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Slow salvo seeds

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

Re: Slow salvo seeds

Postby FractalFusion » March 20th, 2016, 6:22 pm

Some slow salvo seeds (of unknown usefulness) for beehive with tail. The rightmost one adds a tail to anything but is somewhat messy.
x = 349, y = 181, rule = LifeHistory
243.D$243.2D$243.2DB$243.2D2B$244.4B$245.4B$246.4B$247.4B$248.4B$249.
4B$250.4B$251.4B$252.4B$253.4B$254.4B$255.4B$256.4B$257.BA2B8.4B$257.
2BA2B6.6B$257.3A3B4.7B$258.6B2.10B$259.19B$260.20B.B$261.16B2A4B3.3B$
262.14BA2BA9B$263.13BABA11B$264.13BA13B$264.27B$264.26B2D$264.15B2D9B
2DB$264.15B2D14B$265.30B$265.13BA16B$264.13BABA15B$263.14BA2BA13B$
264.14B2A9B2.B$269.16B2DB$270.15BD2B$271.11B2DBDB$272.9BD2BD2B$274.7B
A2D2B$275.5BABAB$275.4BA.BAB$276.4B2AB$277.B.4B11$241.D$241.2D$241.2D
B$241.2D2B$242.4B$243.4B$244.4B$245.4B$246.4B$247.4B$248.4B$249.4B4.A
$250.4B2.2BA$251.4B.3AB$252.4B.4B$253.4B.4B$254.4B.4B$255.4B.4B$256.
4B.4B$257.4B.4B$258.4B.4B$259.4B.4B$260.4B.4B$261.4B.4B$262.8B$263.7B
$263.3BA4B$263.2BABA3B4.B$264.A2BA10B$263.2B2A3BA7B$263.7BA8B$264.6BA
4B2D2B$265.4B3D4BD3B$266.10BD.DC$269.6B2.DBAD$270.5B3.DC$271.3B$272.B
8$76.2B$.A74.4B$2BA62.A8.7B$3AB60.2BA7.8B113.A$.4B59.3AB3.2B2.6B113.
2BA$2.4B59.4B.12B39.5B68.3AB$3.4B8.2B48.17B38.6B7.3B59.4B$4.4B7.2BAB
45.17B.B30.A6.7B6.4B59.4B$5.4B5.2BABAB44.20B28.2BA4.9B4.11B54.4B$6.4B
.3B.BABAB43.3B2D18B26.3AB2.12B.12B55.4B$7.10BA2B44.3BD18B27.4B.26B55.
4B$8.12B44.3BDB2D15B28.30B53.7B$9.11B44.4BD2BD13B.B27.19B2A9B52.9B.2B
$5.B.2B.11B44.4B2D18B24.20B2A9B52.12B$4.16B45.19B2A3B25.29B52.3BD10B$
3.17B46.17BA2BAB26.8BD20B51.3BDBD10B$3.15B2A46.18B2A2B27.5B3D19B52.3B
DBD13B$2.16B2A46.12B2A7B28.4BD20B53.5BD15B$2.19B46.2B2A2B.3BA2BAB34.
2BDBD18B52.3B2D8B2A8B$4.17B47.B2A2B3.2B2A37.BDBD10BA4B.B52.4BD8BA2BA
7B$4.2B.14B48.2B5.3B39.BD11BA4B54.B2DBD9BABA6B$7.13B57.B41.12BA3B55.D
2BD11BA6B$6.16B98.4B2A8B57.2D18B$6.8BD7B99.2BA2BA7B59.16B$7.6BDBD4B2A
B98.2BD2A2B.4B62.14B$8.5BDBD4B2AB99.B2D2B71.BA5B3A2B$7.7BD7B102.2B72.
BA10B$6.5B3D7B178.A2.6B$7.4BD8B184.4B128.2B$7.10B189.B128.4B$9.6B317.
7B$11.B319.8B$331.8B3.2B$331.14B$331.17B$332.16B$332.16B$332.3BD12B$
332.3BD12B$332.3BD12B$330.18B$325.A3.19B$15.2B307.2BA2.18B$15.2BAB
305.3AB2.16B$14.2BABAB305.4B2.13B$11.3B.BABAB306.19B$10.7BA2B307.18B$
9.11B305.2D20B$9.11B303.2BDBD20B$5.B.2B.11B301.4BD22B$4.16B96.A74.A
130.26B$3.17B95.2BA72.2BA128.27B$3.10B3A3B.B94.3AB71.3AB127.27B$2.11B
A7B95.4B71.4B125.5B2D19B$2.11B3A5B96.4B71.4B125.4B2D10B2D7B$4.17B97.
4B71.4B124.6B.B.7B2D8B$4.2B.14B98.4B71.4B126.2B4.5B2A6BD2AB$7.13B100.
4B71.4B8.A8.DB113.4B2A5BDADBA$6.16B99.4B71.4B6.BAB6.DBDB114.9BDABAB$
6.8BD7B100.4B71.4B6.A.BD4.DBD2B115.9BA2B$7.6BDBD4B2AB100.4B71.4B6.3D
4.BD3B118.8B$8.5BDBD4B2AB101.4B71.4B4.D3B4.6B117.2BD5B$7.7BD7B103.4B
71.6BD.D13B116.3D5B$6.5B3D7B104.4B72.5BDBD13B115.C3.3B$7.4BD8B104.4B
72.7BD14B114.C.C$7.10B105.3BA3B71.10BA10B115.C.C$9.6B107.2BABA3B68.
11BABA9B116.C$11.B108.3BADBAD3B65.12BA2BA9B$119.5B2AD4B6.B57.14B2A10B
$120.11B5.4B55.26B$122.19B54.25B$124.4B2A11BD54.22B$127.A.BA8BC2D54.
21B$128.ABA7BCBAB54.17B3AB$129.A7BDADBAB54.13B.6B$130.7BDBCAB57.10B4.
3B$131.7BD3B57.8B7.B$131.10B58.5B$132.6B.2B58.5B$133.4B63.4B$133.3B
65.2B!

