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Herschel-less glider duplicator

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

Herschel-less glider duplicator

Postby calcyman » November 28th, 2017, 4:51 am

There is no good reason why this isn't already known:

x = 104, y = 116, rule = LifeHistory
53.2A$52.A.A$46.2A4.A$44.A2.A2.2A.4A$44.2A.A.A.A.A2.A$47.A.ABABAB$47.
A.AB2AB$48.AB.2B$51.3B$51.4B6.2A$49.3B2AB6.A$49.3B2AB3.BA.A$47.10B.B
2A$46.13B$45.14B$44.15B$.BC40.4B2.8B$CBCB38.4B5.6B$.2C2B36.4B4.9B$2.
4B34.4B5.2A4.4B$3.4B32.4B7.A5.4B$4.4B30.4B5.3A7.4B$5.4B28.4B6.A10.4B$
6.4B26.4B19.4B$7.4B24.4B21.4B$8.4B22.4B23.4B$9.4B20.4B25.4B$10.4B18.
4B27.4B$11.4B16.4B29.4B$12.4B14.4B31.4B$13.4B12.4B33.4B$14.4B10.4B35.
4B$15.4B8.4B37.4B$16.4B6.4B39.4B$11.A5.4B4.4B41.4B$11.3A4.4B2.4B43.4B
$14.A4.8B45.4B$13.2A5.6B47.4B$13.5B3.4B49.4B$15.3B2.6B49.4B$5.2A7.13B
49.4B$5.A8.8B2.4B49.4B$2.2A.A.B3.10B4.4B49.4B$2.A2.3AB.2B2A7B5.4B49.
4B$3.2A2.BA3B2A7B6.4B49.4B$5.4A12B7.4B49.4B$5.A.2B3.7B.B2A6.4B49.4B$
6.3AB2.7B.BA.A6.4B49.4B$9.A4.4B5.A7.4B49.4B$4.5A5.4B5.2A7.4B49.4B10.
2A$4.A10.4B14.4B49.4B9.A$6.A9.4B14.4B49.4B10.A$5.2A10.4B14.4B17.B24.
2A5.4B5.5A$18.4B14.4B15.3B24.A5.4B4.A$19.4B14.4B13.4B7.2A15.A.AB.7B2.
B3A$20.4B14.4B11.7B6.A16.2AB.7B3.2B.A$21.4B14.4B8.10B5.A.AB15.12B4A$
22.4B14.4B7.10B6.A.AB.B12.7B2A3BAB2.2A$23.4B14.4B5.12B6.A3B2A11.7B2A
2B.B3A2.A$24.4B14.4B3.15B3.3B.B2A11.10B3.B.A.2A$25.4B14.4B2.20B3.B11.
8B8.A$26.4B14.4B2.20B13.9B7.2A$27.4B14.4B.20B12.4B2.3B$28.4B12.26B11.
4B3.5B$29.4B11.25B11.4B7.2A$30.4B9.2A25B9.4B8.A$31.4B8.2AB.23B8.4B10.
3A$32.4B8.B3.15B3D5B6.4B13.A$33.4B12.14BDBD5B5.4B$34.4B12.13BD2BD4B4.
4B$35.4B10.16B2D4B3.4B$36.4B9.22B.5B$37.4B7.5B2.21B$38.4B5.4B5.21B$
39.4B3.4B7.21B$40.4B.4B9.21B$41.7B11.20B$42.5B13.18B$42.5B13.16B2A$
41.7B11.17B2A$40.4B.4B9.19B$39.4B3.4B7.19B$38.4B5.4B5.16B$37.4B7.4B4.
8BA6B$36.4B9.4B4.6BABA5B$35.4B11.4B3.7B2A5B$34.4B13.4B.16B$33.4B15.
20B$32.4B17.20B$31.4B19.21B$30.4B20.22B$29.4B21.21B$28.4B22.19B$27.4B
23.18B$26.4B22.2A17B$25.4B22.A.A18B$24.4B23.A4.17B$23.4B23.2A5.17B$
22.4B34.8B3.4B$21.4B39.4B4.4B$20.4B49.4B$19.4B51.4B$18.4B53.4B$17.4B
55.4B$16.4B57.4B$15.4B59.4B$14.4B61.4B$13.4B63.4B$12.4B65.4B$11.4B67.
4B$11.3B69.4B$11.2B71.4B$85.4B$86.4B$87.4B$88.3B!


