Synthesising Oscillators

[Extrementhusiast]

and there are others that seemingly don't fit into any category (like my bun-adding component).

It's fine to have a "miscellaneous" category, that people have to examine individually, as long as it's relatively small.

That's precisely the problem: there are too many that fall under the "miscellaneous" category right now.

And when the same glider collision can do different things to different objects....

I classify converters based on their input and output, not what gliders are used. If the same combination of gliders has two different results in two different situations, I classify it as two different converters. (As a ludicrously simple example, a single glider can delete a block, or add a boat to a snake - these are clearly different converters, even though they have the same input glider(s).)

For clarification, I was referring to things more like this:

Code: Select all

x = 17, y = 22, rule = B3/S23
5bo$3bobo$2o2b2o$b2o$o13bo$5bo7bobo$4bobo7bobo$5bo9bo7$5bo$3bobo$2o2b
2o$b2o$o13bo$5bo7bobo$4bobo6bo2bo$4b2o8b2o!

They use the same mechanism, yet would be categorized as different, due to the one extra bit.



That one P7 recently seen in Catagolue:

Code: Select all

x = 729, y = 44, rule = B3/S23
680bobo$232bo447b2o$184bo45bobo14bo63b2o348bobo17bo$41bo96bo43bobo46b
2o13bo63b3o349b2o$40bo97bobo42b2o61b3o61b2obo348bo6bo$40b3o95b2o98b2o
71b3o356b2o$38bo79bo90bo27bobo16bo55bo356b2o$31bo4bobo7bo58bo11bo24bo
64bobo2bo26bo15bo$32b2o3b2o7bobo21bo35bo10b3o19bo2bobo44bo18b2o2bobo
40b3o363bo$9bo21b2o13b2o20bobo33b3o30bobo2b2o44bo23b2o38bo233bo135bo
41bobo$9bobo57b2o67b2o48b3o62b2o229b2o134b3o42b2o$9b2o61bo179b2o231b2o
178bo29bobo$o15bo55bobo31b2o83b2o21b2o40b3o47bobo386b2o$b2o12bo48b2o6b
2o25b2o4bo2bo29b2o39b2ob2o7bobo16b2o2bobo24b2o3b2o8bo24b2o24b2o9b2o30b
2o32b2o37b2o32b2o27bo6b2o38b2o33b2o33b2o33b2o39b2o15bo$2o13b3o46bo2bo
31bo2bo3b2o30bo2bo37bo3bo7bo18bo5bo24bo2bo2bo9bo14bo8bo3bo2bo18bo10bo
3bo2bo24bo3bo2bo26bo3bo2bo17bo13bo3bo2bo26bo3bo2bo21b2o5bo3bo2bo32bo3b
o2bo27bo3bo2bo27bo3bo2bo27bo3bo2bo33bo3bo2bo38bo2bo$6bo58b3o32b3o8bo
27b3o38b3o28b5o26b5o23bobo9b7o30b7o25b7o27b7o18bo13b7o27b7o20bobo6b7o
33b7o28b7o28b7o14bo13b7o34b7o36b6o$bo3b2o100bo2bo160b2o135b3o32bobo34b
obo108bo32bo97bo$b2o2bobo30bob2o22bob2o31bob2o3b2o2b3o25bob4o35bob4o
25bob4o25bob4o34bob4o19bo11bob4o26bob4o28bob4o33bob4o15b2o11bob4o18b2o
