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Building a reverse caber-tosser

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Building a reverse caber-tosser

Postby calcyman » March 30th, 2018, 9:28 am

Recall the theorem that there's some fixed number N such that any pattern with a glider synthesis can be synthesised in N or fewer gliders.

It relies on a construction of a pattern which can produce a binary stream according to the distance between two separated initial islands. The most cost-effective way to do this would be to build a reverse caber-tosser, where a glider bounces between some fixed circuitry and an approaching Cordership. The fixed circuitry needs to successively tap off the least significant bits of the initial distance between itself and the Cordership.

Does anyone have a reaction where a glider approaches a Cordership head-on and is reflected in the opposite direction? In the interests of minimising N, the Cordership should be as simple as possible.
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Re: Building a reverse caber-tosser

Postby dvgrn » March 30th, 2018, 10:13 am

calcyman wrote:The most cost-effective way to do this would be to build a reverse caber-tosser, where a glider bounces between some fixed circuitry and an approaching Cordership...

Cost-effective in terms of population, you mean? The faraway block has been replaced by a faraway Cordership, so you'll have to make up for that by simpler circuitry.

The block push-and-pull shotguns will go away, but you'll still probably need a multi-glider salvo that uses an edge spark of a 2-engine Cordership to get a glider back, plus whatever timing-adjustment circuitry is needed to hit the Cordership at the right phase.

Then the circuit that extracts the least significant bits, in base 2 or base 3 or whatever, will probably be about the same size... I guess maybe it will come out a bit smaller on balance, but it doesn't seem quite certain until we know what the value of N is.
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Re: Building a reverse caber-tosser

Postby Extrementhusiast » March 30th, 2018, 8:11 pm

calcyman wrote:Does anyone have a reaction where a glider approaches a Cordership head-on and is reflected in the opposite direction? In the interests of minimising N, the Cordership should be as simple as possible.


You put your two gliders in, you take your two gliders out, you put your two gliders in, and you shake yourself about; you do the Hokey Pokey and you turn yourself around; that's what it's all about!
x = 47, y = 102, rule = B3/S23
19b2o$19b4o$19bob2o2$20bo$19b2o$19b3o$21bo$33b2o$33b2o7$36bo$35b2o$34b
o3bo$35b2o2bo$40bo$37bobo$38bo$38bo$38b2o$38b2o3$13bo10bo$12b5o5bob2o
11bo$11bo10bo3bo9bo$12b2o8b3obo9b2o$13b2o9b2o12bo$2o13bo21b3o$2o35b3o
7$8b2o$8b2o11b2o$19b2o2bo$24bo3bo$18bo5bo3bo$19bo2b2o3bobo$20b3o5bo$
28bo32$41b2o$41bobo$41bo17$45b2o$44b2o$46bo!
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Re: Building a reverse caber-tosser

Postby calcyman » March 30th, 2018, 8:34 pm

Extrementhusiast wrote:
calcyman wrote:Does anyone have a reaction where a glider approaches a Cordership head-on and is reflected in the opposite direction? In the interests of minimising N, the Cordership should be as simple as possible.


You put your two gliders in, you take your two gliders out, you put your two gliders in, and you shake yourself about; you do the Hokey Pokey and you turn yourself around; that's what it's all about!
x = 47, y = 102, rule = B3/S23
19b2o$19b4o$19bob2o2$20bo$19b2o$19b3o$21bo$33b2o$33b2o7$36bo$35b2o$34b
o3bo$35b2o2bo$40bo$37bobo$38bo$38bo$38b2o$38b2o3$13bo10bo$12b5o5bob2o
11bo$11bo10bo3bo9bo$12b2o8b3obo9b2o$13b2o9b2o12bo$2o13bo21b3o$2o35b3o
7$8b2o$8b2o11b2o$19b2o2bo$24bo3bo$18bo5bo3bo$19bo2b2o3bobo$20b3o5bo$
28bo32$41b2o$41bobo$41bo17$45b2o$44b2o$46bo!


This is wonderful; thank you! That pair of gliders can be produced by two outputs of a single p256 gun, and I think that by some clever rerouting of the remaining barrels, it can be made to suppress itself except when the returning gliders knock out a glider in the stream.
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Re: Building a reverse caber-tosser

Postby calcyman » March 30th, 2018, 10:14 pm

This ended up being simpler than I anticipated. Watch the pattern below and see the gaps in the two glider streams. The sequence of gaps is:

Upper, Lower, Lower, Lower, Upper, Lower, Upper, (!!!)

and, by moving the Cordership, can encode an arbitrary binary string.

x = 30728, y = 30814, rule = B3/S23
25b2o$25b2o4$19b2o$18bo2b2o$18b2ob2o$19b3o11b2o$10b3o20b2o$9b5o$7bo5bo
$11bo$12bo$13b3o$7bo7bo$10b6o$13bo$9bo$4bob2o$3bob2o29b4o$2b2obo29b2o
4bo$2b2o31b3o4bo$4b2obo2b2o25bo5bo$4b6ob2o22b2o$5bo29b2o2b2o4bo$5bobob
o25bo9bo$6b2ob2o25bo2bo3bo$7bo2bo26bo$8b2o28b2obo$9b2o29bo$8b3o12b3o$
9b2o11bo2b2o$2o7b2o$2o7b3o13bo$5bo16bo2bo$9bo12bo$9bobo10bobo$21bo3bo$
21bo2b2o$21b3o2bo$8b2o15bobo$8b2o15b2o$23bo$23bo2bo$24b3o29931$29937b
2o$29936b2o$29938bo17$29940b3o$29940bo$29941bo474$30530b2o94b2o$30529b
obo93bobo$30531bo95bo62$30466b2o94b2o$30465bobo93bobo$30446b2o19bo95bo
$30439b2o5b2o$30439b2o3$30441b2o27b2o$30441b2o27b2o$30435b2o$30435b2o$
30476b2o$30476b2o$30472b2o$30472b2o4$30477b2o$30435bo41b2o$30435b3o$
30438bo$30437b2o7$30444b3o$30444bo18b3o4b2o$30445bo16bo2bo4bo$30466bo
4b3o$30430b2o30b2o9bo$30430b2o30b2o3bo$30467bo$30465bo$30463b3o$30435b
2o26b2o$30435b2o26bo$30431b2o$30431b2o33b2o$30449b2o15bo2bo2b2o$30448b
obo3b2ob3o7bobo2b2o85b2o$30437b2o9bo5b2o2b2o7b3o$30437b2o8b2o10b2obo
94bo3bo$30460b3o94bo4bo$30461bo97bobobo8bo$30468b2o90bobobo5b3o$30461b
2o5b2o91bo4bo2bo$30461b2o31b2o66bo3bo2b2o$30487b2o5b2o$30487b2o74b2o2b
o$30566bobo$30567b2o2b2o$30489b2o27b2o51b2o11b3o$30489b2o27b2o64b3o$
30483b2o99b3o$30483b2o96b3o$30524b2o55b3o$30524b2o55b3o$30520b2o$
30520b2o56bo$30577bobo$30498b2o77b2o$30497bobo81b2o$30499bo25b2o31bo
22bobo$30483bo41b2o29b2o18b2o5bo$30483b3o71b2o17b2o5b2o$30486bo$30485b
2o4$30484b2o$30484b2o2$30485bo$30484b2o32b2o$30483b3o32bo$30482b2o35b
3o$30478b2ob2o38bo$30478b2o2b2o10b2obo$30489b3o2b2o2bo$30490b2o6bo$
30491b2o4b2o26b2o5b2o$30486b2o8bo29bo5b2o$30484b2obo5b2o31bobo$30479b
2o3bo42b2o$30479b2o3b3o44b2o$30497b2o21b2o8bobo$30496bobo21b2o9bo$
30485b2o9bo17b2o11bo$30485b2o8b2o17b2o10b3o$30525bob3o$30524bo3bo$
30516b2o5bo3bo$30509b2o5b2o4b3obo$30509b2o12b3o$30524bo5$30511b2o2$
30509bo3bo$30509bo4bo114bo$30511bobobo111b3o$30512bobobo10bo98bo$
30513bo4bo8b2o97b2o$30514bo3bo7bobo2$30515b2o2bo$30518bobo$30519b2o$
30515b2o$30514bobo$30514bo5b2o$30513b2o5b2o8$30607b2o$30607b2o2$30577b
o$30575bobo$30576b2o25b2o$30604b2o$30603bo11$30641b2o$30640b2o$30642bo
2$30586b2o$30585bobo$30587bo4$30607b2o5b2o$30607b2o5bo$30612bobo$
30612b2o$30608b2o$30608bobo64b3o$30609bo68bo$30613bo60bo3bo$30612bobo
58bobo2bo$30611bo3bo28b3o24bo2bobo$30612bo3bo27bo26bo3bo$30613bo3bo27b
o25bo$30614bo3bo53b3o$30615bobo51bo$30616bo51bobo$30668b2o$30672b2o$
30672bobo$30582b2o83b2o5bo$30582bobo82b2o5b2o$30582bo14$30626b2o$
30619b2o5b2o$30619b2o$30558b2o5b2o$30559bo5b2o$30559bobo7bobo49b2o27b
2o$30560b2o7b2o50b2o27b2o$30539b2o23b2o4bo44b2o$30540b2o21bobo49b2o$
30539bo20bo3bo91b2o$30560b2o94b2o$30559b2obo89b2o$30558bo2b3o88b2o$
30557bobobo$30556bobobo$30554b3o2bo$30555bob2o98b2o$30556b2o99b2o$
30557bo2$30624b3o$30626bo$30625bo$30590b2o5b2o$30522b2o66b2o5bo$30521b
obo71bobo19b2o$30523bo71b2o19b2o2b2o$30591b2o23bob4o$30591bobo22b3o$
30499b2o91bo23b2o2b2o$30492b2o5b2o94b3o19b3o2bo31bo$30492b2o100bo15b2o
5b2o2b3o28bobo$30594bo3bo11b2o7bo2bo30b2o$30594bo2bobo19b3o102bo$
30494b2o27b2o71bobo2bo18bo103b2o$30494b2o27b2o72bo3bo121b2obo$30488b2o
111bo13b2o105bo2b3o$30488b2o108b3o14b2o104bobobo$30529b2o80b2o107bobob
o$30529b2o80b2o95b3o7b3o2bo$30525b2o125b2o54bo10bob2o$30506bo2b2o14b2o
125b2o55bo10b2o$30505b2o2b3o105b2o27b2o69bo3bo$30504b3o2b2o106b2o27b2o
68bobo$30505b2o2b2o205b2o$30530b2o188b2o$30488bo41b2o116b2o70bobo$
30488b3o150b2o5b2o65b2o5bo$30491bo149b2o72b2o5b2o$30490b2o3$30517bo$
30494b3o19b3o$30494bo24bo$30495bo21b2o$30518bo$30523b2o$30523bo87bo$
30524b3o83bo$30483b2o41bo83b3o$30483b2o4$30488b2o17bo$30488b2o15b2o$
30484b2o20b2o$30484b2o$30502b2o21b2o158b2o$30501bobo21b2o158b2o2b2o$
30490b2o9bo17b2o168bobo$30490b2o8b2o17b2o169bo$30693b3o$30687b2o3bo$
30521b2o165bo3bo3bo$30514b2o5b2o162b3o4bo2bobo$30514b2o83b2o84bo8bobo
2bo$30595b2o2b2o94bo3bo$30594bobo102bo$30591b2o2bo100b3o2$30590bo3bo2b
2o$30589bo4bo2bo$30588bobobo5b3o$30587bobobo8bo$30585bo4bo$30585bo3bo
2$30587b2o!


This is certainly simpler than having a pair of sliding-block-memories and corresponding control circuitry.
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Re: Building a reverse caber-tosser

Postby chris_c » April 1st, 2018, 11:14 am

calcyman wrote:This is certainly simpler than having a pair of sliding-block-memories and corresponding control circuitry.


Yes, it definitely looks simpler. I was thinking of ways of turning this binary stream into something that allows universal construction. This is the best idea I had so far. If there is ever a gap in stream A then the next gap in stream B gives an extra glider output. Something like this should be sufficient for universal construction because we can encode PUSH operations with stream A, PULL operations with stream B and FIRE operations on a transition A->B.

x = 285, y = 293, rule = LifeHistory
249.4B$248.4B$247.4B$35.2A209.4B$34.B2A2B3.2A201.4B$35.4B2.B2AB199.4B
$31.B.6B3.2B199.4B$29.10B2.2B199.4B$11.2A8.2A6.11B2A2B197.4B$10.B2AB
8.A5.12B2A3B.B193.4B$11.2B9.A.AB2.18B2A191.4B$6.B3.2B11.2AB3.B2A12B.B
2A190.4B$5.2AB.4B12.4BA2BA10B3.B190.4B$5.2A8B10.4BA2BA10B193.4B$6.B.B
2A6B2.2B2.5B5A9B193.4B$9.2A14B2AB2A12B192.4B$9.18BA5B.7B192.4B$5.28B
2.6B191.4B$5.29B.7B189.4B$4.2A29B.6B188.4B$4.2A14B.4B7.9B6.A181.4B$5.
B.11B2.4B9.8B4.3A180.4B$7.10B2.4B11.8B2.A182.4B$8.14B13.7B2.2A180.4B$
7.14B15.10B179.4B$8.13B15.8B180.4B$8.13B15.8B179.3AB$10.2B.8B15.8B.2B
175.3BA$13.8B15.13B172.3BA$13.8B15.13B171.4B$11.10B15.14B169.4B$11.2A
2.7B13.14B169.4B$12.A2.8B11.4B2.10B167.4B$9.3A4.8B9.4B2.11B.B164.4B$
9.A6.9B7.4B.14B2A162.4B$15.6B.29B2A161.4B$15.7B.29B161.4B$16.6B2.28B
160.4B$16.7B.24B163.4B$15.31B2A162.4B$15.19B2.2B2.6B2AB.B158.4B$14.
18B10.8B2A156.4B$10.B3.19B11.4B.B2A155.4B$9.2AB.15B2.BABA11.2B3.B155.
4B$9.2A18B2.B2AB9.2B159.4B$10.B.3B2A12B3.A3B7.B2AB157.4B$13.2B2A11B5.
4B7.2A157.4B$14.2B2.10B6.4B164.4B$13.2B3.6B.B9.4B162.4B$12.B2AB2.4B
14.4B160.4B$13.2A3.2B2AB14.4B158.4B$20.2A16.4B156.4B82.B$39.4B154.4B
82.2B$40.4B152.4B82.3B$41.4B150.4B82.4B$42.4B148.4B82.4B$43.4B146.4B
82.4B$44.4B144.4B82.4B$45.4B142.4B82.4B$46.4B140.4B82.4B$47.4B138.4B
82.3AB$48.4B136.4B82.3BA$49.4B134.4B82.3BA$50.4B132.4B82.4B$51.4B130.
4B82.4B$52.4B128.4B82.4B$53.4B126.4B82.4B$54.4B37.2B85.4B82.4B$55.4B
35.3B84.4B82.4B$56.4B34.B2A2B81.4B82.4B$57.4B32.AB2A2B80.4B82.4B$58.
4B21.A8.A.4B80.4B82.4B$59.4B20.3A4.4B.A81.4B82.4B$60.4B22.A2.2B2ABA
81.4B82.4B$61.4B20.2A2.2B2AB81.4B82.4B$62.4B19.4B2.3B80.4B82.4B$63.4B
20.BAB.2B80.4B82.4B$64.4B18.BABA.B80.4B82.4B$65.4B14.2A.B2A2B80.4B82.
4B$66.4B13.2A7B78.4B82.4B$67.4B13.7B78.4B82.4B$68.4B12.7B77.4B82.4B$
69.4B12.6B76.4B82.4B$70.4B10.2A6B74.4B82.4B$71.4B8.ABAB2.4B72.4B82.4B
$72.4B6.3BA4.4B70.4B82.4B$73.4B4.4B6.4B68.4B82.4B$74.4B2.4B8.4B66.4B
82.4B$75.8B10.4B64.4B82.4B$76.6B12.4B62.4B82.4B$77.4B14.4B60.3AB82.4B
$76.6B14.4B58.3BA82.4B$75.8B14.4B56.3BA82.4B$74.4B2.4B14.4B54.4B82.4B
$73.4B4.4B14.4B52.4B82.4B$72.4B6.4B14.4B50.4B82.4B$71.4B8.4B14.4B48.
4B82.4B$70.4B10.4B14.4B46.4B82.4B$69.4B12.4B14.4B44.4B82.4B$68.4B14.
4B14.4B42.4B82.4B$67.4B16.4B14.4B40.4B82.4B$66.4B18.4B14.4B38.4B82.4B
$65.4B20.4B14.4B36.4B82.4B$64.4B22.4B14.4B34.4B82.4B$63.4B24.4B14.4B
32.4B82.4B$62.4B26.4B14.4B30.4B82.4B$61.4B28.4B14.4B28.4B82.4B$60.4B
30.BABA14.4B26.4B82.4B$41.2A16.4B32.B2AB14.4B24.4B82.4B$34.2A3.2B2AB
14.4B34.A3B14.4B22.4B82.4B$33.B2AB2.4B14.4B36.4B14.4B20.4B82.4B$34.2B
3.6B.B9.4B38.4B14.4B18.4B82.4B$35.2B2.10B6.4B40.4B14.4B16.4B82.4B$34.
2B2A11B5.4B7.2A33.4B14.4B14.4B82.4B$31.B.3B2A12B3.4B7.B2AB33.4B14.4B
12.4B82.4B$30.2A18B2.4B9.2B35.4B14.4B10.4B82.4B$30.2AB.15B2.4B11.2B3.
B31.4B14.4B8.4B82.4B$31.B3.11B3A5B11.4B.B2A31.4B14.4B6.4B82.4B$35.10B
A4BA2B10.8B2A32.4B14.4B4.4B82.4B$36.9B2ABA6B2.2B2.6B2AB.B34.4B14.4B2.
4B82.4B$36.13B3A15B2A38.4B14.8B82.4B$37.7B.7BA16B39.4B14.6B82.4B$37.
6B2.28B36.4B14.4B82.4B$36.7B.29B37.4B12.6B80.4B$36.6B.29B2A37.4B10.8B
78.3AB$30.A6.9B7.4B.14B2A38.4B8.4B2.4B76.3BA$30.3A4.8B9.4B2.11B.B40.
4B6.4B4.4B74.3BA$33.A2.8B11.4B2.10B43.4B4.4B6.4B72.4B$32.2A2.7B13.14B
45.4B2.4B8.4B70.4B$32.10B15.14B45.8B10.4B68.4B$34.8B15.13B44.9B12.4B
66.4B$34.8B15.13B43.9B14.4B64.4B$31.2B.8B15.8B.2B44.11B14.4B62.4B$29.
13B15.8B46.4B2.7B14.4B60.4B$29.13B15.8B45.4B2.3B2.4B14.4B58.4B$28.14B
15.10B42.4B3.B2AB2.4B14.4B56.4B$29.14B13.7B2.2A41.4B5.2A4.4B14.4B54.
4B$28.10B2.4B11.8B2.A41.4B13.4B14.4B52.4B$26.B.11B2.4B9.8B4.3A37.4B
15.4B14.4B50.4B$25.2A14B.4B7.9B6.A36.4B17.4B14.4B48.4B$25.2A29B.6B41.
4B19.4B14.4B46.4B85.B$26.29B.7B40.4B21.4B14.BABA44.4B85.2B$26.28B2.6B
40.4B23.4B14.B2AB42.4B85.3B$30.24B.7B39.4B25.4B14.A3B40.4B85.4B$30.2A
31B37.4B27.4B14.4B38.4B85.4B$27.B.B2A6B2.2B2.19B36.4B29.4B14.4B36.4B
85.4B$26.2A8B10.18B34.4B31.4B14.4B34.4B85.4B$26.2AB.4B12.18B3.B29.4B
33.4B14.4B32.4B85.4B$27.B3.2B11.2AB3.15B.B2A27.4B35.4B14.4B30.4B85.4B
$32.2B9.A.AB2.18B2A26.4B37.4B14.4B28.4B85.4B$31.B2AB8.A5.12B2A3B.B26.
4B39.4B14.4B26.4B85.4B$32.2A8.2A6.11B2A2B28.4B41.4B14.4B24.4B85.4B$
50.10B2.2B28.A3B43.4B14.4B22.4B85.4B$52.B.6B3.2B26.B2AB45.4B14.4B20.
4B85.4B$56.4B2.B2AB24.BABA47.4B14.4B18.4B85.4B$55.B2A2B3.2A24.4B49.4B
14.4B16.4B85.4B$56.2A30.4B51.4B14.4B14.4B85.4B$87.4B53.4B14.4B12.4B
85.4B$86.4B55.4B14.4B10.4B85.4B$85.4B57.4B14.4B8.4B85.4B$84.4B59.4B
14.4B6.4B85.4B$83.4B61.4B14.4B4.4B85.4B$82.4B63.4B14.4B2.4B85.4B$81.
4B65.4B14.8B85.4B$80.4B67.4B11.9B85.4B$79.4B69.4B9.9B85.4B$78.4B71.4B
7.11B83.4B$77.4B73.4B5.4B2.7B81.4B$76.4B75.4B3.4B2.3B2.4B79.4B$75.4B
77.4B.4B3.B2AB2.4B77.4B$74.4B79.7B5.2A4.4B75.4B$73.4B81.5B13.4B73.4B$
72.4B82.5B14.4B71.4B$71.4B82.7B14.4B69.4B$70.4B82.4B.4B14.4B67.4B$69.
4B82.4B3.4B14.4B65.4B$68.4B82.4B5.4B14.4B63.4B$67.4B82.4B7.4B14.4B61.
4B$66.4B82.4B9.4B14.4B59.4B$65.4B82.4B11.4B14.4B16.A40.4B$64.4B82.4B
13.4B14.4B15.3A37.4B$63.4B82.4B15.4B14.4B17.A35.4B$62.4B82.4B17.4B14.
4B15.2A34.4B$61.4B82.4B19.4B14.4B14.5B30.4B$60.4B82.4B21.4B14.4B6.2A
7.3B7.2A20.4B$59.4B82.4B23.4B14.4B6.A6.5B6.A20.4B$58.4B82.A3B25.4B14.
4B5.A.AB3.5B3.BA.A19.4B$57.4B82.B2AB27.4B14.4B5.2AB.9B.B2A19.4B$56.4B
82.BABA29.4B14.4B6.13B20.4B$55.4B82.4B31.4B14.4B5.13B19.4B$54.4B82.4B
33.4B14.4B4.13B.2B15.4B$53.4B82.4B35.4B14.4B5.11B.3B13.4B$52.4B82.4B
37.4B14.4B6.2BA10B12.4B$51.4B82.4B39.4B14.4B5.BABA10B10.4B$50.4B82.4B
41.4B14.4B5.ABA10B9.4B$49.4B82.4B43.4B14.4B4.BA11B8.4B$48.4B82.4B45.
4B14.4B4.13B6.4B$47.4B82.4B47.4B14.4B3.13B5.4B$46.4B82.4B49.4B14.4B3.
12B4.4B$45.4B82.4B51.4B14.4B4.10B3.4B$44.4B82.4B53.4B14.4B.12B.5B$29.
5D9.4B82.4B55.4B14.21B$29.D3.D8.4B82.4B57.4B14.21B$29.D3.D7.4B82.4B
59.4B14.21B$29.5D6.4B82.4B61.4B14.21B$29.D3.D5.4B82.4B63.4B14.20B$29.
D3.D4.4B82.4B65.4B14.18B$37.4B82.4B67.4B13.16B2A$36.4B82.4B69.4B11.
17B2A$35.4B82.4B71.4B9.19B$16.2A16.4B82.4B73.4B7.19B$9.2A3.2B2AB14.4B
82.4B75.4B5.16B$8.B2AB2.4B14.4B82.4B77.4B4.15B$9.2B3.6B.B9.4B82.4B79.
4B4.14B$10.2B2.10B6.4B82.4B81.4B3.15B$9.2B2A11B5.4B7.2A73.4B83.4B.17B
$6.B.3B2A12B3.A3B7.B2AB71.4B85.22B$5.2A18B2.B2AB9.2B71.4B87.22B$5.2AB
.15B2.BABA11.2B3.B65.4B89.22B$6.B3.19B11.4B.B2A63.4B90.23B$10.18B10.
8B2A62.4B91.24B$11.19B2.2B2.6B2AB.B62.4B92.19B2.3B$11.31B2A64.4B93.
18B5.B2A$12.7B.24B63.4B92.2A17B6.BA.A$12.6B2.28B58.4B92.A.A18B8.A$11.
7B.29B57.4B93.A4.17B7.2A$11.6B.29B2A55.4B93.2A5.3B2A11B$5.A6.9B7.4B.
14B2A54.4B104.2A6B4.B2A$5.3A4.8B9.4B2.11B.B54.4B109.4B4.BA.A$8.A2.8B
11.4B2.10B55.4B111.4B6.A$7.2A2.7B13.14B55.4B113.3B6.2A$7.10B15.14B53.
4B116.B2A$9.8B15.13B53.4B117.BA.A$9.8B15.13B52.4B121.A$6.2B.8B15.8B.
2B53.4B122.2A$4.13B15.8B55.4B$4.13B15.8B54.4B$3.14B15.10B37.5D9.4B$4.
14B13.7B2.2A37.D3.D8.4B$3.10B2.4B11.8B2.A38.D3.D7.4B$.B.11B2.4B9.8B4.
3A35.4D7.4B$2A14B.4B7.9B6.A35.D3.D5.4B$2A29B.6B41.D3.D4.4B$.29B.7B41.
5D3.4B$.28B2.6B31.2A16.4B$5.18BA5B.7B24.2A3.2B2AB14.4B$5.2A14B2AB2A
12B22.B2AB2.4B14.4B$2.B.B2A6B2.2B2.5B5A9B23.2B3.6B.B9.4B$.2A8B10.4BA
2BA10B23.2B2.10B6.4B$.2AB.4B12.4BA2BA10B3.B18.2B2A11B5.4B7.2A$2.B3.2B
11.2AB3.B2A12B.B2A14.B.3B2A12B3.A3B7.B2AB$7.2B9.A.AB2.18B2A13.2A18B2.
B2AB9.2B$6.B2AB8.A5.12B2A3B.B14.2AB.15B2.BABA11.2B3.B$7.2A8.2A6.11B2A
2B18.B3.19B11.4B.B2A$25.10B2.2B23.18B10.8B2A$27.B.6B3.2B23.19B2.2B2.
6B2AB.B$31.4B2.B2AB22.31B2A$30.B2A2B3.2A24.7B.24B$31.2A31.6B2.28B$63.
7B.29B$63.6B.29B2A$57.A6.9B7.4B.14B2A$57.3A4.8B9.4B2.11B.B$60.A2.8B
11.4B2.10B$59.2A2.7B13.14B$59.10B15.14B$61.8B15.13B$61.8B15.13B$58.2B
.8B15.8B.2B$56.13B15.8B$56.13B15.8B$55.14B15.10B$56.14B13.7B2.2A$55.
10B2.4B11.8B2.A$53.B.11B2.4B9.8B4.3A$52.2A14B.4B7.9B6.A$52.2A29B.6B$
53.29B.7B$53.28B2.6B$57.18BA5B.7B$57.2A14B2AB2A12B$54.B.B2A6B2.2B2.5B
5A9B$53.2A8B10.4BA2BA10B$53.2AB.4B12.4BA2BA10B3.B$54.B3.2B11.2AB3.B2A
12B.B2A$59.2B9.A.AB2.18B2A$58.B2AB8.A5.12B2A3B.B$59.2A8.2A6.11B2A2B$
77.10B2.2B$79.B.6B3.2B$83.4B2.B2AB$82.B2A2B3.2A$83.2A!