EDIT: version with reduced bounding box (77-by-75) and recovery time (961), at the expense of slightly higher population:

x = 77, y = 75, rule = LifeHistory
44.2A$43.A.A$37.2A4.A$35.A2.A2.2A.4A$35.2A.A.A.A.A2.A$38.A.ABABAB$38.
A.AB2AB$39.AB.2B$42.3B$42.4B6.2A$40.3B2AB6.A$.BC37.3B2AB3.BA.A$CBCB
34.10B.B2A$.2C2B32.13B$2.4B30.14B$3.4B28.15B$4.4B26.4B2.8B$5.4B24.4B
5.6B$6.4B22.4B4.9B$7.4B20.4B5.2A4.4B$8.4B18.4B7.A5.4B$9.4B16.4B5.3A7.
4B$10.4B14.4B6.A10.4B$11.4B12.4B19.4B$12.4B10.4B21.4B$13.4B8.4B23.4B$
14.4B6.4B25.4B$9.A5.4B4.4B9.B17.4B$9.3A4.4B2.4B9.3B17.4B$12.A4.8B9.4B
7.2A9.4B$11.2A5.6B9.7B6.A10.4B$11.5B3.4B8.10B5.A.AB8.4B10.2A$13.3B2.
6B7.10B6.A.AB.B6.4B9.A$3.2A7.13B5.12B6.A3B2A.2A3.4B10.A$3.A4B4.8B2.4B
3.15B3.3B.B2A.A5.4B5.5A$2A.A.14B4.4B2.20B3.B2.A5.4B4.A$A2.3A4B2A7B5.
4B2.20B5.A.AB.7B2.B3A$.2A2.BA3B2A7B6.4B.20B6.2AB.7B3.2B.A$3.4A12B5.
26B8.12B4A$3.A.2B2.8B.B2A3.25B9.7B2A3BAB2.2A$4.3AB2.7B.BA.A.2A25B8.7B
2A2B.B3A2.A$7.A3.5B5.A.2AB.23B8.10B3.B.A.2A$2.5A5.4B5.A2.B3.15B3D5B6.
8B8.A$2.A10.4B3.2A7.14BDBD5B5.9B7.2A$4.A9.4B12.13BD2BD4B4.4B2.3B$3.2A
10.4B10.16B2D4B3.4B3.5B$16.4B9.22B.5B7.2A$17.4B7.5B2.21B8.A$18.4B5.4B
5.21B8.3A$19.4B3.4B7.21B9.A$20.4B.4B9.21B$21.7B11.20B$22.5B13.18B$22.
5B13.16B2A$21.7B11.17B2A$20.4B.4B9.19B$19.4B3.4B7.19B$18.4B5.4B5.16B$
17.4B7.4B4.8BA6B$16.4B9.4B4.6BABA5B$15.4B11.4B3.7B2A5B$14.4B13.4B.16B
$13.4B15.20B$12.4B17.20B$11.4B19.21B$10.4B20.22B$9.4B21.21B$8.4B22.
19B$7.4B23.18B$6.4B22.2A17B$5.4B22.A.A18B$4.4B23.A4.17B$3.4B23.2A5.
17B$2.4B34.8B3.4B$2.3B39.4B4.3B!
What do you do with ill crystallographers? Take them to the mono-clinic!
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Re: Herschel-less glider duplicator