10bob4o34bob4o29bob4o18bo10bob4o15b3o11bob4o35bob4o36bob4o$obo35b2obo
22b2obo31b2obo3bobo29b2obo2bo34b2obo2bo24b2obo2bo24b2obo2bo33b2obo2bo
19bo10b2obo2bo25b2obo2bo27b2obo2bo32b2obo2bo14bo12b2obo2bo17bo11b2obo
2bo15bo17b2obo2bo28b2obo2bo15b3o10b2obo2bo28b2obo2bo34b2obo2bo35bo5bo$
27b3o6b2o24b2o33b2o37b2o5b2o32b2o5bobo21b2o5bobo21b2o5bobo30b2o5bobo
16b3o8b2o5bobo18b2o2b2o5bobo20b2o2b2o5bobo12bo4b3o5b2o2b2o5bobo15bo8b
2o5bobo26b2o5bobo15b2o9b2o2b2o5bobo21b2o2b2o5bobo21b2o2b2o5bobo21b2o2b
2o5bobo27b2o2b2o5bobo7bo24b2o5bo$13b2o14bo5bobo23bobo32bobo36bobo16bo
21bobo6bo21bobo6bo21bobo6bo30bobo6bo29bo6bo19bobo2bo6bo21bobo2bo6bo14b
2o4bo5bobo2bo6bo16b2o4b2o2bo6bo24b2o2bo6bo15b2o10bobo2bo6bo22bobo2bo6b
o22bobo2bo6bo22bobo2bo6bo15b2o11bobo2bo6bo7bo24bo5b2o$12b2o14bo7bo25bo
34bo6b2o30bo17bobo20bo28bobo28bobo37bobo23b2o11bo29bobo31bobo21b2o4bo
8bobo23bobo5bobo33bobo37bobo32bobo24b3o5bobo32bobo24b2o12bobo15b3o21bo
bo$14bo54bobo31bo2bo2b2o43b2o2b2o12bo34bo30bo39bo23bobo11b2o27b2ob2o
29b2ob2o34b2ob2o28bobob2o9bo22bob2o36bob2o31bob2o25bo5bob2o30b2ob2o22b
o14bob2o38bobo2bo$69b2o32bo2bob2o48bobo12b2o129bo35bo46b2o32bo20bo8b2o
2bo9bo21bobobo35bobobo10bobo16b2obobo25bo3b2obobo32bobo37b2obo18b2o18b
2obo2bo$70bo33b2o4bo47bo13b2o2b2o163bo11b2o19bo11bo2bo31bobo18b2o11bob
o7b3o19b2o2bo35b2o2bo10b2o17bob2obobo27bo2bobobo18b2o8bobobobo36bobobo
16bobo18bobobo$151bo23bobo161b3o12b2ob3o12bobo3bo7bo2bo32b2o17bobo12b
2o33bobo37bobo9bo23bobo27b2o3bobo16bobo8b2o3bobo35bo2bobo15bo20bo2bo$
70b2o64b2o12b2o25bo175bo3bo15b2o2bobo2b2o3b2o103b2o38b2o7bo16bo9bo34bo
19bo14bo35b2o3bo36b2o$70bobo64b2o11bobo125b2o26b3o33b3o13bo18bobob2o
95b2o61bo17b2o$70bo65bo142b2o6b2o19bo35bo33bo4bo4bo90b2o60bo16b2o2b2o
128b2o$278bo7b2o19bo35bo43b2o60b2o27bo82bobo127b2o$282b3o3bo92b2o4bobo
60b2o4bo5b2o37b2o15b2o17b3o3b3o17bo64bobo51b3o8bo$136b3o145bo95bobo66b
o5b2o4b2o37b2o17b2o108b2o53bo$138bo144bo98bo72bobo5bo38bo15bo22bo87bo
53bo$137bo359b3o41bo84b2o59b2o$499bo35bo5bo83bobo3b2o54bobo4b3o$140b2o
356bo35b2o91bo3bobo37b2o14bo6bo$139b2o393bobo94bo40b2o9b3o9bo$141bo
230b2o147b3o147bo13bo$371bobo149bo160bo$373bo148bo2$536b2o$535b2o$537b
o!

During the process, I found this really weird component:

Code: Select all

x = 24, y = 17, rule = B3/S23
bo7b2o$2bo6bo$3o3b2obo7bo$5bobob2o5bo$6bo2bo6b3o$9bobo$10b2o10bo$20b2o
$21b2o$4b2o$5b2o2bo5b2o$4bo3b2o4b2o$8bobo5bo2$22b2o$21b2o$23bo!