Can anyone come up with something better or push this design on further?
chris_c
 
Posts: 851
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Re: Building a reverse caber-tosser

Postby Goldtiger997 » April 28th, 2018, 7:02 am

I've been having a go at synthesizing calcyman's reverse caber tosser from two posts above. So far I've created a "final step" for it, which reduces the problem to synthesizing a bunch of blocks, boats, eaters, one beehive, and many figure eights:

x = 993, y = 875, rule = B3/S23
407bo$406bo$406b3o7$402bo$401bo$401b3o21$471bo$470bo$470b3o7$466bo$
465bo$465b3o34$625bobo$625b2o$626bo11$303b2o$296b2o5b2o$296b2o3$298b2o
27b2o$298b2o27b2o$292b2o$292b2o$333b2o$333b2o$329b2o$329b2o3$310b2o$
310b2o22b2o$292bo41b2o$292b3o$295bo$294b2o8$327b2o$327bo$328b3o$287b2o
41bo$287b2o4$292b2o$292b2o$288b2o$288b2o277bobo$306b2o21b2o236b2o$305b
obo21b2o237bo$294b2o9bo17b2o$294b2o8b2o17b2o3$325b2o$318b2o5b2o$318b2o
31b2o209bobo$344b2o5b2o209b2o$344b2o217bo2$427bo$346b2o27b2o49bobo$
346b2o27b2o48bo3bo$340b2o84bo3bo8bo$340b2o85bo3bo5b3o$381b2o45bo3bo3bo
$381b2o46bobo4b2o$377b2o51bo$377b2o55bo$433bobo16bo$434b2o2b2o12b2o$
358b2o78b2o11b2obo$358b2o22b2o66bo2b3o$340bo41b2o65bobobo$340b3o105bob
obo$248bo16bobo75bo102b3o2bo$246bobo17b2o74b2o103bob2o$247b2o17bo181b
2o$445bo3bo$243bo13bo186bobo$244bo13b2o184b2o$242b3o12b2o189b2o$448bob
o$443b2o5bo$167bobo91bo113b2o66b2o5b2o$168b2o92b2o111bo$168bo92b2o113b
3o$335b2o41bo$335b2o4$340b2o$340b2o$336b2o$336b2o$354b2o21b2o$353bobo
21b2o$342b2o9bo17b2o$342b2o8b2o17b2o2$392b2o5b2o$373b2o18bo5b2o$366b2o
5b2o18bobo$366b2o26b2o$398b2o$397bobo$398bo$394bo2$392b3obo$391bob2o$
391b2obo$389bob3o2$391bo6$379bo$378bobo$377bo3bo$378bo3bo$379bo3bo$
380bo3bo$381bobo$382bo$386bo$385bobo$386b2o$382b2o$381bobo$381bo5b2o$
380b2o5b2o36$474b2o5b2o$474b2o5bo$479bobo$479b2o$475b2o$475bobo$476bo
2b2o62b2o$541bob2o$477bo3bo58bo$477bo4bo60bo$479bobobo55b2obo$480bobob
o54b2o$481bo4bo$482bo3bo49bo$535bobo$483b2o50b2o$539b2o$539bobo$534b2o
5bo$534b2o5b2o15$493b2o$486b2o5b2o$486b2o$425b2o5b2o$426bo5b2o$426bobo
59b2o27b2o$427b2o59b2o27b2o$431b2o49b2o$430bobo49b2o$431bo91b2o$523b2o
$426b3o90b2o$426b3o90b2o$426b3o$423b3o$423b3o$423b3o98b2o$524b2o6$457b
2o5b2o$457b2o5bo$462bobo$462b2o$458b2o$458bobo$366b2o91bo$359b2o5b2o$
359b2o101b2o13b2o$462b2obo11b2o22b2o28b4o$466bo34b2o28bo$361b2o27b2o
71bo68bo$361b2o27b2o72bob2o122b3o$355b2o109b2o14b2o106b3o$355b2o125b2o
106b3o$396b2o80b2o107b3o$396b2o80b2o107b3o$392b2o125b2o66b3o$392b2o
125b2o$484b2o27b2o69bo$484b2o27b2o68bobo$373b2o208b2o$373b2o22b2o188b
2o$355bo41b2o116b2o70bobo$355b3o150b2o5b2o65b2o5bo$358bo149b2o72b2o5b
2o$357b2o4$384b2o$383bo2bo$b5o378b2o$o4bo$5bo384b2o$o3bo385bo$2bo388b
3o$393bo5$355b2o$355b2o$351b2o$351b2o$369b2o21b2o158b2o$368bobo21b2o
158b2o2b2o$357b2o9bo17b2o168bobo$357b2o8b2o17b2o169bo2$554b2o4b2o$388b
2o165bo4b2obo$381b2o5b2o162b3o9bo$381b2o169bo8bo$562bob2o$564b2o12$
671b2o$621b2o48bobo$621bobo47bo$621bo140$302b2o$301bobo$303bo2$171bo$
171b2o$170bobo3$297b2o$296bobo$298bo8$288b2o$287bobo$289bo$657b2o$657b
obo$657bo19$667b2o$667bobo$667bo5$263b3o$265bo$264bo5$666b3o$252bo413b
o$252b2o413bo$251bobo291$990b3o$990bo$991bo! [[  ZOOM 1 Y -150 X 10 STEP 20 ]]


I've omitted the trivially synthesisable cordership, and adjusted the pattern slightly to make it easier to synthesize (but that it still works, I think). There's probably several reductions that can easily be made.

The next step is working out how to synthesize the still-lifes and figure eights cheaply. I've found synthesize for some of the 2 block combinations, but I doubt that all the figure eights can be made with 4 gliders each.

Anyway, I was thinking that a cool and amusing test of this project if/when it's finished would be to synthesize N loafers with N gliders (where N is the upper bound of all synthesis costs resulting from this project).
Things to work on:
  • Work on the snowflakes orthogonoid
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Goldtiger997
 
Posts: 459
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Re: Building a reverse caber-tosser

Postby Goldtiger997 » May 18th, 2018, 9:35 am

Here's my latest progress on the synthesis:

x = 2958, y = 885, rule = B3/S23
2382bo$2381bo$2381b3o7$2377bo$2376bo$2376b3o21$2446bo$2445bo$2445b3o7$
2441bo$2440bo$2440b3o44$2590bobo$2590b2o$2591bo11$2268b2o$2261b2o5b2o$
2261b2o3$2263b2o27b2o$2263b2o27b2o$2257b2o$2257b2o$2298b2o$2298b2o$
2294b2o$2294b2o3$2275b2o$2275b2o22b2o$2257bo41b2o$2257b3o$2260bo$2259b
2o8$2292b2o$2292bo$2293b3o$2252b2o41bo$2252b2o4$2257b2o$2257b2o$2253b
2o$2253b2o277bobo$2271b2o21b2o236b2o$2270bobo21b2o237bo$1620bobo636b2o
9bo17b2o$1620b2o637b2o8b2o17b2o$1621bo$1625bo$1623b2o665b2o$1624b2o
657b2o5b2o$2283b2o31b2o209bobo$2309b2o5b2o209b2o$2309b2o217bo2$2392bo$
2311b2o27b2o49bobo$2311b2o27b2o48bo3bo$2305b2o84bo3bo8bo$2305b2o85bo3b
o5b3o$16b2o1411b2o915b2o45bo3bo3bo$9b2o5b2o1404b2o5b2o64bo850b2o46bobo
4b2o$9b2o708b2o701b2o72bo22bo822b2o51bo$712b2o5b2o773b3o23b2o820b2o55b
o$712b2o805b2o877bobo16bo$11b2o27b2o1382b2o27b2o944b2o2b2o12b2o$11b2o
27b2o1382b2o27b2o169bo698b2o78b2o11b2obo$5b2o707b2o27b2o673b2o202b2o
699b2o22b2o66bo2b3o$5b2o707b2o27b2o673b2o203b2o680bo41b2o65bobobo$46b
2o660b2o749b2o844b3o105bobobo$46b2o660b2o749b2o138bo613bo16bobo75bo
102b3o2bo$42b2o705b2o704b2o140b2o28bo583bobo17b2o74b2o103bob2o$42b2o
705b2o704b2o141b2o25b2o585b2o17bo181b2o$745b2o879b2o782bo3bo$745b2o
1461bo13bo186bobo$23b2o1411b2o771bo13b2o184b2o$23b2o22b2o1387b2o22b2o
745b3o12b2o189b2o$5bo41b2o677b2o690bo41b2o951bobo$5b3o718b2o22b2o666b
3o987b2o5bo$8bo699bo41b2o669bo710bobo91bo113b2o66b2o5b2o$7b2o699b3o
709b2o711b2o92b2o111bo$711bo1421bo92b2o113b3o$710b2o1588b2o41bo$2300b
2o4$2305b2o$40b2o1411b2o850b2o$40bo1412bo847b2o$41b3o699b2o709b3o844b
2o$2o41bo699bo669b2o41bo862b2o21b2o$2o742b3o666b2o903bobo21b2o$703b2o
41bo1560b2o9bo17b2o$703b2o1602b2o8b2o17b2o2$5b2o1411b2o937b2o5b2o$5b2o
1411b2o918b2o18bo5b2o$b2o705b2o704b2o915b2o5b2o18bobo$b2o705b2o704b2o
915b2o26b2o$19b2o21b2o660b2o726b2o21b2o906b2o$18bobo21b2o660b2o725bobo
21b2o905bobo$7b2o9bo17b2o684b2o21b2o673b2o9bo17b2o912bo$7b2o8b2o17b2o
683bobo21b2o673b2o8b2o17b2o908bo$710b2o9bo17b2o$710b2o8b2o17b2o1616b3o
bo$38b2o1411b2o903bob2o$31b2o5b2o1404b2o5b2o903b2obo$31b2o31b2o675b2o
701b2o31b2o875bob3o$57b2o5b2o668b2o5b2o727b2o5b2o$57b2o675b2o31b2o701b
2o884bo$760b2o5b2o$760b2o$59b2o27b2o1382b2o27b2o$59b2o27b2o1382b2o27b
2o$53b2o97bo609b2o27b2o673b2o97bo$53b2o95b3o609b2o27b2o673b2o95b3o778b
o$94b2o53bo606b2o97bo651b2o53bo780bobo$94b2o53b2o605b2o95b3o651b2o53b
2o778bo3bo$90b2o705b2o53bo650b2o838bo3bo$90b2o55bo649b2o53b2o649b2o55b
o783bo3bo$146bobo644b2o764bobo783bo3bo$147b2o2b2o640b2o55bo709b2o2b2o
780bobo$71b2o78b2o696bobo632b2o78b2o781bo$71b2o22b2o753b2o2b2o628b2o
22b2o841bo$53bo41b2o677b2o78b2o610bo41b2o840bobo$53b3o718b2o22b2o666b
3o882b2o$56bo699bo41b2o669bo877b2o$55b2o699b3o709b2o876bobo$759bo1586b
o5b2o$158bo599b2o811bo773b2o5b2o$157bobo1410bobo$157b2o702bo708b2o$
161b2o697bobo711b2o$161bobo696b2o712bobo$156b2o5bo700b2o703b2o5bo$88b
2o66b2o5b2o699bobo634b2o66b2o5b2o$88bo770b2o5bo634bo$89b3o699b2o66b2o
5b2o634b3o$48b2o41bo699bo669b2o41bo$48b2o742b3o666b2o$751b2o41bo$751b
2o2$53b2o1411b2o$53b2o1411b2o$49b2o705b2o704b2o$49b2o705b2o704b2o$67b
2o21b2o660b2o726b2o21b2o$66bobo21b2o660b2o725bobo21b2o$55b2o9bo17b2o
684b2o21b2o673b2o9bo17b2o$55b2o8b2o17b2o683bobo21b2o673b2o8b2o17b2o$
106b2o5b2o643b2o9bo17b2o730b2o5b2o$107bo5b2o643b2o8b2o17b2o731bo5b2o$
86b2o19bobo699b2o5b2o681b2o19bobo$79b2o5b2o20b2o700bo5b2o674b2o5b2o20b
2o$79b2o31b2o675b2o19bobo679b2o31b2o$111bobo668b2o5b2o20b2o711bobo$
112bo669b2o31b2o708bo$108bo705bobo704bo$815bo$106b3obo700bo707b3obo$
105bob2o1409bob2o$105b2obo700b3obo704b2obo$103bob3o700bob2o704bob3o$
808b2obo859bo$105bo700bob3o707bo152bobo765b2o5b2o$1671b2o766b2o5bo$
808bo866bo768bobo$1494bo179bo769b2o$1494b2o178b3o763b2o$1493bobo944bob
o$2441bo2b2o62b2o$92bo1412bo1000bob2o$91bobo1410bobo935bo3bo58bo$90bo
3bo700bo690b2o15bo3bo120bo813bo4bo60bo$91bo3bo698bobo690b2o15bo3bo118b
2o815bobobo55b2obo$92bo3bo696bo3bo688bo18bo3bo117bobo815bobobo54b2o$
93bo3bo696bo3bo707bo3bo935bo4bo$94bobo698bo3bo707bobo937bo3bo49bo$95bo
700bo3bo707bo127bo863bobo$99bo697bobo712bo122b2o811b2o50b2o$98bobo697b
o712bobo121bobo866b2o$99b2o701bo709b2o990bobo$95b2o704bobo704b2o122b2o
865b2o5bo$94bobo705b2o703bobo121b2o866b2o5b2o$94bo5b2o696b2o707bo5b2o
118bo$93b2o5b2o695bobo706b2o5b2o$797bo5b2o$796b2o5b2o11$2458b2o$890bo
1560b2o5b2o$678bobo193bobo12bo1561b2o$679b2o193b2o13b3o1498b2o5b2o$
679bo195bo1515bo5b2o$2391bobo59b2o27b2o$2392b2o59b2o27b2o$2396b2o49b2o
$2395bobo49b2o$2396bo91b2o$2488b2o$2391b3o90b2o$2391b3o90b2o$688bo
1702b3o$260bo425bobo1699b3o$258b2o427b2o1699b3o$259b2o2127b3o98b2o$
192bo1474bobo819b2o$192bobo1472b2o$192b2o68bobo1403bo$262b2o$263bo$
195b2o1404b2o5b2o$195bo1405b2o5bo813b2o5b2o$193bobo695b2o5b2o706bobo
813b2o5bo$178bo14b2o696b2o5bo707b2o819bobo$178b2o523bo192bobo703b2o
823b2o$177bobo488bo32bobo20bo171b2o704bobo818b2o$669b2o31b2o21b2o165b
2o709bo819bobo$668b2o54b2o166bobo774b2o660b2o91bo$893bo773bob2o653b2o
5b2o$678bo280b2o705bo657b2o101b2o13b2o$246bo432bo277bob2o708bo757b2obo
11b2o22b2o$244bobo430b3o276bo708b2obo762bo34b2o$182b2o61b2o712bo705b2o
659b2o27b2o71bo$183b2o51bo594bo123b2obo1367b2o27b2o72bob2o122b3o$182bo
53b2o13bo470bobo105bo124b2o705bo657b2o109b2o14b2o106b3o$235bobo11bobo
471b2o105b3o828bobo656b2o125b2o106b3o$250b2o3bo467bo228bo708b2o698b2o
80b2o107b3o$253b2o696bobo711b2o694b2o80b2o107b3o$241bo12b2o8b2o488bo
196b2o712bobo689b2o125b2o66b3o$242bo5bo14b2o490b2o198b2o703b2o5bo689b
2o125b2o$240b3o4b2o16bo488b2o199bobo702b2o5b2o780b2o27b2o69bo$247bobo
700b2o5bo1491b2o27b2o68bobo$950b2o5b2o1379b2o208b2o$272b2o445bo35bo
1582b2o22b2o188b2o$271b2o447b2o34bo128bo4bobo1427bo41b2o116b2o70bobo$
140bo132bo445b2o33b3o128bobo2b2o1428b3o150b2o5b2o65b2o5bo$141bo127bo
615b2o4bo1431bo149b2o72b2o5b2o$139b3o126b2o65bo1986b2o$268bobo64bobo$
335b2o$132bo$126bo3bobo206bo2009b2o$127b2o2b2o205bo2009bo2bo$126b2o
210b3o1625b5o378b2o$1965bo4bo$206b2o1411b2o349bo384b2o$121bobo75b2o5b
2o1404b2o5b2o344bo3bo385bo$122b2o75b2o708b2o701b2o353bo388b3o$122bo
779b2o5b2o647b2o798bo$902b2o650b2o2b2o$141bo59b2o27b2o616b2o703bobo58b
2o27b2o$142bo58b2o27b2o612b2o2b2o704bo59b2o27b2o$140b3o52b2o646bobo58b
2o27b2o673b2o$152bo42b2o647bo59b2o27b2o614b3o4b2o50b2o710b2o$143bo7b2o
83b2o660b2o649b3o4bo92b2o669b2o$143b2o6bobo82b2o26bobo572b3o4b2o50b2o
649b3o5b3o89b2o665b2o$142bobo87b2o31b2o572b3o4bo92b2o605b3o10bo85b2o
669b2o$232b2o31bo573b3o5b3o89b2o605b3o96b2o687b2o21b2o158b2o$836b3o10b
o85b2o609b3o784bobo21b2o158b2o2b2o$269bobo564b3o96b2o1385b2o9bo17b2o
168bobo$270b2o564b3o1483b2o8b2o17b2o169bo$146bo90b2o31bo59bo1319b2o$
145b2o90b2o91bobo407bobo22bo884b2o867b2o4b2o$131b2o12bobo26bo85bo69b2o
398bobo8b2o23bo173b2o1411b2o165bo4b2obo$130bobo41bobo84b2o468b2o8bo22b
3o173b2o1404b2o5b2o162b3o9bo$132bo41b2o84b2o469bo1614b2o169bo8bo$2527b
ob2o$2529b2o$177b2o1404b2o5b2o$177bo1405b2o5bo$175bobo695b2o5b2o706bob
o$160bo14b2o696b2o5bo707b2o$160b2o716bobo703b2o$159bobo716b2o674bo29bo
bo$874b2o616b2o60b2o29bo$874bobo608b2o5b2o59bobo$190b2o683bo609b2o116b
2o53b2o$190b2o22b2o1387b2o22b2o28b2o$214b2o677b2o732b2o30bo$893b2o22b
2o568b2o27b2o1118b2o$164b2o751b2o568b2o27b2o198b3o867b2o48bobo$165b2o
28b2o1284b2o125b2o106b3o867bobo47bo$164bo30b2o809b3o472b2o125b2o106b3o
867bo$191b2o705b2o106b3o513b2o80b2o107b3o$191b2o705b2o106b3o513b2o27b
2o51b2o107b3o$232b2o660b2o107b3o512b2o30bobo92b2o66b3o$232b2o660b2o
107b3o512b2o32bo92b2o$197b2o27b2o707b2o66b3o604b2o27b2o69bo$197b2o27b
2o707b2o673b2o27b2o68bobo$900b2o27b2o69bo498b2o208b2o$900b2o27b2o68bob
o497b2o22b2o188b2o$228b2o769b2o522b2o116b2o70bobo$221b2o5b2o773b2o629b
2o5b2o65b2o5bo$221b2o708b2o70bobo628b2o72b2o5b2o$924b2o5b2o65b2o5bo$
924b2o72b2o5b2o3$1510b2o$1509bo2bo$1510b2o2$1516b2o$1516bo$1517b3o$
1519bo2$265bo19bo$265bobo15b2o$265b2o17b2o$1481b2o$274bo1206b2o$273bo
14bobo1186b2o$273b3o12b2o1187b2o$264b2o23bo1205b2o21b2o158b2o$255b3o7b
2o1227bobo21b2o158b2o2b2o$257bo6bo5bo697b2o513b2o9bo17b2o168bobo$256bo
12bo698b2o2b2o509b2o8b2o17b2o169bo2b2o$269b3o700bobo$340b2o631bo2b2o
702b2o2bo3bo$268bo71bobo1171b2o165bo2bo4bo$267b2o54b3o14bo629b2o2bo3bo
528b2o5b2o162b3o5bobobo$267bobo53bo647bo2bo4bo527b2o169bo8bobobo$324bo
643b3o5bobobo707bo4bo$348b2o618bo8bobobo707bo3bo$348bobo627bo4bo$348bo
630bo3bo706b2o$265bo$265b2o77b3o633b2o680b3o$264bobo12b2o63bo1317bo$
279bobo63bo1317bo$279bo$1534b2o$1535b2o$1534bo4$759b2o$754bo5b2o$754b
2o3bo$753bobo111b2o658b2o$866b2o658bobo$868bo659bo$760bo889b3o$760b2o
888bo$759bobo889bo6$1524b2o$1525b2o$1524bo9$736b3o$738bo$737bo$767bo$
767b2o$766bobo5$870bo$869b2o$869bobo$682b2o$683b2o$682bo4$699bo$699b2o
$698bobo7$682b2o$683b2o$682bo5$876b3o$876bo$877bo2$721bo162b2o$721b2o
161bobo$720bobo161bo5$677bo$677b2o$676bobo203b3o$882bo$883bo$665b2o$
666b2o9bo$665bo11b2o$676bobo5$2267b2o$2266bobo$2268bo2$2136bo$2136b2o$
2135bobo3$2262b2o$2261bobo$2263bo8$2253b2o$2252bobo$2254bo$2622b2o$
2622bobo$2622bo19$2632b2o$2632bobo$2632bo5$2228b3o$2230bo$2229bo5$
2631b3o$2217bo413bo$2217b2o413bo$2216bobo291$2955b3o$2955bo$2956bo! [[ STEP 20 ]]


Could someone inform me what the next step will be after this syntheses is eventually completed, as I'm not sure I completely understand? Thanks in advance.
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Re: Building a reverse caber-tosser

Postby dvgrn » May 18th, 2018, 11:14 am

Goldtiger997 wrote:Here's my latest progress on the synthesis...