Postby calcyman » November 28th, 2017, 5:44 am

The dual variant has a recovery time of 769, which is marginally less embarrassing than 961:

x = 85, y = 90, rule = LifeHistory
25.2A$25.A.A$27.A4.2A$2.4B17.4A.2A2.A2.A$3.4B16.A2.A.A.A.A.2A$4.4B17.
BABABA.A$5.4B17.B2ABA.A$6.4B17.2B.BA$7.4B15.3B$8.3BC5.2A6.4B$9.CBCB5.
A6.B2A3B17.B35.B$10.2C2B4.A.AB3.B2A3B16.3B33.2B$11.4B4.2AB.10B13.4B7.
2A23.3B$12.4B5.13B11.7B6.A22.4B$13.4B4.14B8.10B5.A.AB18.4B$14.4B3.15B
7.10B6.A.AB.B14.4B$15.4B4.8B2.4B5.12B6.A3B2A12.4B$16.4B3.6B5.4B3.15B
3.3B.B2A11.4B$17.4B.9B4.4B2.20B3.B11.4B$18.7B4.2A5.4B2.20B13.4B$19.5B
5.A7.4B.20B12.4B$19.5B6.3A3.26B11.4B$18.7B7.A3.25B11.4B$17.4B.4B9.2A
25B9.4B$16.4B3.4B8.2AB.23B8.4B$3.2A10.4B5.4B8.B3.15B3D5B6.4B$4.A9.4B
7.4B12.14BDBD5B5.4B$2.A10.4B9.4B12.13BD2BD4B4.4B$2.5A5.4B5.2A4.4B10.
16B2D4B3.4B$7.A4.4B5.A6.4B9.22B.5B$4.3AB2.7B.BA.A7.4B7.5B2.21B$3.A.2B
3.7B.B2A9.4B5.4B5.21B$3.4A12B12.4B3.4B7.21B$.2A2.BA3B2A7B13.4B.4B9.
21B$A2.3AB.2B2A7B14.7B11.20B$2A.A.B3.10B15.5B13.18B$3.A8.8B14.5B13.
16B2A$3.2A7.9B12.7B11.17B2A$13.3B2.4B10.4B.4B9.19B$11.5B3.4B8.4B3.4B
7.19B$11.2A7.4B6.4B5.4B5.16B$12.A8.4B4.4B7.4B4.15B$9.3A10.4B2.4B9.4B
4.14B$9.A13.8B11.4B3.14B$24.6B13.4B.16B$25.4B15.20B$24.6B15.20B$23.8B
15.21B$22.4B2.4B14.22B$21.4B4.4B13.21B$20.4B6.4B12.19B$19.4B8.4B11.
18B11.A$18.4B10.4B8.2A17B10.3A$17.4B12.4B6.A.A18B8.A$16.4B14.4B5.A4.
17B7.2A$15.4B16.4B3.2A5.3B2A12B3.5B$14.4B18.4B12.2A6B3.4B2.3B$13.4B
20.4B15.4B4.9B7.2A$12.4B22.4B23.8B8.A$11.4B24.4B23.10B3.B.A.2A$10.4B
26.4B22.7B2A2B.B3A2.A$9.4B28.4B21.7B2A3BAB2.2A$8.4B30.4B20.12B4A$7.4B
32.4B17.2AB.7B3.2B.A$6.4B34.4B15.A.AB.7B2.B3A$5.4B36.4B14.A5.6B2.A$4.
4B38.4B12.2A5.6B3.5A$3.4B40.4B6.A10.4B10.A$2.4B42.4B5.3A7.4B9.A$.4B
44.4B7.A5.4B10.2A$4B46.4B5.2A4.4B$3B48.4B4.9B$2B50.4B5.6B$B52.4B2.8B$
54.15B$55.14B$56.13B$57.10B.B2A$59.3B2AB3.BA.A$59.3B2AB6.A$61.4B6.2A$
61.3B$58.AB.2B$57.A.AB2AB$57.A.ABABAB$54.2A.A.A.A.A2.A$54.A2.A2.2A.4A
$56.2A4.A$62.A.A$63.2A!


I don't imagine these Herschel-less glider duplicators will be setting any records any time soon.