[mniemiec]

That one P7 recently seen in Catagolue: ...

I just noticed that your add-bookend converters are one glider cheaper than the ones I have been using. When did you find them?

During the process, I found this really weird component: ...

I could see this as possibly coming in useful, although not for any of my computer-generated object lists, as the largest ones only go up to 24 bits, and the smallest stator stable variant of this converter needs 28.

I thought I remembered seeing 27P9.1 pop up on these forums somewhere, but I can't recall where. Did you ever create a synthesis for it? It also has two trivial stator variants that can be made from it:

Code: Select all

x = 190, y = 19, rule = B3/S23
153bo$39bo103bo9bobo$38bo61bo40bobo9boo$29bo8b3o59bobo39boo$29bobo68b
oo$29boo$21bobo44boo28boo$22boo44boo28boo$boo19bo8boo27boo28boo28boo
20bobo5boo$bbo29bo10boo15bo29bo29bo22boo5bo28boo$bboboo13b3o10boboo7bo
bo16boboo26boboo26boboo17bo8boboo23bobboboo$boobobo14bo9boobobo6bo17b
oobobo24boobobo24boobobo24boobobo24boobobo$7bo12bo16bo29bo29bo29bo13bo
15bo29bo$5b3o27b3o27b3o27b3o27b3o11bobo13b3o27b3o$oo6boo20boo6boo20boo
6boo20boo6boo20boo6boo10boo8boo6boo20boo6boo$obboboobo21bobboboobo21bo
bboboobo21bobboboobo21bobboboobo21bobboboobo21bobboboobo$bboobobbo23b
oobobbo23boobobbo23boobobbo23boobobbo13bo9boobobbo23boobobbo$6boo28boo
28boo28boo28boo14boo12boo28boo$141bobo!

[gmc_nxtman]

If someone can find an edgy block-synthesis to place at gen. 34, we would have a synthesis of a trice tongs variant:

Code: Select all

x = 24, y = 24, rule = LifeHistory
9.A.A$10.2A10.A$6.A3.A10.A$7.A13.3A$5.3A5$16.A$16.A.A$16.2A$2.2D$2.D
7$C$C.C$3C$2.C!

[Extrementhusiast]

That one P7 recently seen in Catagolue: ...

I just noticed that your add-bookend converters are one glider cheaper than the ones I have been using. When did you find them?

Quite a while ago, actually. It was present in my original stillator synthesis on page 9, back in late 2013.

I thought I remembered seeing 27P9.1 pop up on these forums somewhere, but I can't recall where. Did you ever create a synthesis for it? It also has two trivial stator variants that can be made from it:

Code: Select all

RLE

No, I actually haven't, although I might be able to take some sort of look at it.

If someone can find an edgy block-synthesis to place at gen. 34, we would have a synthesis of a trice tongs variant:

Code: Select all

RLE

This works:

Code: Select all

x = 38, y = 26, rule = B3/S23
24bo$25bo$23b3o11bo$7bo11bo15b2o$bo6bo11b2o14b2o$2bo3b3o10b2o$3o4$19bo
10bobo$18bo11b2o$18b3o10bo6$19bo$15bob2o$13bobo2b2o$14b2o2$3b3o$5bo$4b
o!

[gmc_nxtman]

This works:

Code: Select all

x = 38, y = 26, rule = B3/S23
24bo$25bo$23b3o11bo$7bo11bo15b2o$bo6bo11b2o14b2o$2bo3b3o10b2o$3o4$19bo
10bobo$18bo11b2o$18b3o10bo6$19bo$15bob2o$13bobo2b2o$14b2o2$3b3o$5bo$4b
o!