Looks good! Only a few figure-eights to go, and then the rest looks pretty easy -- with the caveat that a lot of the block constellations will have cheaper syntheses than the trivial two gliders per block.

Goldtiger997 wrote:Could someone inform me what the next step will be after this synthesis is eventually completed, as I'm not sure I completely understand?

Well, we still have to connect the caber tosser's output to something that allows for universal construction, like chris_c's suggestion.

As I understand it, we'll have to build the cheapest possible glider-constructible shotgun that we can think of, that can do a PUSH operation on a construction-arm elbow

-- and another shotgun to do a relatively-prime PULL operation

-- and one more to produce a 90-degree glider from the elbow.

(If there are clever ways to use parts of one shotgun to produce gliders for part of another salvo, we might want to do that. Whatever it takes to arrive at the absolute minimal mechanism.)

Then we synthesize all those mechanisms in combination with the caber tosser.

Then we count the total number of gliders in the combined synthesis.

Then we add nine gliders to construct a 2-engine Cordership Painfully Far Away (TM). Might need to add a few more gliders for kickbacks, amusingly, so that all those Cordership synthesis gliders can come from infinity -- some of them might pass through the construction zone and hit SE-traveling gliders coming in to build the reverse caber tosser.

That total count will be the upper bound for the largest number of gliders needed to synthesize any glider-constructible object, even fleets containing zillions of Geminis, Demonoids, Orthogonoids, and/or 0E0P metacells.

We could add two separate shotguns for the two colors of glider outputs, to make the construction arm a lot easier to program -- but we shouldn't do that.

First off, chris_c's design only has three possible signal outputs, so there's nothing to connect the extra shotgun to anyway. But also, any unnecessary addition to the mechanism would increase the number of gliders needed in the Demonoid-or-whatever recipe, and the idea is to do everything we can to minimize that number.

Making the construction arm more efficient at the cost of adding more mechanism would reduce the bounding box of the glider synthesis of (say) a Demonoid, from Astronomical Cubed to Astronomical Squared (or something like that).

But we really don't care if we have to put the nine Cordership gliders a bajillion times farther away to complete the recipe. If we have any kind of universal construction mechanism, no matter how inefficient, it will win the competition as long as it takes fewer gliders to synthesize than any other mechanism.

Make sense (sort of)?
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Re: Building a reverse caber-tosser

Postby Goldtiger997 » May 22nd, 2018, 8:02 am

I've now completed the synthesis of the reverse caber tosser. Here's what comes before the first step in the synthesis in my above post, turned into one long continuous synthesis (132 gliders):

x = 566, y = 592, rule = B3/S23
9bo$7bobo$bobo4b2o$2b2o290bo$2bo291bobo$286bobo5b2o$286b2o$287bo6$o5bo
$b2o4b2o273bo$2o4b2o274bobo$282b2o18bobo$302b2o$303bo$17bobo$18b2o$18b
o2$283bo$282bo$282b3o4$9bo$10b2o$9b2o2$284bo$283bo$283b3o3$24bo39bo$
25b2o38b2o253bo4bobo$24b2o38b2o254bobo2b2o$320b2o4bo$295bo$65bo228bo$
23bobo40bo227b3o24bobo$24b2o38b3o254b2o$24bo45bo251bo$68bobo$69b2o$
295bo$295bobo$295b2o15$69bo$70bo$68b3o3$270bo$268b2o$42bo226b2o$43bo$
41b3o$85bo$83bobo$77bobo4b2o$78b2o234bo$78bo235bobo$306bobo5b2o$306b2o
$307bo2$44bo$45b2o$44b2o2$76bo5bo$77b2o4b2o217bo$76b2o4b2o218bobo$302b
2o18bobo$47bo274b2o$45bobo275bo$46b2o45bobo$94b2o$55bo38bo$56b2o$55b2o
246bo$302bo$302b3o4$85bo$86b2o$85b2o2$304bo$303bo$303b3o3$100bo39bo$
101b2o38b2o197bo4bobo$100b2o38b2o198bobo2b2o$340b2o4bo$315bo$141bo172b
o$99bobo40bo171b3o24bobo$100b2o38b3o198b2o$100bo45bo195bo$144bobo$145b
2o$315bo$315bobo$315b2o15$145bo$146bo$144b3o3$290bo$288b2o242bo$118bo
170b2o240bo$119bo411b3o$117b3o10$120bo$121b2o$120b2o6$123bo$121bobo67b
o352bobo$122b2o65bobo352b2o$190b2o353bo$131bo$132b2o$131b2o19bo$153bo$
151b3o393bo$546bo$546b3o6bo$555bobo$555b2o$266bo$196bo70b2o$183bo13bo
68b2o$181bobo11b3o$182b2o376bo$560bobo$167bo392b2o$168bo137bobo$166b3o
137b2o$307bo2$173bo$174bo$172b3o3$170bo$168bobo$169b2o106bobo$278b2o
230bobo$278bo231b2o$511bo$282bobo$283b2o$283bo27bo$311bobo$273bo37b2o$
274b2o$273b2o4$288bo$287bo$287b3o7$264b2o$263bobo$265bo2$274bo$260b2o
11bo$259bobo11b3o$261bo$269bo14bo$268bo14b2o$268b3o12bobo$193bobo108b
3o$194b2o108bo$194bo83bo26bo$278bobo$278b2o31$64bo$41b2o21b2o$42b2o19b
obo$41bo12b3o$56bo$55bo2$43b2o$42bobo$44bo9b3o$56bo$55bo9$140bo$117b2o
21b2o$118b2o19bobo167b2o$117bo12b3o175b2o$132bo56b2o119bo$131bo56bobo$
190bo109bo$119b2o178b2o$118bobo178bobo$120bo9b3o$132bo172bo$131bo172b
2o$304bobo$71bo$71b2o$70bobo$180b2o$181b2o$180bo$200b2o$201b2o$200bo
107b3o$308bo$309bo2$304b2o$304bobo$304bo2$299b2o$299bobo$299bo2$147bo$
147b2o18b3o$146bobo20bo$168bo3$159b3o$161bo$160bo$163b2o$162bobo$164bo
5$19b2o$20b2o$19bo18$95b2o$96b2o$95bo93$467b3o$467bo8bo$468bo6b2o$475b
obo$182b3o$184bo$183bo70$547b2o$546b2o$190bo357bo$190b2o$189bobo3$535b
2o$528b3o4bobo$528bo6bo$529bo2$144bo$138b3o3b2o384b2o$140bo2bobo384bob
o$139bo390bo2$492bo$491b2o$491bobo$130b3o$132bo$131bo17b2o$148bobo$
150bo$505b2o$505bobo$505bo$509b3o$149b3o357bo$151bo358bo$150bo2$510b2o
$509b2o$511bo12$548bo$547b2o$547bobo$563b3o$563bo$169b2o385b2o6bo$168b
obo384b2o$170bo386bo6$555bo$554b2o$554bobo!


...though actually the synthesis isn't technically complete. I replaced a block with a pond to save a glider (the pond synthesis could dodge the figure eights), and most of the figure eights have the wrong timings. However, these should be fairly easy to fix.

I'll probably make a continuous synthesis for the whole reverse caber tosser (minus cordership) fairly soon, unless someone beats me to it and/or makes improvements.

dvgrn wrote:Make sense (sort of)?


Yeah thanks, that was very helpful (though I also used this thread). I now believe I understand the idea fully, and the way it works is even cooler than I thought. Here's what I think the next steps needed to finish the "Build Anything Constructible with a Fixed Number of Gliders" project, if I'm understanding it correctly:

Optional steps are marked with a "*".
1. "Finish" the reverse caber tosser synthesis
2*. Attempt to improve chris_c's "binary stream to universal constructor device"
3*. Try to find a better (than this one) construction arm
4. Create a cheaply synthesizable shotgun for the construction arm salvo
5. Cheaply redirect the PUSH, PULL, and FIRE gliders to delete (or similar) particular gliders from the shotgun, presumably by reflectors
6. Synthesize the patterns made in steps 2, 4, and 5.
7. Assemble this synthesis with the reverse caber tosser synthesis and a cordership synthesis
8. Enjoy a really cool pattern
9*. (probably really hard) create a script that converts a P1 slow salvo into a synthesis of the above mentioned components by placing the cordership in a calculated position.
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Re: Building a reverse caber-tosser

Postby dvgrn » May 22nd, 2018, 9:28 am

Goldtiger997 wrote:Here's what I think the next steps needed to finish the "Build Anything Constructible with a Fixed Number of Gliders" project, if I'm understanding it correctly...

That all seems about right. For steps 3 through 5, we could just build separate shotguns for PUSH, PULL, and FIRE, or combine two of them and leave the third separate, or arrange it so that one or more of the input signals is bounced directly in with reflectors to become part of the salvo -- whatever turns out to be cheapest.

Goldtiger997 wrote:9*. (probably really hard) create a script that converts a P1 slow salvo into a synthesis of the above mentioned components by placing the cordership in a calculated position.

It may not really be worth calculating the precise position of the Cordership synthesis in practice -- it's simple enough math, but for any construction where it would make sense to use this method, the coordinates would have an impressive number of digits. The slow salvo not only has to build something that takes more than N gliders (whatever N turns out to be) to construct in the normal way, but it also has to build a seed for a "meteor shower" that will shoot down the entire reverse caber tosser!

We could build an example meteor shower seed if we wanted to, once all the construction-arm shotguns and so forth are complete, but it isn't really necessary because -- strange but true -- no matter how inefficient it is, it doesn't change the total glider count.

The slow salvo will have to be monochromatic, which is a painfully inefficient construction method that hasn't gotten much exercise since the half-baked knightship. So if we wanted to build a compiler, we couldn't use most of the current slmake. We'd have to start over, except presumably we could filter out the monochromatic part of the slmake database.

Technically it won't quite have to be a pure P1 slow salvo: there can be P2 intermediate targets, it's just that the two phases of each P2 object can't be swapped by waiting for one tick, the way you can in a P2 slow salvo. I forget now if I ever tried to give a name to that particular slow salvo flavor, but if I did I guess it didn't stick...

In practice we might find it a bit difficult to write a script to compile a slow salvo for any of the cases this reverse caber tosser idea is designed for -- a Demonoid, or any other large pattern that needs more than N gliders to construct. First we might want a script that compiles any stream of gliders into an equivalent stable seed constellation that can be triggered by one glider, and then we might be getting somewhere.

(I've wanted a script like that for a while anyway. It will allow for some new and entertaining types of self-constructing patterns.)
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Re: Building a reverse caber-tosser

Postby dvgrn » May 22nd, 2018, 9:44 am

dvgrn wrote:The slow salvo will have to be monochromatic, which is a painfully inefficient construction method that hasn't gotten much exercise since the half-baked knightship. So if we wanted to build a compiler, we couldn't use most of the current slmake. We'd have to start over, except presumably we could filter out the monochromatic part of the slmake database.

... Actually what we might be able to do is get simeks interested in running some new searches. We know that there are 0-degree elbow recipes out there somewhere that can produce output gliders on any lane, even or odd, using only monochromatic slow gliders aimed at a block. We just have no idea what the cheapest such recipes are.

With a monochromatic 0-degree toolkit in hand, the compiler script would become relatively easy to write. Then slmake could be used for everything beyond the 0-degree elbow, once the pattern has been successfully converted into seed-constellation form.

A freeze-dried waterbear would be a fun project, though maybe a bit ambitious for a first attempt. Maybe one of David Bell's new single-switch-engine Corderships, or something like that?
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Re: Building a reverse caber-tosser

Postby calcyman » May 22nd, 2018, 11:23 am

chris_c's design is beautiful, and definitely in the spirit of making the circuitry as simple as possible (to reduce N) without any regard to practicality. Continuing in this vein:

If you can show that monochromatic monophase slow-salvo gliders are capable of moving a sub-elbow and emitting the four different flavours (phase/colour combinations) of perpendicular gliders, then you inherit all of the beautiful slmake power at the expense of having two elbows instead of one. And this only gives a constant-factor overhead in the number of bits in the recipe, or a polynomial overhead in the distance to the approaching Cordership.

Let's try to get everything down to fewer than 2018 gliders, and finished by the end of 2018.
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Re: Building a reverse caber-tosser

Postby dvgrn » May 22nd, 2018, 1:20 pm

calcyman wrote:chris_c's design is beautiful, and definitely in the spirit of making the circuitry as simple as possible (to reduce N) without any regard to practicality.

So... are we going to bother to put in an eater for the approaching Cordership? Or just an "absorber", I suppose, something the Cordership can crash into and leave little or no debris:
x = 95, y = 97, rule = B3/S23
23bo$21b2ob2o$21b2o$26bo$21bo4bo2$22b3o2$20bo12b2o$18b2o13b2o$19b2o$
20b4o$20b4o$16b2obob2o$16bo4bo15bo$16bo2b2o7b2o6b3o$17b4o3b2ob3o4b2obo
bo$18bo4b3ob2o10b2o$24b2ob3o4bo4bo$12b2o13b2o6b4o$12bob2o21bo$14b2o$
12b2o$10b2o$10b2o$11bo$7b2o$7b3o$6bo$6b2o25bo$9bo22bobob2o$7bobo24bo2b
2o2bo$8bo28bo2b3o$2o29bo2bo2b4ob2o$2o6bo23bobo5b3o$8bo24bo7bo2$24b2o4$
8b2o$8b2o$22bobo$22bo2bo$22bo2bo$25bo$24b3o7$85bo$84bobo$85b2o6$93bo$
92bobo$93b2o18$89b2o$89b2o9$55bo$54bobo$55b2o$76b2o$76b2o!
#C [[ STEP 16 ]]

At a fairly ridiculous expense, an eater or absorber can be built later on by the salvo encoded by the Cordership, saving a few more gliders. Just have to have some way to get the Cordership under control before it crashes into the reverse caber tosser, so that the meteor-shower seed has something predictable to clean up.

Probably just build the two blocks as an early construction step. If those blocks were constructed last we'd have to worry about possible interference with gliders going back and forth to the Cordership (maybe?), but that certainly won't be a problem while the Cordership is still Far, Far Away. No need to bother with the boats since they just suppress blocks that the meteor shower will be able to clean up with no problem.

calcyman wrote:If you can show that monochromatic monophase slow-salvo gliders are capable of moving a sub-elbow and emitting the four different flavours (phase/colour combinations) of perpendicular gliders, then you inherit all of the beautiful slmake power at the expense of having two elbows instead of one.

Given past experience with the HBK, that shouldn't be too hard. Basically you just build and trigger one-time turners -- can pick known four Blockic ones if necessary, to make the proof really simple. These four should be good enough:

x = 95, y = 73, rule = LifeHistory
42.A$41.B2A$40.BABA$39.4B$38.4B51.A$37.4B51.B2A$36.4B51.BABA$35.4B51.
4B$34.4B51.4B$33.4B51.4B$32.4B51.4B$31.4B51.4B$7.2D.D19.4B51.4B$7.D.
2D18.4B51.4B$11.2D15.4B19.2D2.2D3.2D21.4B$11.D15.4B21.D2.2D3.2D20.4B$
12.D13.4B21.D29.4B$11.2D12.4B22.2D2.2D3.2D18.2C2B$7.2D.D14.4B26.D.D.D
.D16.2B2C4B$7.D.2D12.7B.B2C17.2D4.D.D18.8B$5.2D14.9B.B2C18.D3.2D.D16.
11B$5.D15.11B19.D8.2D14.13B$6.D13.3B2C7B19.2D8.D13.14B$5.2D14.2B2C7B
28.D14.13B$7.2D.D11.10B19.2D7.2D12.14B$7.D.2D11.11B19.D8.D12.14B$25.
9B17.D8.D12.2C13B$23.6B2.4B16.2D7.2D11.2C14B$23.2CB.2B3.4B39.3B2C5B.
4B$23.2CB7.B3C41.2C3B4.4B$34.C2B44.B6.B3C$35.C53.C2B$90.C11$39.2A$38.
ABA$37.3BA$36.4B51.2A$35.4B51.ABA$34.4B51.3BA$33.4B51.4B$32.4B51.4B$
31.4B41.B9.4B$30.4B40.4B7.4B$2D5.2D.D18.4B40.6B5.4B$.D5.D.2D15.2C4B
41.6B4.4B$D10.2D12.B2C3B41.2C7B.4B$2D9.D13.5B41.B2C11B$12.D11.6B21.2D
.D4.2D10.12B2C$2D9.2D10.7B21.D.2D5.D11.8B.2B2C$.D5.2D.D11.2C8B23.2D2.
D10.11B$D6.D.2D10.B2C9B22.D3.2D9.12B$2D9.2D8.12B23.D12.3B2C9B$11.D11.
8B24.2D2.2D8.3B2C3B3.4B$2D10.D10.8B20.2D.D5.D8.6B6.4B$.D9.2D11.3B.4B
19.D.2D4.D9.6B7.4B$D6.2D.D18.4B16.2D8.2D11.2B9.4B$2D5.D.2D19.4B15.D
34.4B$31.4B15.D8.2D24.4B$32.4B13.2D9.D25.4B$33.B3C14.2D.D4.D27.4B$34.
C2B14.D.2D4.2D27.B3C$35.C53.C2B$90.C!

So then we just need a monochromatic recipe toolkit that can duplicate blocks and place them in these four patterns, at the right offset to be triggered by the last monochromatic glider in the recipe. That doesn't seem like too tall an order. Anybody remember what was collected along these lines for the HBK turner recipes?

-- I was thinking more in terms of a "0-degree elbow", but that adds an unnecessary limitation: you could only build slow salvos up to the width of your 0-degree glider toolkit. Of course we can do the same kind of trick with one-time turners to make a recipe for a 0-degree glider of either parity on any chosen lane, but the recipes would get unwieldy for large lane offsets.

calcyman wrote:Let's try to get everything down to fewer than 2018 gliders, and finished by the end of 2018.

The first part at least should be an easy target. So far Goldtiger997 has only used up 131 + 132 + 9 = 272 gliders. Seems like we'll still be down somewhere in the three-digit range after adding the construction-arm piece, won't we?