EDIT: p1298+8n gun

x = 123, y = 93, rule = B3/S23
56b2o$55bobo$49b2o4bo$47bo2bo2b2ob4o$47b2obobobobo2bo32b2o$50bobobobo
35bobo$50bobob2o38bo4b2o$51bo38b4ob2o2bo2bo$90bo2bobobobob2o$64b2o27bo
bobobo$55b2o7bo29b2obobo$55b2o5bobo33bo$62b2o$84b2o$85bo7b2o$85bobo5b
2o$86b2o25bo$111b3o$110bo$52b2o15b2o39b2o$49bo3bo15b2o$49b4o$118b2o$
49b2o45b2o21bo$49b2o45bo22bob2o$97b3o11b2o4b3o2bo$99bo11b2o3bo3b2o$48b
o67b4o$47bobo52b2o15bo$48bo52bobo12b3o$45b3o53bo13bo$45bo29b2o23b2o14b
5o$74bobo43bo$75bo42bo$118b2o5$9bo$9b3o$12bo$11b2o$85b2o$85bo$3b2o81b
3o$3bo84bo$2obo$o2b3o4b2o$b2o3bo3b2o$3b4o$3bo15b2o$4b3o12bobo34b2o$7bo
13bo14b2o18b2o$2b5o14b2o14bo$2bo32bo$4bo30b5o14b2o$3b2o35bo13bo$37b3o
12bobo$36bo15b2o$36b4o$34b2o3bo3b2o$33bo2b3o4b2o$33b2obo$36bo$36b2o$
61bo$61b3o$44b2o9b2o7bo$45bo9bobo5b2o$42b3o10bo$40b3o$39bo$39b2o3$73b
2o$66b2o5bobo$66b2o7bo$75b2o$29b2o$28bobo5b2o24bo$28bo7b2o23bobob2o$
27b2o32bobobobo$58b2obobobobo2bo$41bo16bo2bo2b2ob4o$37b2obobo17b2o4bo$
36bobobobo23bobo$33bo2bobobobob2o21b2o$33b4ob2o2bo2bo$37bo4b2o64bo$35b
obo71bo$35b2o70b3o!
What do you do with ill crystallographers? Take them to the mono-clinic!
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Re: Herschel-less glider duplicator

Postby Gamedziner » November 28th, 2017, 7:47 am

Still-life reduction:
x = 13, y = 8, rule = LifeHistory
2.2A$2.A.A$4.A$4A.2A$A2.A.A.A.2A$3.A.A.A.A$4.2A.A.A$8.A

EDIT: Never mind, it seems this doesn't work.:oops: (Thanks, Saka, for pointing this out!)
Last edited by Gamedziner on November 28th, 2017, 5:48 pm, edited 1 time in total.
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Re: Herschel-less glider duplicator

Postby dvgrn » November 28th, 2017, 8:09 am

calcyman wrote:There is no good reason why this isn't already known...

Very nice! The known century conduits in the Elementary Conduits Collection are getting a little more exercise recently. Yes, someone should have tried replacing that century eater a little sooner -- the old bistable switch seems to have gotten obscured in collective Lifenthusiast memory by the Silver reflector, and then the Snark I suppose.

Gamedziner wrote:Still-life reduction:
x = 13, y = 8, rule = LifeHistory
2.2A$2.A.A$4.A$4A.2A$A2.A.A.A.2A$3.A.A.A.A$4.2A.A.A$8.A

I seem to recall this apparent improvement has been posted before somewhere. Try it out in an actual Snark:

x = 23, y = 52, rule = LifeHistory
9.A$9.3A$12.A$11.2A$11.5B3.C$13.3B3.C.C$3.2A7.4B3.2C$3.A4B4.4B$2A.A.
14B$A2.3A4B2A7B$.2A2.BA3B2A7B$3.4A12B$3.A.2B2.8B.B2A$4.3AB2.7B.BA.A$
7.A3.5B5.A$4.3A5.4B5.2A$4.A7.5B$14.4B$15.4B$16.4B$17.4B$18.4B9$9.A$9.
3A$12.A$11.2A$11.5B3.C$13.3B3.C.C$3.2A7.4B3.2C$3.A4B4.4B$2A.A.14B$A2.
3A4B2A7B$.2A2.BA3B2A7B$3.4A12B$3.A.2B2.8B.B2A$4.3AB2.7B.BA.A$7.A3.5B
5.A$2.5A5.4B5.2A$2.A9.5B$4.A9.4B$3.2A10.4B$16.4B$17.4B$18.4B!

So far it seems like every bit in the Snark catalyst has a purpose, even those unlikely ones off in the corner.
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