Nice! I reduced the cost by one glider and found a slightly different method that costs the same amount (9 gliders):

Code: Select all

x = 118, y = 26, rule = B3/S23
37bo78bo$36bo78bo$7bo28b3o76b3o$bo6bo9bo68bo9bo$2bo3b3o10b2o60bo6bo9b
2o$3o15b2o62bo3b3o8b2o$80b3o3$19bo10bobo$18bo11b2o67bo10bobo$18b3o10bo
66bo11b2o$98b3o10bo5$19bo$15bob2o80bo$13bobo2b2o75bob2o$14b2o77bobo2b
2o$94b2o$3b3o$5bo77b3o$4bo80bo$84bo!

[BlinkerSpawn]

This works:

Code: Select all

rle

Nice! I reduced the cost by one glider and found a slightly different method that costs the same amount (9 gliders):

Code: Select all

rle 2

Neat! The 3G block synthesis was the first thing that popped into my mind but it wasn't compatible with the standard B + cleanup H synthesis and I didn't know other ways of creating the necessary H descendant.

[Extrementhusiast]

Here's 27P9.1:

Code: Select all

x = 292, y = 42, rule = B3/S23
116bobo62bo$116b2o61bobo$111bo5bo62b2o$112bo135bo$110b3o136b2o$114bo
24b3o43bobo60b2o3bo$10bobo101bobo24bo2bo36bo3b2o64b2o16bo$10b2o95bo6b
2o24bo2bo38b2o2bo65b2o7bo7bobo$bo9bo93bobo35b3o35b2o78bobo5b2o$2bo2bo
100b2o78bo37bobo34b2o$3o3b2o2bo163b2o9bo18b2o6b2o10b2o21b2o6b2o26b2o$
5b2o2bo135bo29bo9b3o17bo7bo11bo22bo7bo27bo$9b3o13b2obo16b2obo22bo6b2ob
o31b2obo27bobob2obo23bob2obo24bob2obo2bobo32bob2obo2bob2o24bob2o$25bob
2o16bob2o16bo3bobo6bob2o31bob2o11bobo14b2obob2o22b2obob2o23b2obob2o3b
2o5bobo23b2obob2o3bo2bo22b2obobo$63bobo4b2o31bo24b2o91b2o35b2o29bo$9bo
16b3o17b3o15b2o13b3o8bo12b2o9b3o12bo19b3o26b3o27b3o11bo28b3o33b3o$7b2o
16bo2bo16bo3bo28bo3bo7bobo9bobo4b2o2bo3bo26b2o2bo3bo20b2o2bo3bo21b2o2b
o3bo34b2o2bo3bo6b2o19b2o6b2o$8b2o15b2o17bob3o28bob3o8b2o17bo2bob2obo4b
o21bo2bob2obo20bo2bob2obo21bo2bob2obo8b2o24bo2bob2obo5b2o20bo2bob2obo$
43bo2bo29bo2bo31b2obobo5bobo21b2obo2bob2o19b2obo2bob2o20b2obo2bob2o4b
2o27b2obo2bob2o4bo21b2obo2bo$44b2o31b2o4b2o37b2o26b2o2bobo22b2o2bobo
23b2o2bobo5bo30b2o2bobo29b2o$7b3o17bo39b2o13bobo3b2o3bo60bobo15bo10bob
o27bobo40bobo$7bo18b2o24b2o12bobo14bo5b2obo62bo14bobo11bo22b4o3bo35b4o
3bo3bo$3b2o3bo17bobo23bobo13bo19bo3b3o19b2o7b2o46b2o7b2o25bo3bo38bo2bo
6b2o$2bobo47bo20bo41b2o6bobo25b3o20b2o4b2o28b2o48bobo$4bo19b2o22b2o23b
2o39bo8bo27bo23b2o$23bobo4bo16b2o23bobo6bo70bo21bo78b2o$25bo3b2o13b2o
3bo30b2o33b2o31b3o103b2o3b2o$29bobo11bobo34bobo32bobo32bo28bo73bo5bobo
$45bo69bo33bo28b2o79bo$178bobo27b2o2b2o$77b3o127bobob2o$79bo4bo124bo3b
o$78bo4b2o$83bobo37b2o$123bobo$123bo4$193b3o$195bo$194bo!