The math seems to come out to each new bit arriving from the Cordership in half the time required to produce the previous bit. So it looks like an N-bit recipe will take something like k * 2^N ticks to build. What's the exact multiplier k? Seems to be less than 2850, and I should just think about it until it's obvious.
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Re: Building a reverse caber-tosser

Postby calcyman » May 23rd, 2018, 2:50 pm

Here's a version of chris_c's decoder using only one 4-barrelled p256 gun, shown attached to the original reverse caber-tosser:

x = 30778, y = 30814, rule = B3/S23
25b2o$25b2o4$19b2o$18bo2b2o$18b2ob2o$19b3o11b2o$10b3o20b2o$9b5o$7bo5bo
$11bo$12bo$13b3o$7bo7bo$10b6o$13bo$9bo$4bob2o$3bob2o29b4o$2b2obo29b2o
4bo$2b2o31b3o4bo$4b2obo2b2o25bo5bo$4b6ob2o22b2o$5bo29b2o2b2o4bo$5bobob
o25bo9bo$6b2ob2o25bo2bo3bo$7bo2bo26bo$8b2o28b2obo$9b2o29bo$8b3o12b3o$
9b2o11bo2b2o$2o7b2o$2o7b3o13bo$5bo16bo2bo$9bo12bo$9bobo10bobo$21bo3bo$
21bo2b2o$21b3o2bo$8b2o15bobo$8b2o15b2o$23bo$23bo2bo$24b3o29931$29937b
2o$29936b2o$29938bo17$29940b3o$29940bo$29941bo158$30511b2o96b3o$30612b
o$30509bo3bo94bo3bo$30509bo4bo83bo8bobo2bo$30511bobobo8bo73b3o4bo2bobo
$30512bobobo5b3o76bo3bo3bo$30513bo4bo2bo78b2o3bo$30514bo3bo2b2o83b3o$
30603bo$30515b2o2bo82bobo$30518bobo77b2o2b2o$30519b2o2b2o73b2o$30523b
2o5$30522b3o$30522bo$30523bo12$30565b2o$30558b2o5b2o$30558b2o3$30560b
2o27b2o34bobo$30560b2o27b2o35b2o$30554b2o70bo$30554b2o$30595b2o$30595b
2o$30591b2o$30591b2o4$30596b2o$30596b2o4$30562b2o$30561bobo$30563bo2$
30558b2o$30557b2o2bo$30556bo4bo$30556b4obo29bo$30557bo2b2o30bo$30558b
3o29b3o$30549b2o8bo$30549b2o4$30554b2o$30554b2o$30550b2o$30550b2o$
30591b2o$30591b2o$30460bo95b2o27b2o$30458b2o96b2o27b2o$30459b2o2$
30587b2o$30580b2o5b2o$30580b2o$30439b2o5b2o$30440bo5b2o$30440bobo$
30441b2o177b2o5b2o$30445b2o173b2o5bo$30444bobo178bobo$30445bo179b2o$
30441bo179b2o$30440b3o108bo69bobo$30439bob3o107bobo68bo$30438bo3bo108b
2o$30437bo3bo183b2o$30436b3obo184b2obo$30437b3o189bo$30438bo187bo$
30531b2o5b2o87bob2o$30532bo5b2o89b2o$30532bobo$30533b2o$30537b2o$
30536bobo150bobo$30537bo152b2o$30533bo156bo$30532bobo$30531bo3bo$
30530bo3bo$30529bo3bo$30528bo3bo$30529bobo$30530bo14$30582bo$30580b2o$
30581b2o12$30503bo$30501bobo$30502b2o13$30593bobo$30594b2o$30594bo10$
30753bobo$30754b2o$30754bo6$30776b2o$30776bo$30774bobo$30516b2o5b2o
249b2o$30517bo5b2o$30517bobo$30518b2o$30522b2o$30521bobo$30522bo$
30518bo2$30516b3obo$30515bob2o$30515b2obo$30513bob3o17bo$30533bobo$
30515bo18b2o222bo$30758b2o$30757bobo7$30654b2o$30654bo$30652bobo$
30567bo84b2o$30565bobo$30566b2o48$30599bo$30594bobo2bo$30593bo2b4o94bo
$30595b2o97b2o$30693bobo2$30597b2o$30597b2o7$30631bo$30629bobo$30630b
2o24$30674bo$30674b3o$30677bo$30676b2o2$30654b2o13b2o17b2o21bo$30654b
2o14bo17bo20b3o$30670bobo13bobo19bo$30671b2o13b2o20b2o5$30679bo$30678b
obo$30678bobo$30679bo9$30530b2o94b2o$30529bobo93bobo$30531bo95bo$
30697b2o$30697b2o14$30699b2o$30673b2o24bobo$30672bobo26bo$30672bo28b2o
$30671b2o8b2o$30681b2o4$30690b2o$30690bobo$30692bo$30692b2o34$30466b2o
94b2o$30465bobo93bobo$30446b2o19bo95bo$30439b2o5b2o$30439b2o3$30441b2o
27b2o$30441b2o27b2o$30435b2o$30435b2o$30476b2o$30476b2o$30472b2o$
30472b2o4$30477b2o$30435bo41b2o$30435b3o$30438bo$30437b2o7$30444b3o$
30444bo18b3o4b2o$30445bo16bo2bo4bo$30466bo4b3o$30430b2o30b2o9bo$30430b
2o30b2o3bo$30467bo$30465bo$30463b3o$30435b2o26b2o$30435b2o26bo$30431b
2o$30431b2o33b2o$30449b2o15bo2bo2b2o$30448bobo3b2ob3o7bobo2b2o85b2o$
30437b2o9bo5b2o2b2o7b3o$30437b2o8b2o10b2obo94bo3bo$30460b3o94bo4bo$
30461bo97bobobo8bo$30468b2o90bobobo5b3o$30461b2o5b2o91bo4bo2bo$30461b
2o31b2o66bo3bo2b2o$30487b2o5b2o$30487b2o74b2o2bo$30566bobo$30567b2o2b
2o$30489b2o27b2o51b2o11b3o$30489b2o27b2o64b3o$30483b2o99b3o$30483b2o
96b3o$30524b2o55b3o$30524b2o55b3o$30520b2o$30520b2o56bo$30577bobo$
30498b2o77b2o$30497bobo81b2o$30499bo25b2o31bo22bobo$30483bo41b2o29b2o
18b2o5bo$30483b3o71b2o17b2o5b2o$30486bo$30485b2o4$30484b2o$30484b2o2$
30485bo$30484b2o32b2o$30483b3o32bo$30482b2o35b3o$30478b2ob2o38bo$
30478b2o2b2o10b2obo$30489b3o2b2o2bo$30490b2o6bo$30491b2o4b2o26b2o5b2o$
30486b2o8bo29bo5b2o$30484b2obo5b2o31bobo$30479b2o3bo42b2o$30479b2o3b3o
44b2o$30497b2o21b2o8bobo$30496bobo21b2o9bo$30485b2o9bo17b2o11bo$30485b
2o8b2o17b2o10b3o$30525bob3o$30524bo3bo$30516b2o5bo3bo$30509b2o5b2o4b3o
bo$30509b2o12b3o$30524bo5$30511b2o2$30509bo3bo$30509bo4bo114bo$30511bo
bobo111b3o$30512bobobo10bo98bo$30513bo4bo8b2o97b2o$30514bo3bo7bobo2$
30515b2o2bo$30518bobo$30519b2o$30515b2o$30514bobo$30514bo5b2o$30513b2o
5b2o8$30607b2o$30607b2o2$30577bo$30575bobo$30576b2o25b2o$30604b2o$
30603bo11$30641b2o$30640b2o$30642bo2$30586b2o$30585bobo$30587bo4$
30607b2o5b2o$30607b2o5bo$30612bobo$30612b2o$30608b2o$30608bobo64b3o$
30609bo68bo$30613bo60bo3bo$30612bobo58bobo2bo$30611bo3bo28b3o24bo2bobo
$30612bo3bo27bo26bo3bo$30613bo3bo27bo25bo$30614bo3bo53b3o$30615bobo51b
o$30616bo51bobo$30668b2o$30672b2o$30672bobo$30582b2o83b2o5bo$30582bobo
82b2o5b2o$30582bo14$30626b2o$30619b2o5b2o$30619b2o$30558b2o5b2o$30559b
o5b2o$30559bobo7bobo49b2o27b2o$30560b2o7b2o50b2o27b2o$30539b2o23b2o4bo
44b2o$30540b2o21bobo49b2o$30539bo20bo3bo91b2o$30560b2o94b2o$30559b2obo
89b2o$30558bo2b3o88b2o$30557bobobo$30556bobobo$30554b3o2bo$30555bob2o
98b2o$30556b2o99b2o$30557bo2$30624b3o$30626bo$30625bo$30590b2o5b2o$
30522b2o66b2o5bo$30521bobo71bobo19b2o$30523bo71b2o19b2o2b2o$30591b2o
23bob4o$30591bobo22b3o$30499b2o91bo23b2o2b2o$30492b2o5b2o94b3o19b3o2bo
31bo$30492b2o100bo15b2o5b2o2b3o28bobo$30594bo3bo11b2o7bo2bo30b2o$
30594bo2bobo19b3o102bo$30494b2o27b2o71bobo2bo18bo103b2o$30494b2o27b2o
72bo3bo121b2obo$30488b2o111bo13b2o105bo2b3o$30488b2o108b3o14b2o104bobo
bo$30529b2o80b2o107bobobo$30529b2o80b2o95b3o7b3o2bo$30525b2o125b2o54bo
10bob2o$30506bo2b2o14b2o125b2o55bo10b2o$30505b2o2b3o105b2o27b2o69bo3bo
$30504b3o2b2o106b2o27b2o68bobo$30505b2o2b2o205b2o$30530b2o188b2o$
30488bo41b2o116b2o70bobo$30488b3o150b2o5b2o65b2o5bo$30491bo149b2o72b2o
5b2o$30490b2o3$30517bo$30494b3o19b3o$30494bo24bo$30495bo21b2o$30518bo$
30523b2o$30523bo87bo$30524b3o83bo$30483b2o41bo83b3o$30483b2o4$30488b2o
17bo$30488b2o15b2o$30484b2o20b2o$30484b2o$30502b2o21b2o158b2o$30501bob
o21b2o158b2o2b2o$30490b2o9bo17b2o168bobo$30490b2o8b2o17b2o169bo$30693b
3o$30687b2o3bo$30521b2o165bo3bo3bo$30514b2o5b2o162b3o4bo2bobo$30514b2o
83b2o84bo8bobo2bo$30595b2o2b2o94bo3bo$30594bobo102bo$30591b2o2bo100b3o
2$30590bo3bo2b2o$30589bo4bo2bo$30588bobobo5b3o$30587bobobo8bo$30585bo
4bo$30585bo3bo2$30587b2o!


Goldtiger's synthesis suffices for the reverse caber tosser, and the decoder should be simple enough to synthesise as well.

All three output lanes are south-east, so the construction arm assembly can be placed arbitrarily far from the existing assembly.

Here's what it looks like after 357888 generations:

Code: Select all
x = 489, y = 660, rule = LifeHistory
247.2B$148.2A96.3A$148.3B95.3BAB$146.A3BA94.A3BAB$146.A4BA83.A8.A.A2B
A$147.BABA.A8.A73.3A4.A2BA.A$149.A.ABAB4.3A76.A2.BA3BA$150.A4BA2.A78.
2A2.BA3B$151.A3BA2.2A77.4B2.3A$151.3B2.4B79.BAB.2B$152.2A.BAB80.BABA.
B$153.B.ABAB76.2A.B2A2B$154.2B2AB.2A73.2A7B$153.7B2A74.7B$154.7B75.7B
$154.7B76.6B$154.6B76.8B$153.8B74.4B2.4B$152.4B2.B3A72.4B4.4B$151.4B
4.A3B70.4B6.4B$150.4B6.A3B68.4B8.4B$149.4B8.4B66.4B10.4B$148.4B10.4B
64.4B12.4B$147.4B12.4B62.4B14.4B$146.4B14.4B60.4B16.4B$145.4B16.4B58.
4B18.4B$144.4B18.4B56.4B20.4B$143.4B20.4B54.4B22.4B$142.4B22.4B52.4B
24.4B$141.4B24.4B50.4B26.4B$140.4B26.4B48.4B28.4B$139.4B28.4B46.4B30.
4B$138.4B30.4B26.2A16.4B32.4B$137.4B32.4B18.2A3.2B2AB14.4B34.4B$136.
4B34.4B16.B2AB2.4B14.4B36.4B$135.4B36.4B16.2B3.6B.B9.4B38.4B$134.4B
38.4B16.2B2.10B6.4B40.4B$133.4B40.4B14.2B2A11B5.4B7.2A33.BABA$132.4B
42.4B10.B.3B2A12B3.4B7.B2AB33.B2AB$131.4B44.4B8.2A18B2.4B9.2B35.A3B$
130.4B46.4B7.2AB.15B2.4B11.2B3.B31.4B$129.4B48.4B7.B3.19B11.4B.B2A31.
4B$128.4B50.4B10.18B10.8B2A32.4B$127.4B52.4B10.19B2.2B2.6B2AB.B34.4B$
126.4B54.4B9.31B2A38.4B$125.4B56.4B9.7B.24B39.4B$124.4B58.4B8.6B2.28B
36.4B$123.4B60.4B6.7B.29B37.4B$122.4B62.4B5.6B.29B2A37.4B$121.4B64.4B
5.9B7.4B.14B2A38.4B$120.4B66.4B4.8B9.4B2.11B.B40.4B$119.4B68.4B2.8B
11.4B2.10B43.4B$118.4B70.4B.7B13.14B45.4B$117.4B72.6B2A2B15.14B45.4B$
116.4B74.4BABA2B15.13B47.4B$115.4B76.5BA2B15.13B48.4B$114.4B74.2B.8B
15.8B.2B51.4B$113.4B73.5B2A6B15.8B55.4B$112.4B74.4B2A2BA4B15.9B55.4B$
111.4B74.4BA4BA4B15.10B55.4B$110.4B76.3B4ABA5B13.7B.3BA55.4B$109.4B
76.5BA2B2A2.4B11.8B2.3BA55.4B$108.4B75.B.6B3A2B2.4B9.8B4.3AB55.4B$
107.4B75.2A8BA5B.4B7.9B5.4B55.4B$106.4B76.2A29B.6B5.4B55.4B$105.4B78.
29B.7B6.4B55.4B$104.4B79.28B2.6B8.4B55.4B$103.4B84.24B.7B9.4B55.4B$
102.4B85.2A31B9.4B55.4B$101.4B83.B.B2A6B2.2B2.19B10.4B55.4B$100.4B83.
2A8B10.18B10.4B55.4B$99.4B84.2AB.4B11.19B3.B7.4B55.4B$98.4B86.B3.2B
11.4B2.15B.B2A7.4B55.4B$97.4B92.2B9.4B2.18B2A8.4B55.4B$96.BA2B92.B2AB
7.4B3.12B2A3B.B10.4B55.4B$95.2A2B94.2A7.4B5.11B2A2B14.4B55.4B$94.2B2A
103.4B6.10B2.2B16.4B55.4B$93.4B103.4B9.B.6B3.2B16.4B55.4B$92.4B103.4B
14.4B2.B2AB16.4B55.4B$91.4B103.4B14.B2A2B3.2A18.4B55.4B$90.4B103.4B
16.2A26.4B55.4B$76.2A5.2A4.4B103.4B46.4B55.4B$77.A5.2A2B.4B103.4B48.
4B55.4B$77.A.AB3.7B103.4B50.4B55.4B$78.2AB.8B103.4B52.4B4.2A5.2A42.4B
$80.2B2A5B103.4B54.4B.2B2A5.A44.4B$80.BABA5B102.4B56.7B3.BA.A45.4B$
78.2B.BA7B100.4B58.8B.B2A47.4B$77.BAB3.8B98.4B60.5B2A2B50.4B$77.3A3B.
B3.4B96.A3B61.5BABAB51.4B$76.AB3AB7.4B94.BABA61.7BAB.2B50.4B$75.A.2BA
B9.4B92.2B2A61.8B3.3B50.4B$73.BA2B.A12.4B90.4B61.4B3.B.3B2AB51.4B$72.
B3ABA14.4B88.4B61.4B7.2B2ABA51.4B$72.2B3A16.4B86.4B61.4B9.4B.A51.4B$
74.BAB17.4B84.4B61.4B12.A.4B50.4B$74.2B19.4B69.2A5.2A4.4B61.4B14.AB2A
2B50.4B$96.4B69.A5.2A2B.4B61.4B16.B2A2B51.4B$97.4B68.A.AB3.7B61.4B17.
3B54.4B$98.4B68.2AB.8B61.4B19.2B55.4B$99.4B69.2B2A5B61.4B78.4B$100.4B
68.BABA5B60.4B80.BABA$101.4B65.2B.BA7B58.4B82.B2AB$102.4B63.BAB3.8B
56.4B84.A3B$103.4B62.ABA3B.B3.4B54.4B86.4B$104.4B60.A3BAB7.4B52.4B88.
4B$105.4B58.A.2BAB9.4B50.4B90.4B$106.4B55.BA2B.A12.4B48.4B92.4B$107.
4B53.BA3BA14.4B46.4B94.4B$108.4B52.2BABA16.4B44.4B96.4B$109.4B53.BAB
17.4B42.4B98.4B$110.4B52.2B19.4B40.4B100.4B$111.4B73.4B38.4B102.4B$
112.4B73.4B36.4B104.4B$113.4B73.4B34.4B106.4B$114.4B73.4B32.4B108.4B$
115.4B73.4B30.4B110.4B$116.4B73.4B28.4B112.4B$117.4B73.4B26.4B114.4B$
118.4B73.4B24.4B116.4B$119.4B73.4B22.4B118.4B$120.4B73.4B20.4B120.4B$
121.4B73.4B18.4B122.4B$122.4B73.4B16.4B124.4B$123.4B73.4B14.BA2B126.
4B$124.4B73.4B12.2A2B128.4B$125.4B73.4B10.2B2A130.4B$126.4B73.4B8.4B
132.4B$127.4B73.4B6.4B134.4B$128.4B73.4B4.4B136.4B$129.4B73.4B2.4B
138.4B$130.4B73.8B140.4B$131.4B73.6B142.4B$132.4B73.4B144.4B$133.4B
71.6B144.4B$134.4B69.8B144.4B$135.4B67.4B2.4B144.4B$136.4B65.4B4.4B
144.4B$137.3BA63.4B6.4B144.4B$138.ABAB61.4B8.4B144.4B$139.2A2B59.4B
10.4B144.4B$140.4B57.4B12.4B144.4B$141.4B55.4B14.4B144.4B$142.4B53.4B
16.4B144.4B$143.4B51.4B18.4B144.4B$144.4B49.4B20.4B144.4B$145.4B47.4B
22.4B144.4B$146.4B45.4B24.4B144.4B$147.4B43.4B26.4B144.4B$148.4B41.4B
28.4B144.4B$149.4B39.4B30.4B144.4B$150.4B37.4B32.4B144.4B$151.4B35.4B
34.4B144.4B$152.4B33.4B36.BABA144.4B$153.4B31.4B38.B2AB144.4B$154.4B
29.4B40.A3B144.4B$155.4B27.4B42.4B144.4B$156.4B25.4B44.4B144.4B$157.
4B23.4B46.4B144.4B$158.4B21.4B48.4B144.4B$159.4B19.4B50.4B144.4B$160.
4B17.4B52.4B144.4B$161.4B15.4B54.4B144.4B$162.4B13.4B56.4B144.4B$163.
4B11.4B58.4B144.4B$164.4B9.4B60.4B144.BABA$165.4B7.4B62.4B144.B2AB$
166.4B5.4B64.4B144.A3B$167.4B3.4B66.4B144.4B$168.4B.4B68.4B144.4B$
169.7B70.4B144.4B$170.5B72.4B144.4B$170.5B73.4B144.4B$169.7B73.4B144.
4B12.2A$168.4B.4B73.4B144.4B11.A$167.4B3.4B73.4B144.4B4.B2.BA.A$153.
2A5.2A4.4B5.4B73.4B144.4B2.3B.B2A$154.A5.2A2B.4B7.4B73.4B144.10B$154.
A.AB3.7B9.4B73.4B144.9B$155.2AB.8B11.4B73.4B144.8B$157.2B2A5B13.4B73.
4B144.6B$157.BABA5B14.4B73.4B143.5B$155.2B.BA7B14.4B73.4B141.7B$154.B
AB3.8B14.4B73.4B139.4B.4B$154.6B.B3.4B14.4B73.4B137.4B3.4B$153.3ABAB
7.4B14.4B73.4B135.4B5.4B$152.A.2A2B9.4B14.4B73.4B133.4B7.4B$150.2B2A.
A12.4B14.4B73.4B131.4B9.4B$149.BAB3A14.3BA14.4B73.4B129.4B11.4B$149.
5B16.ABAB14.4B73.4B127.4B13.4B$151.BAB17.2A2B14.4B73.4B125.A3B15.4B$
151.2B19.4B14.4B73.4B123.B2AB17.4B$173.4B14.4B73.4B121.BABA19.4B$174.
4B14.4B73.4B119.4B21.4B$175.4B14.4B73.4B117.4B23.4B$176.4B14.4B73.4B
115.4B25.4B$177.4B14.4B73.4B113.4B27.4B$178.4B14.4B73.4B111.4B29.4B$
179.4B14.4B73.4B109.4B31.4B$180.4B14.4B73.4B12.2A93.4B33.4B$181.4B14.
4B73.4B11.A93.4B35.4B$182.4B14.4B73.4B4.B2.BA.A92.4B37.4B$183.4B14.3B
A73.4B2.3B.B2A92.4B39.4B$184.4B14.ABAB73.10B93.4B41.4B$185.4B14.2A2B
73.9B92.4B43.4B$186.4B14.4B73.8B91.4B45.4B$187.4B14.4B73.6B91.4B47.4B
$188.4B14.4B72.5B91.4B49.4B$189.4B14.4B70.7B89.4B51.4B$190.4B14.4B68.
4B.4B87.4B53.4B$191.4B14.4B66.4B3.4B85.4B55.4B$192.4B14.4B64.4B5.4B
83.4B57.4B$193.4B14.4B62.4B7.4B81.4B59.4B$194.4B14.4B60.4B9.4B79.4B
61.4B$195.4B14.4B58.4B11.4B77.4B63.4B$196.4B14.4B56.4B13.4B75.4B65.4B
$197.4B14.4B54.4B15.4B73.4B67.4B$198.4B14.4B52.4B17.4B71.4B69.4B$199.
4B14.4B50.4B19.4B69.4B71.4B$200.4B14.4B48.4B21.4B67.4B73.4B$201.4B14.
4B46.4B23.4B65.4B75.4B$202.4B14.4B44.4B25.4B63.4B77.4B$203.4B14.4B42.
4B27.4B61.4B79.4B$204.4B14.4B40.4B29.4B59.4B81.4B$205.4B14.4B38.4B31.
4B57.4B83.4B$206.4B14.4B36.4B33.4B55.4B85.4B$207.4B14.4B34.4B35.4B53.
4B87.4B$208.4B14.4B32.4B37.4B51.4B89.4B$209.4B14.4B30.4B39.4B49.4B91.
4B$210.4B14.4B28.4B41.4B47.4B93.4B$211.4B14.4B26.4B43.4B45.4B95.4B$
212.4B14.4B24.4B45.4B43.4B97.4B$213.4B14.4B22.4B47.4B41.4B99.4B$214.
4B14.4B20.4B49.4B39.4B101.4B$215.4B14.4B18.4B51.4B37.4B103.4B$216.4B
14.4B16.4B53.4B35.4B105.4B$217.4B14.4B14.4B55.4B33.4B107.4B$218.4B14.
4B12.4B57.4B31.4B109.4B$219.4B14.4B10.4B59.4B29.4B111.4B$220.4B14.4B
8.4B61.4B27.4B113.4B$221.4B14.4B6.4B63.4B25.4B115.4B$222.4B14.4B4.4B
65.4B23.4B117.4B$223.4B14.4B2.4B67.4B21.4B119.4B$224.4B14.8B69.4B19.
4B121.4B$225.4B14.6B71.4B17.4B123.4B$226.4B14.4B73.4B15.4B125.4B$227.
4B12.6B73.4B13.4B127.4B$B227.4B10.8B73.4B11.4B129.4B$2B227.4B8.4B2.4B
73.4B9.4B131.4B$3B227.4B6.4B4.4B73.4B7.4B133.4B$4B227.4B4.4B6.4B73.4B
5.4B135.4B$.4B227.4B2.4B8.4B73.4B3.4B137.4B$2.4B227.3BA4B10.4B73.4B.
4B139.4B$3.4B224.ABA2BA3B12.4B73.7B141.4B$4.4B222.A2B4A2B14.4B73.BA3B
143.4B$5.4B220.3B2A6B14.4B72.B2A2B144.4B$B5.4B218.4B2.7B14.4B70.BABA
3B144.4B$2B5.4B216.4B2.3B2.4B14.4B68.4B.4B144.4B$3B5.4B214.4B3.B2AB2.
4B14.4B66.4B3.4B144.4B$4B5.4B212.4B5.2A4.4B14.4B64.4B5.4B144.4B$5B5.
4B210.4B13.4B14.4B62.4B7.4B144.4B$6B5.4B208.4B15.4B14.4B60.4B9.4B144.
4B$7B5.4B206.4B17.4B14.4B58.4B11.4B144.3B$8B5.4B204.4B19.4B14.4B56.4B
13.4B144.2B$9B5.4B202.4B21.4B14.4B54.4B15.4B144.B$10B5.4B200.4B23.4B
14.4B52.4B17.4B$.10B5.4B198.4B25.4B14.3BA50.4B19.4B$2.10B5.4B196.4B
27.4B14.ABAB48.4B21.4B$3.10B5.4B194.4B29.4B14.2A2B46.4B23.4B$4.10B5.
4B192.4B31.4B14.4B44.4B25.4B$5.10B5.4B190.4B33.4B14.4B42.4B27.4B$6.
10B5.4B188.4B35.4B14.4B40.4B29.4B$7.10B5.4B186.4B37.4B14.4B38.4B31.4B
$8.10B5.4B184.4B39.4B14.4B36.4B33.4B$9.10B5.4B182.4B41.4B14.4B34.4B
35.4B$10.10B5.4B180.4B43.4B14.4B32.4B37.4B$11.10B5.4B178.4B45.4B14.4B
30.4B39.4B$12.10B5.4B176.4B47.4B14.4B28.4B41.4B$13.10B5.4B174.4B49.4B
14.4B26.4B43.4B$14.10B5.4B172.4B51.4B14.4B24.4B45.4B$15.10B5.4B170.4B
53.4B14.4B22.4B47.4B$16.10B5.4B168.4B55.4B14.4B20.4B49.4B$17.10B5.4B
166.4B57.4B14.4B18.4B51.4B$18.10B5.4B164.4B59.4B14.4B16.4B53.4B$19.
10B5.4B162.4B61.4B14.4B14.4B55.4B$20.10B5.4B160.4B63.4B14.4B12.4B57.
4B$21.10B5.4B158.4B65.4B14.4B10.4B59.4B$22.10B5.4B156.4B67.4B14.4B8.
4B61.4B$23.10B5.4B154.4B69.4B14.4B6.4B63.4B$24.10B5.4B152.4B71.4B14.
4B4.4B65.4B$25.10B5.4B150.4B73.4B14.4B2.4B67.4B$26.10B5.4B148.4B75.4B
14.8B69.4B$27.10B5.4B146.4B77.4B11.9B14.A56.4B$28.10B5.4B144.4B79.4B
9.9B15.3A55.4B$29.10B5.4B142.4B81.4B7.11B17.A55.4B$30.10B5.4B140.4B
83.4B5.4B2.7B15.2A56.4B$31.10B5.4B138.4B85.4B3.4B2.3B2.4B14.5B54.4B$
32.10B5.4B136.4B87.4B.4B3.B2AB2.4B6.2A7.3B7.2A21.A24.4B$33.10B5.4B
134.4B89.7B5.2A4.4B6.A6.5B6.A20.3A25.4B$34.10B5.4B132.4B91.5B13.4B5.A
.AB3.5B3.BA.A19.A29.4B$35.10B5.4B130.4B92.5B14.4B5.2AB.9B.B2A20.2A29.
4B$36.10B5.4B128.4B92.7B14.4B6.13B20.4B30.4B$37.10B5.4B126.4B92.4B.4B
14.4B5.13B19.3B33.4B$38.10B5.4B124.4B92.4B3.4B14.4B4.13B.2B15.4B34.4B
$39.10B5.4B122.4B92.4B5.4B14.4B5.11B.3B13.4B36.4B$40.10B5.4B120.4B92.
4B7.4B14.4B6.2BA10B12.4B38.4B$41.10B5.4B118.4B92.4B9.4B14.4B5.BABA10B
10.4B40.4B$42.10B5.4B116.4B92.4B11.4B14.4B5.ABA10B9.4B42.4B$43.10B5.
4B114.4B92.4B13.4B14.4B4.BA11B8.4B44.4B$44.10B5.4B112.4B92.4B15.4B14.
4B4.13B6.4B46.4B$45.10B5.4B110.4B92.4B17.4B14.4B3.13B5.4B48.4B$46.10B
5.4B108.4B92.4B19.4B14.4B3.12B4.4B50.4B$47.10B5.4B106.4B92.4B21.4B14.
4B4.10B3.4B52.4B$48.10B5.4B104.4B92.4B23.4B14.4B.12B.5B54.4B$49.10B5.
4B102.4B92.4B25.4B14.21B56.4B$50.10B5.4B100.4B92.4B27.4B14.21B56.4B$
51.10B5.4B98.4B92.4B29.4B14.21B56.4B$52.10B5.4B96.2A2B92.2A2B31.4B14.
21B56.4B$53.10B5.4B94.ABAB92.ABAB33.4B14.20B57.4B$54.10B5.4B92.3BA92.
3BA35.4B14.18B59.4B$55.10B5.4B90.4B92.4B37.4B13.16B2A60.4B$56.10B5.4B
88.4B92.4B39.4B11.17B2A61.4B$57.10B5.4B86.4B92.4B41.4B9.19B63.4B$58.
10B5.4B84.4B92.4B43.4B7.19B65.4B$59.10B5.4B82.4B92.4B45.4B5.16B70.4B$
60.10B5.4B80.4B92.4B47.4B4.8BA6B72.4B$61.10B5.4B78.4B92.4B49.4B4.6BAB
A5B73.4B$62.10B5.4B76.4B92.4B51.4B3.7B2A6B73.4B$63.10B5.4B74.4B92.4B
53.4B.17B73.4B$64.10B5.4B72.4B92.4B55.22B73.4B$65.10B5.4B70.4B92.4B
57.22B73.4B$66.10B5.4B68.4B92.4B59.22B73.4B$67.10B5.4B66.4B92.4B60.
23B73.4B$68.10B5.4B64.4B92.4B61.24B73.4B$69.10B5.4B62.4B92.4B62.19B2.
3B74.4B$70.10B5.4B60.4B92.4B63.18B5.B2A73.4B$71.10B5.4B58.4B92.4B62.
2A17B6.BA.A73.4B$72.10B5.4B56.4B92.4B62.A.A18B8.A74.4B$73.10B5.4B54.
4B92.4B63.A4.17B7.2A74.4B$74.10B5.4B52.4B92.4B63.2A5.17B83.4B$75.10B
5.4B50.4B92.4B74.8B3.4B83.4B$76.10B5.4B48.4B92.4B79.4B4.4B83.4B$77.
10B5.4B46.4B92.4B89.4B83.4B$78.10B5.4B44.4B92.4B91.4B83.4B$79.10B5.4B
42.4B92.4B87.2A4.4B83.4B$80.10B5.4B40.4B92.4B88.A.A4.4B83.BABA$81.10B
5.4B38.4B92.4B91.A5.4B83.B2AB$82.10B5.4B36.4B92.4B92.2A5.4B83.A3B$83.
10B5.4B34.4B92.4B101.4B83.4B$84.10B5.4B32.4B92.4B103.4B83.4B$85.10B5.
4B30.4B92.4B105.4B83.4B$86.10B5.4B28.4B92.4B107.4B83.4B$87.10B5.4B26.
4B92.4B109.4B83.4B$88.10B5.4B24.4B92.4B111.4B83.4B$89.10B5.4B22.4B92.
4B113.4B83.4B$90.10B5.4B20.4B92.4B115.4B83.4B$91.10B5.4B18.4B92.4B
117.4B83.4B$92.10B5.4B16.4B92.4B119.4B83.4B$93.10B5.4B14.4B92.4B121.
4B83.4B$94.10B5.4B12.4B92.4B123.4B83.4B$95.10B5.4B10.4B92.4B125.4B83.
4B$96.10B5.4B8.4B92.4B127.4B83.4B$97.10B5.4B6.4B92.4B129.4B83.4B$98.
10B5.4B4.4B92.4B131.4B83.4B$99.10B5.4B2.4B92.4B133.4B83.4B$100.10B5.
8B92.4B135.4B83.4B$101.10B5.6B92.4B137.4B83.4B$102.10B5.4B92.4B139.4B
83.4B$103.10B3.6B90.4B141.4B83.4B$104.10B.8B88.4B143.4B83.4B$105.13B
2.4B86.4B145.4B83.4B$106.11B4.4B84.4B147.4B83.4B$107.10B5.4B82.4B149.
4B83.4B$108.10B5.4B80.4B151.4B83.4B$109.10B5.4B78.4B153.4B83.4B$109.
11B5.4B76.4B155.4B83.4B$108.13B5.4B74.4B157.4B83.4B$107.4B.10B5.4B72.
4B159.4B83.4B$106.4B3.10B5.4B70.4B161.4B83.4B$105.4B5.10B5.4B68.4B
163.4B83.4B$104.4B7.10B5.4B66.4B165.4B83.4B$103.2A2B9.10B5.4B64.2A2B
167.4B83.4B$102.ABAB11.10B5.4B62.ABAB169.4B83.4B$83.2A16.3BA13.10B5.
4B60.3BA171.4B83.4B$76.2A3.2B2AB14.4B15.10B5.4B58.4B173.4B83.4B$75.B
2AB2.4B14.4B17.10B5.4B56.4B175.4B83.4B$76.2B3.6B.B9.4B19.10B5.4B54.4B
177.4B83.4B$77.2B2.10B6.4B21.10B5.4B52.4B179.4B83.4B$76.2B2A11B5.4B7.
2A14.10B5.4B50.4B181.4B83.4B$73.B.3B2A12B3.4B7.B2AB14.10B5.4B48.4B
183.4B83.4B$72.2A18B2.4B9.2B16.10B5.4B46.4B185.4B83.4B$72.2AB.15B2.4B
11.2B3.B12.10B5.4B44.4B187.4B83.4B$73.B3.19B11.4B.B2A12.10B5.4B42.4B
189.4B83.4B$77.18B10.8B2A13.10B5.4B40.4B191.4B83.4B$78.19B2.2B2.6B2AB
.B15.10B5.4B38.4B193.4B83.4B$78.31B2A19.10B5.4B36.4B195.4B83.4B$79.7B
.24B20.10B5.4B34.4B197.4B83.4B$79.6B2.28B17.10B5.4B32.4B199.4B83.4B$
78.7B.29B18.10B5.4B30.4B201.4B83.4B$78.6B.29B2A18.10B5.4B28.4B203.4B
83.4B$72.A6.9B7.4B.14B2A19.10B5.4B26.4B205.4B83.4B$72.3A4.8B9.4B2.11B
.B21.10B5.4B24.4B207.4B83.4B$75.A2.8B11.4B2.10B24.10B5.4B22.4B209.4B
83.4B$74.2A2.7B13.14B26.10B5.4B20.4B211.4B83.4B$74.10B15.14B26.10B5.
4B18.4B213.4B83.4B$76.8B15.13B28.10B5.4B16.4B215.4B83.4B$76.8B15.13B
29.10B5.4B14.4B217.4B83.4B$73.2B.8B15.8B.2B32.10B5.4B12.4B219.2BAB83.
4B$71.13B15.8B36.10B5.4B10.4B221.2B2A83.4B$71.13B15.8B37.10B5.4B8.4B
223.2A2B83.4B$70.11B3A15.10B36.10B5.4B6.4B225.4B83.3B$71.10BA3B13.2B
3A2B2.2A37.10B5.4B4.4B227.4B83.2B$70.10B2.A3B11.2BA2BA2B2.A39.10B5.4B
2.4B229.4B83.B$68.B.11B2.4B9.7BA4.3A37.10B5.8B231.4B$67.2A14B.4B7.4B
2A3B6.A38.10B5.6B233.4B$67.2A29B.2A3BA45.10B5.4B235.4B$68.29B.6BA46.
10B3.6B235.4B$68.28B2.4BAB48.10B.8B235.4B$72.24B.3B3AB49.13B2.4B235.
4B$72.2A26B2A3B49.11B4.4B235.4B$69.B.B2A6B2.2B2.14BA4B50.10B5.4B235.
4B$68.2A8B10.18B50.10B5.4B235.4B$68.2AB.4B12.15B2AB3.B47.10B5.4B235.
4B$69.B3.2B11.2AB3.11BA2BA.B2A46.11B5.4B235.4B$74.2B9.A.AB2.2AB3A7BAB
A2B2A45.8B.4B5.4B18.2A215.4B$73.B2AB8.A5.2A2B2A7B3AB.B45.4B.4B2.4B5.
4B17.3B215.4B$74.2A8.2A6.4B2ABA7B47.4B3.4B2.4B5.4B14.A3BA216.4B$92.5B
3A2B2.2B47.4B5.4B2.4B5.4B13.A4BA216.4B$94.B.2BA3B3.2B45.4B7.4B2.4B5.
4B13.BABA.A8.A207.4B$98.4B2.B2AB43.4B9.4B2.4B5.4B14.A.ABAB4.3A208.4B$
97.B2A2B3.2A43.4B11.4B2.4B5.4B14.A4BA2.A212.4B$98.2A31.2A16.4B13.4B2.
4B5.4B14.A3BA2.2A212.4B$124.2A3.2B2AB14.4B15.4B2.4B5.4B13.3B2.4B213.
4B$123.B2AB2.4B14.4B17.4B2.4B5.4B13.2A.BAB216.4B$124.2B3.6B.B9.4B19.
4B2.4B5.4B13.B.ABAB15.2B199.4B$125.2B2.10B6.4B21.4B2.4B5.4B13.2B2AB.
2A11.3B200.4B$124.2B2A11B5.4B7.2A14.4B2.4B5.4B11.7B2A11.3A2B199.4B$
121.B.3B2A12B3.4B7.B2AB14.4B2.4B5.4B11.7B11.B3A2B200.4B$120.2A18B2.4B
9.2B16.4B2.4B5.4B10.7B10.B.3AB202.4B$120.2AB.15B2.4B11.2B3.B12.4B2.4B
5.4B9.6B9.B3A.B205.4B$121.B3.19B11.4B.B2A12.4B2.4B5.4B7.8B7.2B3AB207.
4B$125.18B10.8B2A13.4B2.4B5.4B5.4B2.4B3.B.3B3A209.4B$126.19B2.2B2.6B
2AB.B15.4B2.4B5.4B3.4B4.8B3.3B210.4B$126.31B2A19.4B2.4B5.4B.4B6.7BAB.
2B212.4B$127.7B.24B20.4B2.4B5.7B8.5BABAB215.4B$127.6B2.2A26B17.4B2.4B
5.5B9.5B2A2B216.4B$126.7B.ABA26B18.4B2.4B4.5B8.8B.B2A215.4B$126.6B.3B
A25B2A18.4B2.4B2.BA5B6.7B3.BA.A215.4B$120.A6.9B7.4B.14B2A19.4B2.4B2A
2B.4B4.4B.2B2A5.A216.4B$120.3A4.8B9.4B2.11B.B21.4B2.4B2A3.4B2.4B4.2A
5.2A216.4B$123.A2.8B11.4B2.10B24.4B2.4B5.8B231.4B$122.2A2.7B13.14B26.
10B5.6B233.4B$122.10B15.14B26.10B5.4B235.4B$124.8B15.13B28.4B2.4B3.6B
235.4B$124.8B15.13B27.6B2.3B2.8B235.4B$121.2A.8B15.8B.2B28.8B2.7B2.4B
235.4B$119.2B2A9B15.8B30.4B2.4B2.5B4.4B235.4B$119.13B15.8B29.4B4.4B.
4B6.4B235.4B$118.4BA9B15.10B26.4B6.7B8.4B235.4B$119.2B2A10B13.7B2.2A
25.4B8.5B10.4B235.4B$118.2B3A5B2.4B11.8B2.A25.4B9.5B11.4B235.4B$116.B
.B2A8B2.4B9.8B4.3A21.4B9.7B11.4B235.4B$115.2AB2A11B.4B7.9B6.A20.4B9.
4B.4B11.4B235.4B$115.2A2B2A10B2ABA11B.6B25.4B9.4B3.4B11.4B235.4B$116.
10B3A2B2A2BA9B.7B24.4B9.4B5.4B11.4B235.4B$116.11B2A6BA8B2.6B24.4B9.4B
7.4B11.4B235.4B$120.8B2A4B2A8B.7B10.2A5.2A4.4B9.4B9.4B11.4B235.4B$
120.3B2A8BA19B10.A5.2A2B.4B9.4B11.4B11.4B235.4B$117.B.2B2ABA3B2.2A2.
19B10.A.AB3.7B9.4B13.4B11.4B235.4B$116.2A3BA4B10.18B10.2AB.8B9.4B15.
4B11.4B235.4B$116.2AB.B3A12.18B3.B8.2B2A5B9.4B17.4B11.4B235.4B$117.B
3.2B11.2AB3.15B.B2A7.BABA5B8.4B19.4B11.4B235.4B$122.2B9.A.AB2.18B2A5.
2B.BA7B6.4B21.4B11.4B235.4B$121.B2AB8.A5.12B2A3B.B5.BAB3.8B4.4B23.4B
11.4B235.4B$122.2A8.2A6.11B2A2B8.3A3B.B3.4B2.4B25.4B11.4B235.4B$140.
10B2.2B8.AB3AB7.8B27.4B11.4B235.4B$142.B.6B3.2B6.A.2BAB9.6B29.4B11.4B
235.4B$146.4B2.B2AB3.BA2B.A12.4B31.4B11.4B235.4B$145.B2A2B3.2A3.B3ABA
12.6B31.4B11.4B235.4B$146.2A10.2B3A12.8B31.4B11.4B235.4B$160.BAB11.4B
2.4B31.4B11.4B235.4B$160.2B11.4B4.4B31.4B11.4B235.4B$172.4B6.4B31.4B
11.4B235.4B$171.4B8.4B31.4B11.4B235.4B$170.4B10.4B31.4B11.4B235.4B$
148.2A19.4B12.4B31.4B11.4B235.4B$148.3B17.4B14.4B31.4B11.4B235.4B$
146.A3BA16.4B16.4B31.4B11.4B235.4B$146.A4BA14.4B18.4B31.4B11.4B24.A
210.4B$147.BABA.A12.4B20.4B31.4B11.4B21.3A211.4B$149.A.ABAB9.A3B22.4B
31.4B11.4B19.A215.4B$150.A4BA7.B2AB24.4B31.4B11.4B18.2A215.4B$151.A3B
AB.B3.BABA26.4B31.4B11.4B15.4B216.4B$151.3B3.8B28.4B31.4B11.4B13.3B
219.4B$152.2A.BA7B30.4B31.4B11.4B11.4B220.4B$154.BABA5B32.4B31.4B11.
4B9.4B222.4B$154.2B2A5B33.4B31.4B11.4B7.4B224.4B$152.2AB.8B33.4B31.4B
11.4B5.4B226.3B$151.A.AB3.7B33.4B31.4B11.4B3.4B228.2B$151.A5.2A2B.4B
33.4B31.4B11.4B.4B230.B$150.2A5.2A4.4B33.4B31.4B10.8B$164.4B33.4B31.
4B10.6B$165.4B33.4B31.4B9.6B$166.4B33.4B31.4B7.8B$167.4B33.4B31.4B5.
5B.4B$168.4B33.4B31.4B3.5B3.4B$169.4B33.4B31.4B.5B5.4B$170.4B33.4B31.
8B7.4B$171.4B33.4B31.B2A3B9.4B$172.4B33.4B31.2A2B11.4B$173.4B33.4B28.
7B11.4B$174.4B33.3BA27.8B11.4B$175.4B33.ABAB25.4B2.4B11.4B$176.4B33.
2A2B23.2A2B4.4B11.4B$177.4B33.4B21.2B2A6.4B11.4B$178.4B33.4B19.2BAB8.
4B11.4B$179.4B33.4B17.4B10.4B11.4B$180.4B33.4B15.4B12.4B11.4B$181.4B
33.4B13.4B14.4B11.4B$182.4B33.4B11.4B16.4B11.4B$183.4B33.4B9.4B18.4B
11.4B$184.4B33.4B7.4B20.4B11.4B$185.4B33.4B5.4B22.4B11.4B$186.4B33.4B
3.4B24.4B11.4B$187.4B33.4B.4B26.4B11.4B$188.4B33.7B28.4B11.4B$189.4B
33.5B30.4B11.2B2A$190.4B32.5B31.4B11.2A2B$191.4B30.7B31.4B11.BA2B$
192.4B28.4B.4B31.4B11.4B$193.4B26.4B3.4B31.4B11.4B$194.4B24.4B5.4B31.
4B11.4B$195.4B22.4B7.4B31.4B11.4B$196.4B20.4B9.4B31.4B11.4B$197.4B18.
4B11.4B31.4B11.4B$198.4B16.4B13.4B31.4B11.4B$199.4B14.4B15.4B4.2A5.2A
18.4B11.4B$200.4B12.4B17.4B.2B2A5.A20.4B11.4B$201.4B10.4B19.7B3.BA.A
21.4B11.4B$202.4B8.4B21.8B.B2A23.4B11.4B$203.4B6.4B23.5B2A2B26.4B11.
4B19.2B$204.4B4.4B24.5BABAB27.4B11.4B17.3A$205.4B2.4B24.7BAB.2B26.4B
11.4B16.3BAB$206.8B24.8B3.BAB26.4B11.4B14.A3BAB$207.6B24.4B3.B.3BABA
27.4B11.4B12.A.A2BA$208.4B24.4B7.BA3BA27.B3A11.4B9.A2BA.A$207.6B22.4B
9.BA2B.A27.A3B11.4B7.BA3BA$206.8B20.4B12.A.2BAB26.A3B11.4B3.B.2BA3B$
205.4B2.4B18.4B14.A3BAB26.4B11.8B3.3A$204.4B4.4B16.4B16.ABA2B27.4B11.
7BAB.2B$203.4B6.4B14.4B17.BAB30.4B11.5BABAB$202.4B8.4B12.4B19.2B31.4B
10.5B2A2B$201.4B10.4B10.4B54.4B8.8B.B2A$200.4B12.4B8.4B56.4B6.7B3.BA.
A$199.4B14.2B2A6.4B58.4B4.4B.2B2A5.A$198.4B16.BABA4.4B60.4B2.4B4.2A5.
2A$197.4B18.A3B2.4B62.8B$196.4B20.8B64.6B$195.4B22.6B66.4B$194.4B24.
4B66.6B$193.4B24.6B64.8B$192.4B24.8B62.4B2.4B$191.4B24.4B2.4B60.4B4.
4B$190.4B24.4B4.4B58.4B6.4B$189.4B24.4B6.4B56.4B8.4B$188.4B24.4B8.4B
54.4B10.4B$187.4B24.4B10.4B52.4B12.4B$186.4B24.4B12.4B50.4B14.4B$185.
4B24.4B14.4B48.4B16.4B$184.4B24.4B16.4B46.4B18.4B$183.4B24.4B18.4B26.
2A16.4B20.4B$182.4B24.4B20.4B18.2A3.2B2AB14.4B22.4B$181.4B24.4B22.4B
16.B2AB2.4B14.4B24.4B$180.4B11.2A5.2A4.4B24.4B16.2B3.6B.B9.4B26.4B$
179.4B13.A5.2A2B.4B26.4B16.2B2.10B6.4B28.4B$178.4B14.A.AB3.3BABAB28.
4B14.2B2A11B5.4B7.2A21.4B$177.4B16.2AB.5B2AB30.4B10.B.3B2A12B3.4B7.B
2AB21.4B$176.2A2B19.2B2A4BA32.4B8.2A18B2.4B9.2B23.4B$175.2B2A20.BABA
5B33.4B7.2AB.15B2.4B11.2B3.B19.4B$174.2BAB19.AB.BA7B33.4B7.B3.19B11.
4B.B2A19.4B$173.4B19.B2A3.8B33.4B10.18B10.8B2A20.4B$172.4B20.2ABA2B.B
3.4B33.4B10.19B2.2B2.6B2AB.B22.4B$171.4B20.A2B3A7.4B33.4B9.31B2A26.4B
$169.5B20.A.ABAB9.4B33.4B9.7B.24B27.4B$169.6B17.BABA.A12.4B33.4B8.6B
2.28B24.4B$168.7B16.3A2BA14.4B33.4B6.7B.29B25.4B$167.9B15.BAB2A16.4B
33.4B5.6B.29B2A25.4B$166.4B.6B16.2AB17.4B33.4B5.9B7.4B.14B2A26.4B$
165.4B3.B.4B15.BA19.4B33.4B4.8B9.4B2.11B.B28.4B$164.4B7.4B36.4B33.4B
2.8B11.4B2.10B31.4B$163.4B9.4B36.4B33.4B.3B3AB13.14B33.4B$162.4B11.4B
36.4B33.9BA15.14B33.4B$161.4B13.4B36.4B33.7BAB15.13B35.4B$160.4B15.4B
36.4B4.2A5.2A20.8B15.13B36.4B$159.2A2B17.4B36.4B.2B2A5.A18.2B.8B15.8B
.2B39.4B$158.ABAB19.4B36.7B3.BA.A16.3B2A8B15.8B43.4B$157.3BA21.4B36.
8B.B2A17.2B2A2B2A5B15.9B43.4B$156.4B23.4B36.5B2A2B18.3BAB4A5B15.10B
43.4B$155.4B25.4B35.5BABAB19.2B3A9B13.7B.4B43.4B$136.2A16.4B27.4B33.
7BAB.2B16.3B2A2B2AB2.4B11.8B2.4B43.4B$129.2A3.2B2AB14.4B29.4B31.8B3.
3A13.B.4B3A2BAB2.4B9.8B4.3BA43.4B$128.B2AB2.4B14.4B31.4B29.4B3.B.2BA
3B12.2A5B2A2B3A2B.4B7.9B5.ABAB43.4B$129.2B3.6B.B9.4B33.4B27.4B7.BA3BA
11.2A7BA2BA18B.6B5.2A2B43.4B$130.2B2.10B6.4B35.4B25.4B9.A2BA.A11.8B3A
18B.7B6.4B43.4B19.AB$129.2B2A11B5.4B7.2A28.4B23.4B12.A.A2BA9.9BA18B2.
6B8.4B43.4B17.B2A$126.B.3B2A12B3.4B7.B2AB28.4B21.4B14.A3BAB12.24B.7B
9.4B43.4B16.2ABAB$125.2A18B2.4B9.2B30.4B19.4B16.3BAB12.2A31B9.4B43.4B
14.A2B3A$125.2AB.15B2.4B11.2B3.B26.4B17.4B17.3A11.B.B2A6B2.2B2.19B10.
4B43.4B12.A.ABAB$126.B3.19B11.4B.B2A26.4B15.4B19.2B10.2A8B10.18B10.4B
43.4B9.BABA.A$130.18B10.8B2A27.4B13.4B32.2AB.4B11.19B3.B7.4B43.B3A7.
3A2BA$131.19B2.2B2.6B2AB.B29.4B11.4B34.B3.2B11.4B2.15B.B2A7.4B43.A3B
3.B.2BAB2A$131.12BA2B2A14B2A33.4B9.4B40.2B9.4B2.18B2A8.4B43.A7B3.2AB$
132.7B.2B2A2B3A15B34.4B7.4B40.B2AB7.4B3.12B2A3B.B10.4B43.7BAB.BA$132.
6B2.B3A2B2A20B31.4B5.4B42.2A7.4B5.11B2A2B14.4B43.5BABAB$131.7B.3B2A2B
2A20B32.4B3.4B51.4B6.10B2.2B16.4B42.5B2A2B$131.6B.29B2A32.4B.4B51.4B
9.B.6B3.2B16.4B40.8B.B2A$125.A6.9B7.4B.14B2A33.7B51.4B14.4B2.B2AB16.
4B38.7B3.BA.A$125.3A4.8B9.4B2.11B.B35.5B51.4B14.B2A2B3.2A18.4B36.4B.
2B2A5.A$128.A2.8B11.4B2.10B38.5B49.4B16.2A26.4B34.4B4.2A5.2A$127.2A2.
7B13.14B40.4B48.4B46.4B32.4B$127.10B15.14B40.4B46.4B48.4B30.4B$129.8B
15.13B42.4B44.4B50.4B28.4B$129.8B15.2BA10B43.4B42.4B52.4B26.4B$126.2B
.2B3A3B15.B3A4B.2B46.4B40.4B54.4B24.4B$124.7BA5B15.4BA3B50.4B38.4B56.
4B22.4B$124.8BA4B15.2B2A4B51.4B36.4B58.4B20.4B$123.14B15.3BA6B50.4B
34.4B60.4B18.4B$124.14B13.7B2.2A51.4B32.4B62.4B16.4B$123.10B2.4B11.8B
2.A53.4B30.A3B64.4B14.4B$121.B.11B2.4B9.8B4.3A51.4B28.A3B66.4B12.4B$
120.2A14B.4B7.9B6.A52.4B26.B3A68.4B10.4B$120.2A29B.6B59.4B24.4B70.4B
8.4B$121.29B.7B60.4B22.4B72.4B6.4B$121.28B2.6B62.4B20.4B74.4B4.4B$
125.24B.7B63.4B18.4B76.4B2.4B$125.2A17BA13B63.4B16.4B78.8B$122.B.B2A
6B2.2B2.3B2A14B64.4B14.4B80.6B$121.2A8B10.2B2A14B64.4B12.4B80.7B$121.
2AB.4B12.18B3.B61.4B10.4B81.7B$122.B3.2B11.2AB3.15B.B2A61.4B8.4B81.2A
7B$127.2B9.A.AB2.18B2A62.4B6.4B82.2A.B2A2B$126.B2AB8.A5.12B2A3B.B64.
4B4.4B86.BABA.B$127.2A8.2A6.11B2A2B68.4B2.4B88.BAB.2B$145.10B2.2B70.
8B87.4B2.3A$147.B.6B3.2B70.6B88.2A2.BA3B$151.4B2.B2AB69.7B88.A2.BA3BA
$150.B2A2B3.2A70.7B85.3A4.A2BA.A$151.2A76.7B2A84.A8.A.A2BA$230.2B2AB.
2A94.A3BAB$229.B.ABAB98.3BAB$228.2A.BAB99.3A$227.3B2.4B98.2B$227.A3BA
2.2A$226.A4BA2.A$225.A.ABAB4.3A$223.BABA.A8.A$222.A4BA$222.A3BA$224.
3B$224.2A!
What do you do with ill crystallographers? Take them to the mono-clinic!
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calcyman
 