Results from a C++ (LifeAPI) program that generates collisions of 3sL (from a set of 9) within a 20x20 box with a glider.
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Re: Slow salvo seeds

Postby BlinkerSpawn » March 22nd, 2016, 10:05 pm

A not-so-good century seed:
x = 12, y = 12, rule = LifeHistory
.A$2.A$3A3$8.A$8.A$2.2A4.A$2.2A6.2D$11.D$9.D.D$9.2D!
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Re: Slow salvo seeds

Postby gmc_nxtman » April 24th, 2016, 6:32 pm

A 5-SL seed for the gourmet catalyst variant:

x = 35, y = 36, rule = LifeHistory
29.2B$27.6B$26.7B$26.8B$24.10B$24.5BD2C3B$23.B2D3BE2BEB$19.5B2D3BE2BE
2B$19.11B2E2B$18.3E7B2D4B$18.9BDBD4B$7.2B9.9BD6B$5.8B2.3B.7B2D6B$5.
20BD9B$5.11B2E8B2D6B$3.13B2E9BD6B$2.24BD6B$2.14BC10B3D3B$3.13B2C11BD
3B$2.13BCBC15B$.22BE9B$.22BE8B$23BE8B$7B2D23B$.2BD3B2D22B$.BDBD27B$.B
DBD27B$2.BD28B$2.29B$5.12B2E11B$5.11BE2BE8B$6.11BEBE8B$8.2B2D6BE8B$
10.2D9B.3B$13.7B$18.B!


A 3-SL seed for a table-on-table:

x = 6, y = 17, rule = LifeHistory
3.A$2.A.A$3.A6$.A.A$2.2A$2.A2$3.2A$3.A.A$4.2A$2A$2A!


EDIT: A cheap seed for a catalyst that can be used in F116:

x = 27, y = 19, rule = B3/S23
bobo$2b2o$2bo5$3o2$25b2o$18b2o5b2o$17bo2bo$10b2o6b2o$10b2o4$b2o$b2o!