Not too rough, except for the final step, and partially the fourth. And here's the final step for a stator variant:

Code: Select all

x = 34, y = 22, rule = B3/S23
5bo$6bo$4b3o$13bo$12bo$12b3o2$23bo$23bobo$5b2o9bo6b2o$5b2o9bobo$10b3o
3b2o2b3o8b2o$10bo9bo10bobo$2o9bo9bo9bo$o2b2o$b2ob3o6bo$7bo4b2o$6b2o4bo
bo$2o2bo3b2o$o2bob2obo$2b2obo2bo$6b2o!

[chris_c]

Hexapole in 10 gliders from this soup:

Code: Select all

x = 29, y = 24, rule = B3/S23
24bo$23bo$2bo20b3o$obo8bo$b2o8b2o13b2o$10bobo13bobo$26bo$20b2o$19b2o$
21bo3$18b2o$17b2o$19bo2$4b2o20bo$3bobo19b2o$5bo19bobo$12b3o$14bo$13bo
12bo$25b2o$25bobo!

[muzik]

Is there a synthesis (or group thereof) that can create barberpoles of arbitrary length?

[BlinkerSpawn]

Hexapole in 10 gliders from this soup:

Code: Select all

x = 29, y = 24, rule = B3/S23
24bo$23bo$2bo20b3o$obo8bo$b2o8b2o13b2o$10bobo13bobo$26bo$20b2o$19b2o$
21bo3$18b2o$17b2o$19bo2$4b2o20bo$3bobo19b2o$5bo19bobo$12b3o$14bo$13bo
12bo$25b2o$25bobo!

The hive can be replaced by a glider:

Code: Select all

x = 26, y = 24, rule = B3/S23
21bo$20bo$20b3o$8bo$8b2o13b2o$7bobo13bobo$23bo$17b2o$16b2o$18bo3$15b2o
$14b2o$16bo2$23bo$3o19b2o$2bo19bobo$bo7b3o$11bo$10bo12bo$22b2o$22bobo!

EDIT: Lightbulb-and-cis-hook in 9:

Code: Select all

x = 41, y = 41, rule = B3/S23
35bo$33b2o$34b2o16$obo$b2o$bo$14bobo$15b2o$15bo2$18bobo$18b2o$19bo11bo
$29b2o$30b2o2$32bo$32b2o$31bobo2$11b2o7b2o$12b2o6bobo$11bo8bo$38b2o$
38bobo$38bo!

EDIT 2:

Code: Select all

x = 26, y = 26, rule = B3/S23
17bobo$17b2o$18bo5bo$23bo$23b3o3$10bo$9bo5bo$9b3o2b2o$14bobo5$bo$b2o
17b3o$obo17bo$21bo$14b2o$13b2o$15bo2$7b2o11bo$8b2o9b2o$7bo11bobo!

[Sokwe]

Is there a synthesis (or group thereof) that can create barberpoles of arbitrary length?

Go to Mark Niemiec's life page and find the pages for the various barberpoles. Then see if any of those are constructed by extending a shorter barberpole.

[chris_c]

The hive can be replaced by a glider

Thanks, well spotted.

[GUYTU6J]

Is there a synthesis (or group thereof) that can create barberpoles of arbitrary length?

There is a pattern named "barbershop" in jslife-interactions.

[mniemiec]

Hexapole in 10 gliders from this soup ...

The hive can be replaced by a glider: ...

Nice! This improves 17 syntheses of larger barber poles, and 49 additional syntheses involving pseudo barber poles.

Lightbulb-and-cis-hook in 9: ...