Posts: 1733
Joined: June 1st, 2009, 4:32 pm

Re: Building a reverse caber-tosser

Postby dvgrn » May 23rd, 2018, 6:05 pm

calcyman wrote:Here's a version of chris_c's decoder using only one 4-barrelled p256 gun, shown attached to the original reverse caber-tosser...

I tried adding in a minimal Cordership stopper, but then realized that two blocks is not good enough. After the Cordership is gone, the reverse caber tosser throws two more gliders toward Far, Far Away -- and if they're not stopped, they're actually going to get there eventually! Can't have the synthesis messed up like that.

Should be a simple matter of finding any random junk that can be placed in the path of the incoming Cordership, that

1) stops the Cordership without producing any gliders, and

2) happens to throw a couple of pieces of ash in the way of the two outgoing gliders.

It doesn't matter how complicated the Cordership-Stopping Junk is, or how much ash it leaves behind, as long as it doesn't let any gliders or spaceships escape. Construction of the Cordership-Stopping Junk, and construction of the meteor-shower seed for Stopped Cordership Ash, can both be done with a temporary elbow... so the value of N doesn't change, as long as the constellation is constructible and can be reached by temporarily bending the construction arm around some number of corners.

-- Did I get the labels for the output lanes right, or no?

x = 31107, y = 30814, rule = LifeHistory
25.2A$25.2A4$19.2A$18.A2.2A$18.2A.2A$19.3A11.2A$10.3A20.2A$9.5A$7.A5.
A$11.A$12.A$13.3A$7.A7.A$10.6A$13.A$9.A$4.A.2A$3.A.2A29.4A$2.2A.A29.
2A4.A$2.2A31.3A4.A$4.2A.A2.2A25.A5.A$4.6A.2A22.2A$5.A29.2A2.2A4.A$5.A
.A.A25.A9.A$6.2A.2A25.A2.A3.A$7.A2.A26.A$8.2A28.2A.A$9.2A29.A$8.3A12.
3A$9.2A11.A2.2A$2A7.2A$2A7.3A13.A$5.A16.A2.A$9.A12.A$9.A.A10.A.A$21.A
3.A$21.A2.2A$21.3A2.A$8.2A15.A.A$8.2A15.2A$23.A$23.A2.A$24.3A29931$
29937.2A$29936.2A$29938.A17$29940.3A$29940.A$29941.A158$30511.2A96.3A
$30612.A$30509.A3.A94.A3.A$30509.A4.A83.A8.A.A2.A$30511.A.A.A8.A73.3A
4.A2.A.A$30512.A.A.A5.3A76.A3.A3.A$30513.A4.A2.A78.2A3.A$30514.A3.A2.
2A83.3A$30603.A$30515.2A2.A82.A.A$30518.A.A77.2A2.2A$30519.2A2.2A73.
2A$30523.2A5$30522.3A$30522.A$30523.A12$30565.2A$30558.2A5.2A$30558.
2A3$30560.2A27.2A34.A.A$30560.2A27.2A35.2A$30554.2A70.A$30554.2A$
30595.2A$30595.2A$30591.2A$30591.2A4$30596.2A$30596.2A4$30562.2A$
30561.A.A$30563.A2$30558.2A$30557.2A2.A$30556.A4.A$30556.4A.A29.A$
30557.A2.2A30.A$30558.3A29.3A$30549.2A8.A$30549.2A4$30554.2A$30554.2A
$30550.2A$30550.2A$30591.2A$30591.2A$30460.A95.2A27.2A$30458.2A96.2A
27.2A$30459.2A2$30587.2A$30580.2A5.2A$30580.2A$30439.2A5.2A$30440.A5.
2A$30440.A.A$30441.2A177.2A5.2A$30445.2A173.2A5.A$30444.A.A178.A.A$
30445.A179.2A$30441.A179.2A$30440.3A108.A69.A.A$30439.A.3A107.A.A68.A
$30438.A3.A108.2A$30437.A3.A183.2A$30436.3A.A184.2A.A$30437.3A189.A$
30438.A187.A$30531.2A5.2A87.A.2A$30532.A5.2A89.2A$30532.A.A$30533.2A$
30537.2A$30536.A.A150.A.A$30537.A152.2A$30533.A156.A$30532.A.A$30531.
A3.A$30530.A3.A$30529.A3.A$30528.A3.A$30529.A.A$30530.A14$30582.A$
30580.2A$30581.2A12$30503.A$30501.A.A$30502.2A13$30593.A.A$30594.2A$
30594.A10$30753.A.A$30754.2A$30754.A6$30776.2A$30776.A$30774.A.A$
30516.2A5.2A249.2A$30517.A5.2A$30517.A.A$30518.2A$30522.2A$30521.A.A$
30522.A$30518.A2$30516.3A.A$30515.A.2A$30515.2A.A$30513.A.3A17.A$
30533.A.A$30515.A18.2A222.A$30758.2A$30757.A.A7$30654.2A$30654.A$
30652.A.A$30567.A84.2A$30565.A.A$30566.2A48$30599.A$30594.A.A2.A$
30593.A2.4A94.A$30595.2A97.2A$30693.A.A2$30597.2A$30597.2A7$30631.A$
30629.A.A$30630.2A24$30674.A$30674.3A$30677.A$30676.2A2$30654.2A13.2A
17.2A21.A$30654.2A14.A17.A20.3A$30670.A.A13.A.A19.A$30671.2A13.2A20.
2A5$30679.A$30678.A.A$30678.A.A$30679.A9$30530.2A94.2A$30529.A.A93.A.
A$30531.A95.A$30697.2A$30697.2A14$30699.2A$30673.2A24.A.A$30672.A.A
26.A$30503.2A167.A28.2A$30503.2A166.2A8.2A$30681.2A4$30690.2A$30690.A
.A$30692.A$30692.2A4$30490.2A$30490.2A10$31018.3D$31016.7D$31015.9D$
31015.9D$31014.11D$31013.13D$31011.17D$31010.19D$31010.19D$31009.21D$
31008.23D$31006.25D$31005.27D$31005.27D$31004.15D2.12D$31001.17D4.11D
$31000.17D6.10D$30999.17D7.11D$30999.16D8.11D$30466.2A94.2A326.4D104.
16D9.11D$30465.A.A93.A.A325.6D101.19D6.13D$30446.2A19.A95.A324.9D98.
21D4.14D5.4D$30439.2A5.2A440.9D97.40D4.6D$30439.2A446.11D96.39D5.6D$
30885.14D94.40D3.9D$30884.16D93.39D3.10D$30441.2A27.2A411.19D90.40D2.
12D$30441.2A27.2A411.19D89.15D2.23D2.13D$30435.2A445.21D88.14D4.21D3.
13D$30435.2A443.24D87.13D5.20D2.15D$30476.2A266.4B83.4B44.25D75.4B8.
12D8.17D2.15D$30476.2A267.4B83.4B42.27D75.4B8.9D11.14D3.15D$30472.2A
272.4B83.4B41.27D76.4B7.8D15.8D5.15D$30472.2A273.4B83.4B39.15D2.12D
76.4B8.5D28.15D$30748.4B83.4B35.16D5.11D77.4B8.3D28.15D$30749.4B83.4B
33.16D7.10D78.4B37.15D$30750.4B83.4B31.16D8.10D79.4B35.15D$30477.2A
261.4D7.4B83.4B30.16D8.11D79.4B33.15D17.4D$30435.A41.2A260.6D7.4B83.
4B27.17D9.11D80.4B31.15D18.4D$30435.3A300.8D7.4B83.4B25.19D6.13D81.4B
29.15D18.6D$30438.A297.11D7.4B83.4B23.21D4.13D6.3D74.4B27.15D18.8D$
30437.2A296.13D7.4B83.4B21.39D4.6D74.4B25.15D17.10D$30734.15D7.4B83.
4B20.39D4.7D74.4B24.14D17.11D$30734.16D7.4B83.4B17.40D4.9D74.4B22.14D
18.12D$30733.18D7.4B83.4B16.40D3.10D75.4B21.13D18.13D$30731.21D7.4B
83.4B14.40D3.12D75.4B19.13D18.13D$30730.23D7.4B83.4B13.14D3.23D.14D
76.4B18.12D17.15D$30729.25D7.4B83.4B12.14D4.21D2.14D77.4B16.12D17.16D
$30444.3A282.26D7.4B83.4B10.14D5.20D2.15D78.4B15.11D18.15D$30444.A18.
3A4.2A256.28D7.4B83.4B10.11D8.18D2.15D80.4B14.11D17.15D$30445.A16.A2.
A4.A255.15D2.14D7.4B83.4B9.10D11.14D3.15D82.4B13.10D17.15D3.9D$30466.
A4.3A251.15D4.13D8.4B83.4B9.8D14.9D3.17D84.4B12.10D15.16D2.14D$30430.
2A30.2A9.A250.15D6.12D9.4B83.4B9.6D27.16D86.4B11.10D14.16D2.16D$
30430.2A30.2A3.A255.15D8.11D10.4B83.4B10.3D27.16D88.4B10.11D13.15D3.
16D$30467.A254.15D10.10D11.4B83.4B38.16D90.4B9.12D11.15D2.19D$30465.A
255.17D10.9D12.4B83.4B35.17D92.4B9.12D9.15D2.21D$30463.3A254.19D10.7D
4.2D8.4B83.4B33.17D17.2D75.4B8.14D4.17D3.23D$30435.2A26.2A254.21D11.
3D4.6D7.4B83.4B32.16D18.2D76.4B8.33D3.24D$30435.2A26.A254.23D16.8D7.
4B83.4B31.15D18.6D74.4B7.32D4.24D$30431.2A284.25D14.10D7.4B83.4B29.
15D17.8D75.4B7.30D5.25D$30431.2A33.2A248.27D12.11D8.4B83.4B27.15D17.
10D75.4B6.29D5.26D$30449.2A15.A2.A2.2A241.29D10.12D9.4B83.4B26.14D17.
11D76.4B6.27D6.12D2.13D$30448.A.A3.2A.3A7.A.A2.2A85.2A153.15D2.14D8.
14D9.4B83.4B24.14D18.12D76.4B6.25D7.11D5.11D$30437.2A9.A5.2A2.2A7.3A
244.14D5.12D7.15D10.4B83.4B22.14D18.13D77.4B6.23D8.11D5.11D$30437.2A
8.2A10.2A.A94.A3.A151.14D7.11D6.15D12.4B83.4B21.13D17.14D79.4B6.21D9.
11D6.10D$30460.3A94.A4.A150.13D8.11D5.15D14.4B83.4B19.13D17.15D80.4B
6.18D11.11D6.10D$30461.A97.A.A.A8.A141.11D10.9D5.15D16.4B83.4B18.12D
17.16D4.2D75.4B7.14D13.12D6.9D$30468.2A90.A.A.A5.3A141.9D13.7D5.15D7.
4D7.4B83.4B17.11D18.15D5.2D76.4B10.7D4.4D8.12D6.8D5.4D$30461.2A5.2A
91.A4.A2.A144.8D16.4D5.15D7.6D7.4B83.4B15.12D17.15D5.6D74.4B20.4D9.
11D7.7D5.4D$30461.2A31.2A66.A3.A2.2A145.5D25.15D7.8D7.4B83.4B14.11D
16.16D4.8D75.4B18.6D8.11D7.5D6.6D$30487.2A5.2A221.3D25.15D6.11D7.4B
83.4B13.11D15.15D5.10D75.4B16.7D8.12D15.9D$30487.2A74.2A2.A176.15D6.
13D7.4B83.4B12.11D14.15D5.11D76.4B14.8D9.11D14.11D$30566.A.A174.15D6.
15D7.4B83.4B11.12D13.15D5.12D76.4B13.9D8.11D13.12D$30567.2A2.2A169.
15D7.16D7.4B83.4B11.11D12.15D5.13D77.4B12.10D7.12D12.12D$30489.2A27.
2A51.2A11.3A154.15D7.18D7.4B83.4B10.13D7.16D5.15D78.4B11.10D8.11D11.
13D$30489.2A27.2A64.3A153.15D6.21D7.4B83.4B10.13D4.17D5.16D79.4B10.
11D7.11D9.15D$30483.2A99.3A152.15D6.22D8.4B83.4B9.33D5.16D81.4B9.12D
6.11D8.16D$30483.2A96.3A154.15D6.24D8.4B83.4B9.32D5.15D83.4B8.13D5.
11D7.16D$30524.2A55.3A153.15D7.25D8.4B83.4B8.31D5.15D85.4B8.12D4.12D
7.15D$30524.2A55.3A152.15D7.27D8.4B83.4B8.28D5.16D87.4B7.28D6.15D$
30520.2A213.15D6.16D.12D9.4B83.4B8.26D5.16D89.4B6.28D4.16D$30520.2A
56.A155.15D6.16D3.12D9.4B83.4B8.24D5.16D91.4B6.27D3.16D$30577.A.A153.
15D6.15D6.11D10.4B83.4B7.24D5.15D93.4B6.25D3.16D$30498.2A77.2A154.14D
7.14D7.11D11.4B83.4B8.20D6.15D95.4B6.23D4.15D$30497.A.A81.2A149.14D7.
14D8.11D12.4B83.4B8.18D5.16D97.4B6.22D3.15D16.5D$30499.A25.2A31.A22.A
.A149.12D6.17D7.11D13.4B83.4B9.14D6.16D19.5D75.4B5.21D2.17D15.7D$
30483.A41.2A29.2A18.2A5.A149.11D6.20D5.11D14.4B83.4B11.8D8.16D19.7D
75.4B6.18D2.19D12.10D$30483.3A71.2A17.2A5.2A148.10D6.23D.13D15.4B83.
4B26.15D20.7D76.4B7.14D3.21D10.11D$30486.A247.8D7.37D16.4B83.4B24.15D
20.10D75.4B7.12D4.21D10.11D$30485.2A248.6D7.38D17.4B83.4B21.16D19.12D
76.4B8.8D5.23D8.13D$30737.2D7.39D8.2D9.4B83.4B19.16D19.14D76.4B18.27D
5.13D$30745.40D6.6D8.4B83.4B17.16D19.15D77.4B16.29D2.15D$30744.15D2.
23D6.8D8.4B83.4B16.15D20.15D78.4B14.47D$30484.2A258.14D4.21D6.10D8.4B
83.4B14.15D20.15D80.4B13.15D3.28D$30484.2A257.14D5.20D6.12D8.4B83.4B
13.14D19.16D82.4B11.15D4.27D$30743.13D6.19D6.14D8.4B83.4B11.14D19.16D
84.4B10.14D6.25D$30485.A258.11D6.19D6.16D8.4B83.4B10.13D19.16D86.4B9.
13D8.23D$30484.2A32.2A224.10D7.15D9.18D8.4B83.4B9.13D19.15D88.4B8.12D
10.21D$30483.3A32.A225.9D8.11D12.20D8.4B83.4B9.13D17.15D90.4B7.11D12.
19D$30482.2A35.3A223.7D8.12D11.22D8.4B83.4B8.15D13.16D92.4B6.10D14.
17D$30478.2A.2A38.A224.5D9.11D11.24D8.4B83.4B8.15D11.16D94.4B6.8D16.
15D$30478.2A2.2A10.2A.A262.11D10.26D8.4B83.4B8.15D9.16D96.4B6.6D15.
16D$30489.3A2.2A2.A260.12D9.28D8.4B83.4B8.14D9.15D98.4B25.16D$30490.
2A6.A260.11D9.15D.14D8.4B83.4B8.14D7.15D100.4B24.15D$30491.2A4.2A26.
2A5.2A224.12D8.14D4.14D8.4B83.4B8.14D4.16D102.4B22.15D$30486.2A8.A29.
A5.2A224.12D7.15D5.13D9.4B83.4B8.13D3.16D104.4B20.15D$30484.2A.A5.2A
31.A.A228.12D7.15D7.13D9.4B83.4B8.12D2.16D106.4B17.16D$30479.2A3.A42.
2A228.11D7.16D8.12D10.4B83.4B8.11D2.15D108.4B15.16D$30479.2A3.3A44.2A
224.11D6.18D8.10D12.4B83.4B8.10D.15D110.4B14.15D$30497.2A21.2A8.A.A
224.10D6.19D9.9D13.4B83.4B8.24D112.4B12.15D$30496.A.A21.2A9.A225.10D
5.21D9.7D15.4B83.4B8.22D114.4B10.15D$30485.2A9.A17.2A11.A229.10D4.24D
9.4D17.4B83.4B9.2D2.15D116.4B9.14D$30485.2A8.2A17.2A10.3A229.8D4.26D
30.4B83.4B12.14D118.4B8.13D$30525.A.3A229.7D3.27D31.4B83.4B10.14D120.
4B7.12D$30524.A3.A231.4D4.14D3.12D31.4B83.4B9.14D121.4B6.11D$30516.2A
5.A3.A239.15D3.13D31.4B83.4B9.14D121.4B6.9D$30509.2A5.2A4.3A.A239.15D
5.12D32.4B83.4B8.15D121.4B5.8D$30509.2A12.3A240.14D7.11D33.4B83.4B8.
14D122.4B7.2D$30524.A241.12D10.9D35.4B83.4B8.14D122.4B$30766.12D11.8D
36.4B83.4B8.15D121.4B$30766.13D11.6D38.4B83.4B8.15D121.4B$30767.14D
11.2D41.4B83.4B8.14D122.4B$30768.13D55.4B83.4B8.13D123.4B$30511.2A
256.13D55.4B83.4B8.13D123.4B$30770.13D55.4B83.4B8.12D124.4B$30509.A3.
A257.13D55.4B83.4B8.11D125.4B$30509.A4.A114.A142.14D54.4B83.4B8.10D
126.3B$30511.A.A.A111.3A143.13D55.4B83.4B8.8D128.2B$30512.A.A.A10.A
98.A147.13D55.4B83.4B8.6D130.B$30513.A4.A8.2A97.2A147.12D56.4B83.4B8.
4D$30514.A3.A7.A.A247.11D57.4B83.4B$30777.10D58.4B83.4B$30515.2A2.A
258.8D60.4B83.4B$30518.A.A258.7D61.4B83.4B$30519.2A259.4D64.4B83.4B$
30515.2A332.4B83.4B$30514.A.A333.4B83.4B$30514.A5.2A329.4B83.4B$
30513.2A5.2A330.4B83.4B$30853.4B83.4B$30854.4B83.4B$30855.4B83.3B$
30856.4B83.2B$30857.4B83.B$30858.4B$30859.4B$30607.2A251.4B$30607.2A
252.4B$30862.4B$30577.A285.4B$30575.A.A286.3B$30576.2A25.2A260.2B$
30604.2A260.B$30603.A11$30641.2A$30640.2A$30642.A2$30586.2A$30585.A.A
$30587.A4$30607.2A5.2A$30607.2A5.A$30612.A.A$30612.2A$30608.2A$30608.
A.A64.3A$30609.A68.A$30613.A60.A3.A$30612.A.A58.A.A2.A$30611.A3.A28.
3A24.A2.A.A$30612.A3.A27.A26.A3.A$30613.A3.A27.A25.A$30614.A3.A53.3A$
30615.A.A51.A$30616.A51.A.A$30668.2A$30672.2A$30672.A.A$30582.2A83.2A
5.A$30582.A.A82.2A5.2A$30582.A14$30626.2A$30619.2A5.2A$30619.2A$
30558.2A5.2A$30559.A5.2A$30559.A.A7.A.A49.2A27.2A$30560.2A7.2A50.2A
27.2A$30539.2A23.2A4.A44.2A$30540.2A21.A.A49.2A$30539.A20.A3.A91.2A$
30560.2A94.2A$30559.2A.A89.2A$30558.A2.3A88.2A$30557.A.A.A$30556.A.A.
A$30554.3A2.A$30555.A.2A98.2A$30556.2A99.2A$30557.A2$30624.3A$30626.A
$30625.A$30590.2A5.2A$30522.2A66.2A5.A$30521.A.A71.A.A19.2A$30523.A
71.2A19.2A2.2A$30591.2A23.A.4A$30591.A.A22.3A$30499.2A91.A23.2A2.2A$
30492.2A5.2A94.3A19.3A2.A31.A$30492.2A100.A15.2A5.2A2.3A28.A.A$30594.
A3.A11.2A7.A2.A30.2A$30594.A2.A.A19.3A102.A$30494.2A27.2A71.A.A2.A18.
A103.2A$30494.2A27.2A72.A3.A121.2A.A$30488.2A111.A13.2A105.A2.3A$
30488.2A108.3A14.2A104.A.A.A$30529.2A80.2A107.A.A.A$30529.2A80.2A95.
3A7.3A2.A$30525.2A125.2A54.A10.A.2A$30506.A2.2A14.2A125.2A55.A10.2A$
30505.2A2.3A105.2A27.2A69.A3.A$30504.3A2.2A106.2A27.2A68.A.A$30505.2A
2.2A205.2A$30530.2A188.2A$30488.A41.2A116.2A70.A.A$30488.3A150.2A5.2A
65.2A5.A$30491.A149.2A72.2A5.2A$30490.2A3$30517.A$30494.3A19.3A$
30494.A24.A$30495.A21.2A$30518.A$30523.2A$30523.A87.A$30524.3A83.A$
30483.2A41.A83.3A$30483.2A4$30488.2A17.A$30488.2A15.2A$30484.2A20.2A$
30484.2A$30502.2A21.2A158.2A$30501.A.A21.2A158.2A2.2A$30490.2A9.A17.
2A168.A.A$30490.2A8.2A17.2A169.A$30693.3A$30687.2A3.A$30521.2A165.A3.
A3.A$30514.2A5.2A162.3A4.A2.A.A$30514.2A83.2A84.A8.A.A2.A$30595.2A2.
2A94.A3.A$30594.A.A102.A$30591.2A2.A100.3A2$30590.A3.A2.2A$30589.A4.A
2.A$30588.A.A.A5.3A$30587.A.A.A8.A$30585.A4.A$30585.A3.A2$30587.2A!
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Re: Building a reverse caber-tosser