Nice. This doesn't quite work, as two of the B-heptomino-making gliders would have previously interacted, but it can be re-arranged to work, still with 9 gliders:

Code: Select all

x = 93, y = 29, rule = B3/S23
64bobo$65boo$65bo$48bo19bo$48bo19bo$48bo19bo$$37bo6b3o3b3o11b3o3b3o$
36bo$36b3o9bo19bo$48bo19bo$48bo19bo3$22bo$6bo8bo6bobo$7bo5boo7boobboo$
5b3o6boo10bobo$26bo$47boo18boo18boo$47bobbo16bobbo16bobbo$48b3o17b3o
17b3o$$19bo6boo20b3o17b3o17b3o$19boo5bobo18bo3bo15bo3bo15bo3bo$18bobo
5bo20bo3bo15bo3bo15bo3bo$bo46bobo17bobo17bobo$boo43bobobobo13bobobobo
13bobobobo$obo43boo3boo13boo3boo13boo3boo!

[gmc_nxtman]

Is this component known?

Code: Select all

x = 18, y = 9, rule = B3/S23
12bo$11bo$8bo2b3o$b2o4b2o7bo$o2bo3bobo5b2o$b2o12bobo$11b2o$b2o8bobo$b
2o8bo!

did I post this here before?

[mniemiec]

Is this component known? ...

It's new to me. The four gliders make a common block predecessor that can be used to add a block onto another object, to make a pseudo-object. There are many 4-glider ways to do this, and one 3-glider way, but this is the first one I am aware of using this mechanism, in which all the gliders come from behind the block. I will add it to my list.

The 4-glider mechanism can be replaced by the 3-glider equivalent:

Code: Select all

x = 47, y = 19, rule = B3/S23
7bo3bo$8boobobo$7boobboo29booboo$boo40bobo$obbo37bo3bo$boo38b4o$$boo
38boo$boo38boo8$27b3o$27bo$28bo!

[Gamedziner]

Is this component known?

Code: Select all

x = 18, y = 9, rule = B3/S23
12bo$11bo$8bo2b3o$b2o4b2o7bo$o2bo3bobo5b2o$b2o12bobo$11b2o$b2o8bobo$b
2o8bo!

did I post this here before?

You can actually make two at once:

Code: Select all

26bo$25bo$22bo2b3o$15b2o4b2o7bo$6bo7bo2bo3bobo5b2o$4bobo8b2o12bobo$5b2o18b2o$obo12b2o8bobo$b2o5bobo3bo2bo7bo$bo7b2o4b2o$4b3o2bo$6bo$5bo!

[BobShemyakin]

Is this component known?

Code: Select all

x = 18, y = 9, rule = B3/S23
12bo$11bo$8bo2b3o$b2o4b2o7bo$o2bo3bobo5b2o$b2o12bobo$11b2o$b2o8bobo$b
2o8bo!

did I post this here before?

You can actually make two at once:

Code: Select all

26bo$25bo$22bo2b3o$15b2o4b2o7bo$6bo7bo2bo3bobo5b2o$4bobo8b2o12bobo$5b2o18b2o$obo12b2o8bobo$b2o5bobo3bo2bo7bo$bo7b2o4b2o$4b3o2bo$6bo$5bo!

It is better by mniemiec (see before previous post):

Code: Select all

x = 128, y = 66, rule = B3/S23
46bo$47bo$45b3o4$4bo73bo3bo$2b2o75b2obobo$3b2o73b2o2b2o29b2ob2o$22b2o
48b2o40bobo$21bo2bo46bo2bo37bo3bo$obo19b2o48b2o38b4o$b2o$bo20b2o48b2o
36b4o$21bo2bo46bo2bo34bo3bo$22b2o48b2o35bobo$62b2o2b2o40b2ob2o$9b2o50b
obob2o$9bobo51bo3bo$9bo3$98b3o$98bo$99bo17$109bo$108bo$108b3o4$4bo43bo
3bo$2b2o45b2obobo$3b2o43b2o2b2o29b2ob2o35b2ob2o$22b2o18b2o40bobo37bobo
$21bo2bo16bo2bo37bo3bo35bo3bo$obo19b2o18b2o38b4o36b4o$b2o$bo20b2o18b2o
38b2o38b4o$21bo2bo16bo2bo36bo2bo37bo3bo$22b2o18b2o38b2o40bobo$88b2o2b
2o29b2ob2o$9b2o78b2obobo$9bobo76bo3bo$9bo3$68b3o$68bo$69bo!

Bob Shemyakin

[BobShemyakin]

Why not with the symmetry of O2. 103G->9G!!!

Code: Select all

x = 51, y = 34, rule = B3/S23
7$11bo$9bobo$10b2o2$13bobo$13b2o$14bo19bo$33bobo$14b2o3b3o12bobo$8bo4b
o2bo2bo11b2obo$9bo2bo2bo4bo13bob2o$7b3o3b2o17bobo$33bobo$14bo19bo$14b
2o$13bobo2$17b2o$17bobo$17bo!

Bob Shemyakin

[mniemiec]

Why not with the symmetry of O2. 103G->9G!!! ...

On 2015-01-05, Extrementhusiast posted an 18-glider symmetrical synthesis, but 9 gliders is still very impressive! Congratulations!

[Extrementhusiast]

Attach Silver's P5 to the vast majority of snake-like objects:

Code: Select all

x = 22, y = 16, rule = B3/S23
14bo$15bo$13b3o$obo$b2o13bo$bo9bo3bo$4b3o3bobo2b3o$6bo2bo2bo$5bo4b2o4$
13b2o$5b2o7bo3bob2o$4bobo6bo4b2obo$6bo6b2o!

[muzik]

That almost sounds like an advertisement lmao

[mniemiec]

Attach Silver's P5 to the vast majority of snake-like objects: ...

Yay! This should solve all the remaining unsolved p10s and Silver's p5s on my list up to 26 bits (which is as far as I've looked), plus improve a fair number of smaller ones. I'll elaborate more once I've looked at them all.

EDIT: The original mechanism took 10 gliders + the base object which had to be created simultaneously. This mechanism takes 11 gliders + the base object which can be created in any way desired, so it's an improvement in all cases, except those where the base object can be added for at most 1 extra glider over creating it alone. This appears to be true in all cases except the aircraft carrier, tail-first eater, and several similar eater-like objects, like tub w/tail.

I have 107 syntheses involving Silver's P5. This new mechanism solves 5 that previously had no syntheses, improves 87 of them, and there were 15 others that it does not improve (but does provide much-needed alternate syntheses that start with the base object.) There are none in my collection where this mechanism fails, or requires any modification.

EDIT: I one single case, a bipole on table where the bipole hangs below the snake, it takes 5 gliders to place the snake instead of 4. This would also apply to larger objects like tripoles, etc. It would also get slightly more complicated if the base object extended below and directly inducted the oscillator component - the snake would then need to be grown as part of the base object.

This mechanism will also enable syntheses of a few hitherto impossible variants, e.g. where one Silver's P5 attaches to another.

[BobShemyakin]

2 symmetric Cavity:

Code: Select all

x = 112, y = 41, rule = B3/S23
71bo$69bobo$70b2o5$63bo$64bo$62b3o6$92bo$86bo4bo$84bobo4b3o$85b2o$9bob
o$10b2o81b2o$10bo82bobo$79bo13bo14bo$12bo25bo41bo25b5o$10b2o26b3o37b3o
6b2o16bo5bo$11b2o28bo44bo2bo15bo2b2obo$20bo17b2obo44bobo15b2obo2bo$19b
2o13b2obo2bo46bo17bobo$o18bobo13bobo67bo2bo$b2o2bo5b2o22bo2bo39b2o26b
2o$2o3b2o3bo2bo22b2o39bobo$4bobo3bobo66bo2b3o$11bo70bo$83bo5$8b2o$7b2o
$9bo!

Bob Shemyakin

[mniemiec]

2 symmetric Cavity: ...

The first (great on-off) can be made from 5 gliders - teardrop plus traffic light plus one cleanup glider. The second (great on off siamese cover) would otherwise be quite difficult. Very nice!