Postby calcyman » May 24th, 2018, 2:07 am

dvgrn wrote:It doesn't matter how complicated the Cordership-Stopping Junk is, or how much ash it leaves behind, as long as it doesn't let any gliders or spaceships escape. Construction of the Cordership-Stopping Junk, and construction of the meteor-shower seed for Stopped Cordership Ash, can both be done with a temporary elbow... so the value of N doesn't change, as long as the constellation is constructible and can be reached by temporarily bending the construction arm around some number of corners.


Similarly, the seeds of destruction to make the entire assembly cleanly disappear can also be constructed by the recipe (because, after all, we're trying to show that any glider-constructible pattern can be cleanly synthesised in N gliders). So those seeds don't contribute to the value of N, either.

I guess this means that the only remaining component is a shotgun operated by the PUSH/PULL/FIRE gliders.

-- Did I get the labels for the output lanes right, or no?


Yes, the FIRE is correct, and you can freely interchange the PUSH and PULL gliders without affecting universality (it can either fire in the peaks or in the troughs).

The math seems to come out to each new bit arriving from the Cordership in half the time required to produce the previous bit. So it looks like an M-bit recipe will take something like k * 2^M ticks to build. What's the exact multiplier k? Seems to be less than 2850, and I should just think about it until it's obvious.


It's almost irrelevant, since M is so large. What is wonderful, however, is that the existing assembly can 'self-improve' by building an arbitrary decoder-plus-construction-arm to interpret the PUSH/PULL gliders (and ignore the FIRE gliders) and destroying the original decoder-plus-construction-arm. The improved decoder can be arbitrarily complex (and not affect N), and (say) interpret the stream of binary information as a program in binary lambda calculus. As such, you get the result that:

construction time < 2^(constant + KC(recipe))

where KC denotes Kolmogorov complexity. The constant subsumes the cost of constructing the improved decoder and the seeds of destruction for everything.
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Re: Building a reverse caber-tosser

Postby Macbi » May 24th, 2018, 2:56 am

calcyman wrote:As such, you get the result that:

construction time < 2^(constant + KC(recipe))

where KC denotes Kolmogorov complexity. The constant subsumes the cost of constructing the improved decoder and the seeds of destruction for everything.
You can just write KC(pattern) rather than KC(recipe), since these are only separated by a constant. There's a Turing machine that takes as input a description of a pattern, and searches through all recipes until it finds a recipe for that pattern.

EDIT: Although actually I don't quite see how "construction time < 2^(constant + KC(recipe))" works. Don't you have to allow some time for the program describing the recipe to actually run? And for the recipe to actually be carried out?

EDIT2: In fact "Graham's number of blocks in a row" clearly can't be constructed in time 2^(constant + KC(recipe)), for speed-of-light reasons, since Graham's number is much larger than 2^KC(Graham's number).
Last edited by Macbi on May 31st, 2018, 9:50 am, edited 1 time in total.
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Re: Building a reverse caber-tosser

Postby calcyman » May 24th, 2018, 4:30 am

Oops, mea culpa; just replace 'construction time' with 'distance of glider from origin'. I hadn't accounted for the running time of the program.
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Re: Building a reverse caber-tosser

Postby dvgrn » May 24th, 2018, 1:22 pm

I followed the link to my previous post about construction-arm options, and my sample patterns could have stood to be labeled a little better:

Code: Select all
x = 107, y = 50, rule = LifeHistory
5D2.D4.D.D6.D18.5D2.D4.D2.4D2.D4.D13.6D.5D.5D2.6D$D4.D.D4.D.D6.D18.D
4.D.D4.D.D4.D.D4.D13.D8.D3.D4.D.D$D4.D.D4.D.D6.D18.D4.D.D4.D.D6.D4.D
13.D8.D3.D4.D.D$D4.D.D4.D.D6.D18.D4.D.D4.D.D6.D4.D13.D8.D3.D4.D.D$D4.
D.D4.D.D6.D18.D4.D.D4.D.D6.D4.D13.D8.D3.D4.D.D$5D2.D4.D.D6.D18.5D2.D
4.D2.4D2.6D13.6D3.D3.5D2.6D$D6.D4.D.D6.D18.D6.D4.D6.D.D4.D13.D8.D3.D.
D4.D$D6.D4.D.D6.D18.D6.D4.D6.D.D4.D13.D8.D3.D2.D3.D$D6.D4.D.D6.D18.D
6.D4.D.D4.D.D4.D13.D8.D3.D3.D2.D$D7.4D2.6D.6D13.D7.4D3.4D2.D4.D13.D6.
5D.D4.D.6D11$21.2A38.2A38.2A$11.D8.A.A2.2C24.D8.A.A2.2C24.E8.A.A2.2C$
11.2D9.A2.2C24.2D9.A2.2C24.2E9.A2.2C$10.D.D37.D.D37.E.E3$15.D39.C39.D
$15.2D3.A34.2C3.A34.2D3.A$14.D.D3.2A32.C.C3.2A32.D.D3.2A$3D16.A.A18.
3D16.A.A18.3E16.A.A$2.D39.D39.E$.D39.D39.E6$23.D$8.D14.D$8.D.D12.D$8.
3D12.D$10.D12.D$10.D$.3D$.D11.3D$.2D12.D3.3D$3.D10.2D5.D$.2D12.D5.D$
13.3D4.D$19.3D!
#C [[ THUMBNAIL THUMBSIZE 2 WIDTH 640 HEIGHT 320 ]]

I thought at first that the green gliders (#1 and #2, PULL) would have to be inserted in front of the white one (#3, PUSH) using RNE-19T84 for the one 37 ticks ahead on the same lane. But then the extra glider output would need active suppression with another signal, which starts looking complicated.

Then it turned out that everything can be done with NW31 (or equivalent) after all. Yellow gliders #4 and #5 look trivial to add on the north side of the pattern below, also with NW31 inserters, so they're not shown here:

x = 221, y = 282, rule = LifeHistory
32.5D2.D4.D2.4D2.D4.D$32.D4.D.D4.D.D4.D.D4.D$32.D4.D.D4.D.D6.D4.D$32.
D4.D.D4.D.D6.D4.D$32.D4.D.D4.D.D6.D4.D$32.5D2.D4.D2.4D2.6D$32.D6.D4.D
6.D.D4.D$32.D6.D4.D6.D.D4.D$32.D6.D4.D.D4.D.D4.D$24.C.C5.D7.4D3.4D2.D
4.D$25.2C$25.C41$77.C$77.3C$80.C$79.C.C$79.C.C$80.C5$95.2C$95.2C4$75.
2C$74.C.C$74.C$73.2C7.2C$82.2C2$90.2C.C$90.2C.3C$32.A63.C$30.A.A57.2C
.3C$31.2A58.C.C$5D2.D4.D.D6.D69.C.C$D4.D.D4.D.D6.D70.C$D4.D.D4.D.D6.D
$D4.D.D4.D.D6.D58.3D10.C$D4.D.D4.D.D6.D25.A34.D8.3C$5D2.D4.D.D6.D25.
3A31.3D6.C$D6.D4.D.D6.D28.A39.2C$D6.D4.D.D6.D27.A.A30.2C$D6.D4.D.D6.D
27.A.A30.2C$D7.4D2.6D.6D23.A5$65.2A76.2C$65.2A76.2C5.2C$150.2C$117.C$
100.2C13.3C$45.2A53.2C12.C14.2C17.2C$44.A.A67.2C14.C17.2C$44.A85.C.C
21.2C$43.2A7.2A77.2C21.2C$52.2A13.2A$67.2A$60.2A.A$60.2A.3A47.D3.2C
15.D$66.A46.2D2.2C15.D.D$60.2A.3A10.2A36.2D18.3D$61.A.A13.A36.D21.D$
61.A.A10.3A36.D$62.A11.A2$50.3D10.A$52.D8.3A63.2C29.C20.2D$51.3D6.A
47.2C18.C27.3C19.D.D$60.2A46.C.C14.3C18.3D6.C24.D$52.2A31.2A23.C14.C
20.D8.2C$52.2A30.A.A23.2C33.3D$84.A$83.2A88.D$173.2D3.D$172.D.D3.2D$
177.D.D$113.2A$113.2A5.2A$120.2A$87.A47.2C$70.2A13.3A47.2C$70.2A12.A
14.2A17.2A$84.2A14.A17.2A$100.A.A21.2A$101.2A21.2A$37.2A$37.2A2$83.D
3.2A15.D$83.2D2.2A15.D.D43.2C$46.2A36.2D18.3D43.2C$47.A36.D21.D$44.3A
36.D$44.A3$97.2A29.A$78.2A18.A27.3A$78.A.A14.3A18.3D6.A$55.2A23.A14.A
20.D8.2A$54.A.A23.2A33.3D$54.A$53.2A7$105.2A$105.2A9$120.2A$120.2A4$
150.2A$150.A$148.A.A$148.2A13.2A$163.2A3$127.2A40.2A$127.2A40.2A$165.
2A$149.D15.2A$147.D.D$147.3D$147.D$170.2A$170.2A7$137.2A17.3D$137.2A
18.D$157.3D2$163.2A$163.A$164.3A$166.A$150.2A$149.A.A$149.A$148.2A7$
158.2A$158.2A7.2A$167.A$157.D7.A.A$156.3D6.2A$155.D2.2D2$147.A$147.3A
$150.A$149.2A7$166.2A$166.2A4$188.A11.2A$187.A.A10.2A$187.A.A$181.2A
2.3A.2A$181.A2.A$179.A.A3.3A.2A$179.2A6.A.2A4$147.2A$148.A$145.3A$
145.A31.2A.D11.2A$177.2A.3D9.2A$180.D.D24.2A$182.D23.A2.A$207.2A.A$
210.A$156.2A52.2A$155.A.A37.2A$155.A40.A$154.2A37.3A$193.A5$161.2A$
161.2A6$219.A$218.2A$218.A.A3$189.5D2.D4.D.D6.D$189.D4.D.D4.D.D6.D$
189.D4.D.D4.D.D6.D$189.D4.D.D4.D.D6.D$189.D4.D.D4.D.D6.D$189.5D2.D4.D
.D6.D$189.D6.D4.D.D6.D$189.D6.D4.D.D6.D$189.D6.D4.D.D6.D$189.D7.4D2.
6D.6D!

Substitute any other G-to-Hs for the syringe+dependent conduits I used here, of course. My first try used Callahan G-to-Hs, but after I thought about it it seemed like that wouldn't be optimal. These circuits will be constructed with regular four-direction recipes and not slow salvos, so it seems worth throwing in an eater2 here and there if it saves a lot of other still lifes.

-- We might actually have to get Hersrch updated, finally, with all the latest Spartan conduits, to make the most efficient synchronized connections. (!)

Even if nobody comes up with a better construction arm mechanism, this one isn't too bad. The whole thing can be wired together with just a couple of splitters, plus a merge circuit so that the PULL shotgun also gets triggered at the right time when a PUSH signal comes in. (Seems like we already get a PULL signal that comes along with the FIRE signal -- that's very convenient!)

-- Or maybe it's simpler to adjust chris_c's / calcyman's processing circuitry somehow, so that it always sends out a PULL signal, and then optionally either a PUSH or a FIRE signal? Then you wouldn't even need the merge circuit.

Anyway, there doesn't seem to be any need to build a five-glider shotgun, and then add more signal paths to suppress some of the gliders. That's a method that works well for p30/p46 circuitry, where there are surplus gliders flying around all over the place anyway -- but it doesn't seem efficient to duplicate that method here.
We can just as easily hook the inputs up directly to the appropriate shotgun barrels.
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Re: Building a reverse caber-tosser

Postby calcyman » May 24th, 2018, 6:45 pm

So what's the proposed plan for the shotgun? Pure p1, or p8, or p256? (The rest of the reverse caber-tosser uses p256 with plenty of 'double-negation' of glider streams, but maybe you can do something elegant with p8 reflectors and p8 bumpers and Herschel circuitry.)
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Re: Building a reverse caber-tosser

Postby dvgrn » May 24th, 2018, 7:09 pm

calcyman wrote:So what's the proposed plan for the shotgun? Pure p1, or p8, or p256? (The rest of the reverse caber-tosser uses p256 with plenty of 'double-negation' of glider streams, but maybe you can do something elegant with p8 reflectors and p8 bumpers and Herschel circuitry.)

Well, I guess I'm proposing using NW31 inserters for all five of the component guns, probably without the R64 turns shown in the sample come to think of it -- they'll stack better without them, and there have to be four NW31s on one side. On the other hand, the edge shooters will probably be easier to construct if they aren't packed too tightly, anyway.

Then, well, I think nobody has sorted out a reasonable-sized modern Spartan (or "Spartanish") universal-adjustment toolkit, so maybe somebody should do that. I'm guessing, without much evidence, that trombone-slide adjustments will be a little cheaper if they're made with p8 bumpers and reflectors, than if they're syringe-based G-to-H-to-G 180-degree turns. Pretty sure Snarks will never be the cheapest option.

Really the only way to know for sure is to find glider recipes for every possible option, and then compare them. Heh.

We'll need

-- 2 G-to-X-to-G adjusters for two signals out of (PUSH, PULL, FIRE) to line them up with the slowest of the three, in the construction-arm salvos;

-- 2 splitters-plus-adjusters for PULL and FIRE;

-- and if it isn't possible to coax an extra PULL signal out of the decoder somehow, we'll need an initial splitter on the PUSH output, maybe before we do anything else, with an adjuster to produce an identically-timed PULL signal. (I think it's currently guaranteed that if there's a PUSH signal there isn't a PULL signal for the current cycle, and vice versa.)

That's pretty much everything, right? Hook all that up and point it at an elbow block, with a hand block off to the side somewhere, and the Universal N-Glider Constructor will suddenly be in full operation.
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Re: Building a reverse caber-tosser

Postby Goldtiger997 » May 25th, 2018, 8:35 pm

Here's the completed synthesis of the caber tosser. It costs 266 gliders (which includes the two gliders that are released but not the cordership). There were actually a lot of mistakes I had made involving gliders crossing, but I managed to fix most of them with some clever recipe manipulation, except for one where I had to add two extra kickbacks.

Code: Select all
x = 1620, y = 1531, rule = B3/S23
1360bo$1358b2o$1359b2o7$1355bo$1353b2o$1354b2o21$1424bo$1422b2o$1423b
2o7$1419bo$1417b2o$1418b2o177$1523bo$1523bobo$1523b2o6$1525bo$1525bobo
$1525b2o10$485bobo$486b2o$486bo2$490bobo$491b2o$491bo1023bo$1515bobo$
481bo1033b2o$482b2o$481b2o53$1551bo$1549b2o$1550b2o3$1553bobo$1553b2o$
1554bo11$553bo$551bobo$552b2o2$558bo$556bobo$557b2o987bo$1544b2o$548bo
996b2o$549bo$547b3o$524bo$522bobo$516bobo4b2o$517b2o490bo$517bo491bobo
$1001bobo5b2o$1001b2o$1002bo6$515bo5bo$516b2o4b2o473bo$515b2o4b2o474bo
bo$997b2o18bobo$1017b2o$1018bo$532bobo$533b2o$533bo2$998bo$997bo$997b
3o4$524bo$525b2o$524b2o2$999bo289bo$998bo290bobo$998b3o288b2o3$539bo
39bo$540b2o38b2o453bo4bobo$539b2o38b2o454bobo2b2o$1035b2o4bo$1010bo
468bo19bo$580bo428bo469bobo15b2o$538bobo40bo427b3o24bobo440b2o17b2o$
539b2o38b3o454b2o$539bo45bo451bo450bo$583bobo901bo14bobo$584b2o901b3o
12b2o$1010bo492bo$1010bobo$1010b2o472bo$1264bo218bo$1263bo219b3o$1263b
3o2$1304bo$1304bobo$1304b2o$1308bo$1307bo$1259bo47b3o$1258bo$1258b3o3$
584bo$585bo$583b3o3$985bo$983b2o$557bo426b2o$558bo$556b3o$600bo$598bob
o$592bobo4b2o$593b2o434bo$498bo94bo435bobo$478bobo18bo521bobo5b2o$479b
2o16b3o521b2o$479bo542bo2$474bo15bo68bo$475b2o11bobo69b2o$474b2o13b2o
68b2o2$400bo190bo5bo$401bo92bo97b2o4b2o417bo$399b3o90bobo96b2o4b2o418b
obo$493b2o522b2o18bobo$562bo474b2o$560bobo475bo$561b2o45bobo$609b2o$
570bo38bo$571b2o$570b2o446bo$1017bo$1017b3o3$1219bo$445bobo152bo602bob
o12bo$446b2o153b2o600b2o13b3o$446bo153b2o602bo2$1019bo$1018bo$1018b3o
3$615bo39bo$616b2o38b2o397bo4bobo$455bo159b2o38b2o398bobo2b2o194bo$
453bobo599b2o4bo194bobo$454b2o574bo225b2o$656bo372bo$614bobo40bo371b3o
24bobo$615b2o38b3o398b2o185bobo$615bo45bo395bo185b2o$659bobo582bo$660b
2o$1030bo$1030bobo$1030b2o2$470bo$435bo32bobo20bo$436b2o31b2o21b2o$
435b2o54b2o157bo$651bo$445bo203b3o$446bo$444b3o2$1160bo$489bobo667bo$
490b2o667b3o$490bo2$521bo730bo$522b2o727bo$521b2o728b3o2$1005bo254bo$
486bo35bo480b2o255bobo$487b2o34bo109bo370b2o208bo4bobo38b2o$486b2o33b
3o110bo579bobo2b2o$632b3o579b2o4bo6$1190bo$1188b2o$1189b2o2$635bo$636b
2o$635b2o389bo$1026bobo$701bo324b2o236bobo$699bobo328bo233b2o$700b2o
327bo235bo$1029b3o$638bo$636bobo23bo$637b2o24bo99bo$661b3o97bobo259bo
243bo$646bo108bo6b2o258bo243bo$647b2o104bobo266b3o241b3o6bo$646b2o106b
2o519bobo$628bo387bobo18bo237b2o$507bobo119bo386b2o19bobo$497bobo8b2o
117b3o387bo19b2o$498b2o8bo698bobo$498bo708b2o$1208bo71bo$620bo160bo
498bobo$621bo55bo19bo13bo70b2o258bo237b2o$619b3o56bo16bobo14bo68b2o
257b2o$676b3o17b2o12b3o328b2o4$1021bobo$1021b2o$1022bo2$688bo$689bo$
687b3o$1230bobo$552bo677b2o$553bo131bo545bo$551b3o129bobo$684b2o106bob
o$793b2o$793bo2$797bobo$798b2o$798bo227bo$1026bobo$788bo237b2o$789b2o$
788b2o4$1003bo$1002bo$1002b3o11$989bo$988bo$988b3o2$984bo$983bo$983b3o
$708bobo$709b2o$709bo283bo$993bobo$993b2o185$779b2o$778bobo$780bo3$
775b2o$774bobo$776bo$999bo34bo$998b2o33b2o$998bobo32bobo$1019b3o$1019b
o$1020bo2$1040bo$1039b2o$1039bobo2$1049b2o$1048b2o$1050bo$1046bo$1045b
2o$1045bobo22$579bo$556b2o21b2o$557b2o19bobo$556bo12b3o$571bo$570bo2$
558b2o$557bobo$559bo9b3o$571bo$570bo9$655bo$632b2o21b2o$633b2o19bobo
367b2o$632bo12b3o375b2o$647bo56b2o319bo$646bo56bobo$705bo309bo$634b2o
378b2o$633bobo378bobo$3b2o630bo9b3o$3ob2o641bo372bo$5o641bo372b2o$b3o
1015bobo$586bo$586b2o$585bobo2$694b2o$695b2o$694bo20b2o$716b2o$715bo$
1024b3o$1024bo$1025bo2$1020b2o$1020bobo$1020bo$1014b2o$1014bobo$1014bo
3$682b3o$684bo$683bo3$674b3o$676bo$675bo$678b2o$652bo24bobo$652b2o25bo
$651bobo4$534b2o$535b2o$534bo18$610b2o$611b2o$610bo97$683b2o$682bobo
502b3o$684bo502bo8bo$1188bo6b2o$1195bobo$692b3o$694bo$693bo2$687b3o$
689bo$688bo43$626b3o$628bo$627bo528b2o$1155b2o14b2o$1157bo12b2o$1172bo
6$618bo548bo$618b2o546b2o$617bobo546bobo3$1165b2o$1165bobo$1165bo3$
1160b3o$1160bo$1161bo105b2o66b2o$1266b2o17b2o47b2o$700bo567bo15b2o50bo
$700b2o584bo$699bobo3$1255b2o$1248b3o4bobo$1248bo6bo$1249bo2$654bo$
648b3o3b2o594b2o$650bo2bobo594bobo$649bo600bo2$1212bo$628b3o580b2o$
630bo580bobo$629bo10b3o$642bo$641bo17b2o$658bobo$660bo$1225b2o$633b2o
590bobo$632bobo590bo$634bo594b3o$659b3o567bo$661bo568bo$660bo578b2o$
1239bobo$1230b2o7bo$1229b2o$1231bo59b2o$1290b2o$1292bo5$1252b2o$1251b
2o$1253bo3$1256bo11bo$1255b2o10b2o$1255bobo9bobo$1283b3o$1283bo$615b3o
61b2o595b2o6bo$617bo60bobo594b2o$616bo63bo596bo6$1275bo$608b2o664b2o$
609b2o663bobo$608bo635bo$1243b2o$1243bobo7$605b3o$607bo$606bo7$526b2o$
521bo5b2o$521b2o3bo$520bobo673b2o$1195b2o$1197bo$527bo$527b2o$526bobo
25bo$554b2o$553bobo15$503b3o$505bo$504bo8$1199bo$1198b2o$1198bobo$449b
2o$450b2o$449bo4$466bo$466b2o$465bobo7$449b2o$450b2o$449bo5$1205b3o$
1205bo$1206bo2$488bo724b2o$488b2o723bobo$487bobo723bo5$444bo$444b2o$
443bobo765b3o$1211bo$1212bo$432b2o$433b2o9bo$432bo11b2o$443bobo15$534b
o$534b2o$533bobo3$402b3o$404bo$403bo2$529bo$529b2o$528bobo8$520bo$520b
2o$519bobo$1354bo166bo$1353b2o165b2o$1353bobo164bobo5$1508b3o12b3o$
1508bo14bo$1509bo14bo$1533b2o$1533bobo$1533bo2$1529b3o$1529bo$1530bo5$
1364bo$1363b2o$1363bobo5$495b2o$496b2o$495bo5$1363b2o$1362b2o$483b3o
878bo$485bo$484bo5$552b2o$543bo9b2o$543b2o7bo$542bobo3$1482bo72b2o$
1481b2o56bo14b2o$1481bobo54b2o16bo$1538bobo2$1563b2o$1562b2o$553bo
1010bo$553b2o1005bo$552bobo938b2o64b2o$1493bobo63bobo$1493bo204$1618bo
$1617b2o$1617bobo! [[ STEP 8 THEME 2 PAUSE 1 ZOOM 1 ]]


Also, here's an idea for the shotgun that just fails, but may give somebody else inspiration so I'll post it. Each of the yellow gliders is one of the PUSH/PULL/FIRE signal and the white gliders/herschels are the shotgun. If you re-enable any of the yellow gliders, it will do the correct operation on the block except for PUSH, because the edgeshooter gets in the way:

x = 104, y = 73, rule = LifeHistory
82.2C$82.2C17$65.3B$64.4B$E.E60.4B$.2E59.4B$.E59.4B$3.E56.4B$60.4B$
59.5B$56.9B$56.9B$56.9B$56.10B$55.12B$54.13B8.2A$55.11B9.A$56.12B4.BA
.A21.B$56.15B.B2A10.A10.4B$56.17B12.3A7.4B$41.3B12.17B15.A5.4B$40.4B
9.B.17B15.2A4.4B$39.4B9.2A19B14.5BC3B6.2A$38.4B10.2AB.19B14.3BCBC7.A$
37.4B12.B4.20B2.2B2.B3.4B2C5.2A.A$36.4B18.16BD19B4.A2.A$36.4B18.9B.4B
DBD20B3.B2A$35.5B19.7B2.4B3D9B2A14B$32.9B18.7B2.4BD11B2A13B$32.9B18.
6B4.29B$32.9B18.7B10.2B.B.17B$32.10B17.6B10.3B4.15B$31.12B15.7B6.2A.
2BA5.15B$30.13B8.2A6.6B6.A.2BA.A5.13B$31.11B9.A8.5B7.A2.BA.A2.13B$32.
12B4.BA.A8.6B7.A3.A.A.2A4.8B$15.E16.15B.B2A11.4B5.A.4A2.AB2A6.6B$16.E
15.17B12.B2A2B4.A.A3.A.A2.B8.5B$14.3E.E13.17B13.2A6.A.A2.A2.2A.2A9.B.
B$29.B.17B23.A3.2A2.A.A9.3B$28.2A19B30.A.A9.B2AB$28.2AB.19B29.A11.2A$
29.B4.19B$11.E22.16BC2B$8.2E10.2A12.9B.4BCBC3B$9.2E8.A2.A4.2A6.7B2.4B
3C2B$8.E10.A.A4.ABAB5.7B2.4BC5B$20.A4.3AB6.6B4.10B$25.2AB7.7B10.4B$
15.2A9.B.2A5.6B12.3B$16.A9.B3A4.7B13.4B$13.3A19.6B15.2A$13.A22.5B15.A
$2.2C23.2A7.6B15.3A$.C.C23.2A9.4B17.A$3.C33.B2A2B$38.2A!


Edit: just to be clear, I added a suppression cell to one of the yellow gliders that was supposed to be there before. It should be less confusing now.
Last edited by Goldtiger997 on May 26th, 2018, 1:07 am, edited 2 times in total.
Things to work on:
  • Work on the snowflakes orthogonoid
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Re: Building a reverse caber-tosser

Postby dvgrn » May 25th, 2018, 10:27 pm

Goldtiger997 wrote:Also, here's an idea for the shotgun that just fails, but may give somebody else inspiration so I'll post it. Each of the yellow gliders is one of the PUSH/PULL/FIRE signal and the white gliders/herschels are the shotgun. If you re-enable any of the yellow gliders, it will do the correct operation on the block except for PUSH, because the edgeshooter gets in the way...

I think I almost understand this idea, except isn't it necessary to re-enable both of the suppressed yellow gliders? Otherwise the perpendicular one flies off to the side through one of the inserters. And it also seems like the white glider runs into trouble with a spark from the active yellow glider, so overall ... I'm still confused.

You definitely can't insert a glider 37 ticks in front of another one with an NW31, but the RNE-19T84 inserter I was going on about a couple posts back could maybe work.

EDIT: fixed glider location in the NE.

x = 123, y = 106, rule = LifeHistory
96.2C$96.2C4$.E$2.E$3E2$3.E9$79.3B$78.4B$77.4B$76.4B$75.4B$74.4B$74.
4B42.C.C$73.5B42.2C$70.9B42.C$26.A43.9B$24.A.A43.9B$25.2A43.10B$69.
12B$68.13B8.2A$69.11B9.A$58.4B8.12B4.BA.A$57.2D2B9.15B.B2A10.A13.B$
56.2B2D10.17B12.3A$55.2BDB11.17B15.A$54.4B9.B.17B15.2A$14.E38.4B9.2A
19B14.5B10.2A$15.2E35.4B10.2AB.19B14.3B10.A$14.2E35.4B12.B4.20B2.2B2.
B3.4B7.2A.A$50.4B18.16BD19B4.A2.A$49.6B7.2A8.9B.4BDBD20B3.B2A$48.7B7.
A10.7B2.4B3D9B2A14B$47.10B2.BA.A10.7B2.4BD11B2A13B$46.12B.B2A11.6B4.
29B$45.11BA3B13.7B10.2B.B.17B$44.11BABA2B13.6B10.3B4.15B$43.12BABA2B
12.7B6.2A.2BA5.15B$42.7B.B2.3BA3B13.6B6.A.2BA.A5.13B$41.4B.4B4.6B14.
5B7.A2.BA.A2.13B$40.4B3.3BC4.6B7.2A4.6B7.A3.A.A.2A4.8B$39.4B5.BCBC3.
6B7.A7.4B5.A.4A2.AB2A6.6B$38.4B6.C2BCB2.5B5.BA.A6.B2A2B4.A.A3.A.A2.B
8.5B$37.4B8.2C13B.B2A8.2A6.A.A2.A2.2A.2A9.B.B$37.3B11.15B19.A3.2A2.A.
A9.3B$37.2B13.14B27.A.A9.B2AB$37.B7.2A5.14B28.A11.2A$46.A5.13B$46.A.A
B2.12B$34.2A11.2AB.9B.B$33.A2.A4.2A6.11B$33.A.A3.BA2BA5.13B$34.A4.BA
2B6.9B.B2A.A$39.BA2B7.7B2.B2AB3A$29.2A9.AB2A5.8B4.B4.A$30.A9.2B2A6.8B
2.2A.3A$27.3A11.4B6.7B3.A.A$27.A13.4B3.11B2.A.A$40.B2A2B2.11B4.A$41.
2A4.11B$47.11B$47.B3E4B2.B2A$11.E35.2BE4B3.BA.A$8.2E37.2B3E2B6.A$7.E.
E37.6B7.2A$9.E36.7B$45.8B$44.8B$44.8B$42.2AB2.6B$41.A.AB.7B14.A$41.A
4.6B13.3A$2.C37.2A4.8B4.B5.A$2.2C43.B2A6B.4B3.2A$.C.C42.2B2A16B$47.
17B$48.17B$51.13B$50.12B$50.10B$49.11B$49.7B.2B$48.11B$49.11B$49.11B$
49.11B$47.2AB2.8B$46.A.AB3.7B$46.A6.7B$45.2A7.6B$54.7B$54.8B$55.8B$
55.9B$54.6B.4B!

I think the question for any of these "default shotgun" designs is how it would be triggered. If you need exact-timing merge circuits to run the shotgun, triggered from any of the three inputs PUSH, PULL, or FIRE, that seems like it will add up to more circuitry than the direct option I outlined. (?)

EDIT: 265 gliders -- I think I tried all the likely two-glider collisions to find something that could cleanly suppress four gliders, but there didn't seem to be one. There are 3-glider absorbers, but then you need another glider to knock out the last one anyway, so you might as well use two 2-glider absorbers (I used eaters, toward the bottom).

Also added gliders to replace the MWSS, just for the record:

x = 1219, y = 1415, rule = B3/S23
1014bo$1012b2o$1013b2o7$1009bo$1007b2o$1008b2o21$1078bo$1076b2o$1077b
2o7$1073bo$1071b2o$1072b2o177$1177bo$1177bobo$1177b2o6$1179bo$1179bobo
$1179b2o10$139bobo$140b2o$140bo2$144bobo$145b2o$145bo1023bo$1169bobo$
135bo1033b2o$136b2o$135b2o53$1205bo$1203b2o$1204b2o3$1207bobo$1207b2o$
1208bo11$207bo$205bobo$206b2o2$212bo$210bobo$211b2o987bo$1198b2o$202bo
996b2o$203bo$201b3o$178bo$176bobo$170bobo4b2o$171b2o490bo$171bo491bobo
$655bobo5b2o$655b2o$656bo6$169bo5bo$170b2o4b2o473bo$169b2o4b2o474bobo$
651b2o18bobo$671b2o$672bo$186bobo$187b2o$187bo2$652bo$651bo$651b3o4$
178bo$179b2o$178b2o2$653bo289bo$652bo290bobo$652b3o288b2o3$193bo39bo$
194b2o38b2o453bo4bobo$193b2o38b2o454bobo2b2o$689b2o4bo$664bo468bo19bo$
234bo428bo469bobo15b2o$192bobo40bo427b3o24bobo440b2o17b2o$193b2o38b3o
454b2o$193bo45bo451bo450bo$237bobo901bo14bobo$238b2o901b3o12b2o$664bo
492bo$664bobo$664b2o472bo$918bo218bo$917bo219b3o$917b3o2$958bo$958bobo
$958b2o$962bo$961bo$913bo47b3o$912bo$912b3o3$238bo$239bo$237b3o3$639bo
$637b2o$211bo426b2o$212bo$210b3o$254bo$252bobo$246bobo4b2o$247b2o434bo
$152bo94bo435bobo$132bobo18bo521bobo5b2o$133b2o16b3o521b2o$133bo542bo
2$128bo15bo68bo$129b2o11bobo69b2o$128b2o13b2o68b2o2$54bo190bo5bo$55bo
92bo97b2o4b2o417bo$53b3o90bobo96b2o4b2o418bobo$147b2o522b2o18bobo$216b
o474b2o$214bobo475bo$215b2o45bobo$263b2o$224bo38bo$225b2o$224b2o446bo$
671bo$671b3o3$873bo$99bobo152bo602bobo12bo$100b2o153b2o600b2o13b3o$
100bo153b2o602bo2$673bo$672bo$672b3o3$269bo39bo$270b2o38b2o397bo4bobo$
109bo159b2o38b2o398bobo2b2o194bo$107bobo599b2o4bo194bobo$108b2o574bo
225b2o$310bo372bo$268bobo40bo371b3o24bobo$269b2o38b3o398b2o185bobo$
269bo45bo395bo185b2o$313bobo582bo$314b2o$684bo$684bobo$684b2o2$124bo$
89bo32bobo20bo$90b2o31b2o21b2o$89b2o54b2o157bo$305bo$99bo203b3o$100bo$
98b3o2$814bo$143bobo667bo$144b2o667b3o$144bo2$175bo730bo$176b2o727bo$
175b2o728b3o2$659bo254bo$obo137bo35bo480b2o255bobo$b2o138b2o34bo109bo
370b2o208bo4bobo38b2o$bo138b2o33b3o110bo579bobo2b2o$286b3o579b2o4bo6$
844bo$842b2o$843b2o2$289bo$290b2o$289b2o389bo$680bobo$355bo324b2o236bo
bo$353bobo328bo233b2o$354b2o327bo235bo$683b3o$292bo$290bobo23bo$291b2o
24bo99bo$315b3o97bobo259bo243bo$300bo108bo6b2o258bo243bo$301b2o104bobo
266b3o241b3o6bo$300b2o106b2o519bobo$282bo387bobo18bo237b2o$161bobo119b
o386b2o19bobo$151bobo8b2o117b3o387bo19b2o$152b2o8bo698bobo$152bo708b2o
$862bo71bo$274bo160bo498bobo$275bo55bo19bo13bo70b2o258bo237b2o$273b3o
56bo16bobo14bo68b2o257b2o$330b3o17b2o12b3o328b2o4$675bobo$675b2o$676bo
2$342bo$343bo$341b3o$884bobo$206bo677b2o$207bo131bo545bo$205b3o129bobo
$338b2o106bobo$447b2o$447bo2$451bobo$452b2o$452bo227bo$680bobo$442bo
237b2o$443b2o$442b2o4$657bo$656bo$656b3o11$643bo$642bo$642b3o2$638bo$
637bo$637b3o$362bobo$363b2o$363bo283bo$647bobo$647b2o185$433b2o$432bob
o$434bo3$429b2o$428bobo$430bo$653bo34bo$652b2o33b2o$652bobo32bobo$673b
3o$673bo$674bo2$694bo$693b2o$693bobo2$703b2o$702b2o$704bo$700bo$699b2o
$699bobo22$233bo$210b2o21b2o$211b2o19bobo$210bo12b3o$225bo$224bo2$212b
2o$211bobo$213bo9b3o$225bo$224bo9$309bo$286b2o21b2o$287b2o19bobo367b2o
$286bo12b3o375b2o$301bo56b2o319bo$300bo56bobo$359bo309bo$288b2o378b2o$
287bobo378bobo$289bo9b3o$301bo372bo$300bo372b2o$673bobo$240bo$240b2o$
239bobo2$348b2o$349b2o$348bo20b2o$370b2o$369bo$678b3o$678bo$679bo2$
674b2o$674bobo$674bo$668b2o$668bobo$668bo3$336b3o$338bo$337bo3$328b3o$
330bo$329bo$332b2o$306bo24bobo$306b2o25bo$305bobo4$188b2o$189b2o$188bo
18$264b2o$265b2o$264bo97$337b2o$336bobo502b3o$338bo502bo8bo$842bo6b2o$
849bobo$346b3o$348bo$347bo2$341b3o$343bo$342bo43$280b3o$282bo$281bo
528b2o$809b2o14b2o$811bo12b2o$826bo6$272bo548bo$272b2o546b2o$271bobo
546bobo3$819b2o$819bobo$819bo3$814b3o$814bo$815bo105b2o66b2o$920b2o17b
2o47b2o$354bo567bo15b2o50bo$354b2o584bo$353bobo3$909b2o$902b3o4bobo$
902bo6bo$903bo2$308bo$302b3o3b2o594b2o$304bo2bobo594bobo$303bo600bo2$
866bo$282b3o580b2o$284bo580bobo$283bo10b3o$296bo$295bo17b2o$312bobo$
314bo$879b2o$287b2o590bobo$286bobo590bo$288bo594b3o$313b3o567bo$315bo
568bo$314bo578b2o$893bobo$884b2o7bo$883b2o$885bo59b2o$944b2o$946bo5$
906b2o$905b2o$907bo3$910bo11bo$909b2o10b2o$909bobo9bobo$937b3o$937bo$
269b3o61b2o595b2o6bo$271bo60bobo594b2o$270bo63bo596bo6$929bo$262b2o
664b2o$263b2o663bobo$262bo635bo$897b2o$897bobo7$259b3o$261bo$260bo7$
180b2o$175bo5b2o$175b2o3bo$174bobo673b2o$849b2o$851bo$181bo$181b2o$
180bobo25bo$208b2o$207bobo15$157b3o$159bo$158bo5$4bo$4b2o699b3o$3bobo
699bo$706bo146bo$852b2o$852bobo$103b2o$104b2o$103bo4$120bo$120b2o$119b
obo7$103b2o$104b2o$103bo5$859b3o$859bo$860bo2$142bo724b2o$142b2o723bob
o$141bobo723bo5$98bo$98b2o$97bobo765b3o$865bo$866bo$86b2o$87b2o9bo$86b
o11b2o$97bobo15$188bo$188b2o$187bobo3$56b3o$58bo$57bo2$183bo$183b2o$
182bobo11$1175bo$1174b2o$1174bobo5$1162b3o12b3o$1162bo14bo$1163bo14bo$
1187b2o$1187bobo$1187bo2$1183b3o$1183bo$1184bo5$1018bo$1017b2o$1017bob
o5$149b2o$150b2o$149bo5$1017b2o$1016b2o$137b3o878bo$139bo$138bo5$206b
2o$197bo9b2o$197b2o7bo$196bobo3$1136bo72b2o$1135b2o56bo14b2o$1135bobo
54b2o16bo$1192bobo2$1217b2o$1216b2o$207bo1010bo$207b2o1005bo$206bobo
938b2o64b2o$1147bobo63bobo$1147bo24$49b2o$50b2o$49bo62$b2o$2b2o$bo!

-- Now it occurs to me that the "clean" requirement isn't necessary. The cleanup is all encoded in the Cordership position, so extra junk lying around is fine, as long as the construction recipe is cheap and the circuit works... Are there any gliders "wasted" elsewhere doing unnecessary construction cleanup?
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Re: Building a reverse caber-tosser

Postby calcyman » May 26th, 2018, 8:23 am

It's occurred to me that you only need PULL and DESTRUCTIVE_FIRE, provided you have a receding c/12 block puffer to produce an infinite line of elbows. This design would be considerably simpler.
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