And a very good start to a seed to the eater-bridge-eater catalyst:

x = 21, y = 9, rule = LifeHistory
10.A$10.A$10.A2$A5.3A3.3A$A16.3A$A9.A6.A2.A$10.A8.2A$10.A!
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Re: Slow salvo seeds

Postby dvgrn » April 27th, 2016, 8:41 am

gmc_nxtman wrote:EDIT: A cheap seed for a catalyst that can be used in F116:

x = 27, y = 19, rule = B3/S23
bobo$2b2o$2bo5$3o2$25b2o$18b2o5b2o$17bo2bo$10b2o6b2o$10b2o4$b2o$b2o!

It's even better without the block on the right -- that way there's no output glider to catch:

x = 38, y = 25, rule = LifeHistory
21.2B$21.3B$20.8B$20.9B$13.ABA5.11B$7.B5.B2AB4.12B$6.3D.2B2.A20B$4.9B
.21B$3.18BD15B$2.18BDBD7B3D5B$.D8BD9BD2BD13B$DBD6BDBD3A6B2D13B$DBD6BD
BD25B$.D5BDBDB3D23B$2.5B2D5BD15B2A5B$2.11B2D13B.AB.A3B$4.B2.15B2A4B2.
2AB.B$7.11B2.2B2A3B$7.8B4.8B$7.6B6.8B$8.7B5.7B$13.2A6.6B$13.2A6.5B$
22.3B$23.B!

In practice it's not quite good enough to turn the F116 into something we can just add to the "build and forget" list in an almost-Spartan compiler script. There's a leftover beehive that has to be converted into a block after the reaction, That will work fine for this orientation, with all slow gliders coming from the same direction as the trigger glider. But it will be a (solvable) custom design headache for some other orientations.

Probably more important, this reaction can build a standalone F116 conduit without much trouble, but when you connect the output to other conduits in a real self-constructing system, you'll often get more build-order headaches. Here it is superimposed on F117+F116+F117 -- the partly-red eater on the right is unfortunately in the danger zone, so it has to be built after the F116 construction, carefully, with reduced clearance to work with:

x = 125, y = 39, rule = LifeHistory
54.A41.2A$54.3A39.A.A$57.A28.A11.A$56.2A4.2B22.3A9.2A$52.B3.8B25.A9.B
$24.2A24.4B4.7B11.2A10.2A9.3B$24.A.A22.6B.9B12.A10.5B5.6B16.5B$14.A
11.A22.6B.10B11.A.AB9.4B3.10B11.7B$14.3A9.2A20.19B11.2AB.3B4.6B2.11B
3.2B2.10B$17.A9.B19.19B14.7B.13B2A15BD6B$4.2A10.2A9.3B17.17B16.21B2A
15BDBD4B$5.A10.5B5.6B16.15B18.37B3D4B$5.A.AB9.4B3.10B11.17B17.40BD4B$
6.2AB.3B4.6B2.11B3.2B2.22B13.46B$8.7B.13B2A15BD21B3.2B2.19B.B3.13B.4B
$8.21B2A15BDBD4B.24B.13B7.7B.B4.4B$9.37B3D4B2.16B2A5B.B.4B.6B19.4B$8.
40BD4B2.16B2A5B3.4B2.B.5B$6.46B4.24B.4B7.2C$4.18B.B3.13B.4B10.30B7.C$
4.2BD13B7.7B.B4.4B12.29B8.3D$3.3BDBD4B.6B19.4B13.20B2.2B2A3B10.D$4.2B
3D4B2.B.5B34.24B2A4B2.2AB.B$3.5BD4B7.2A33.16B2D13B.AB.A3B$2.10B8.A35.
9B2D5BD15B2A5B$.4B16.3A34.BD5BDBDB3D23B$4B19.A33.BD.D6BDBD25B$58.D.D
6BDBD3A6B2D13B$59.D8BD9BD2BD13B$60.18BDBD7B3D5B$61.18BD15B$62.9B.21B$
64.3D.2B2.A20B$65.B5.B2AB4.12B$71.ABA5.11B$78.9B$78.8B$79.3B$79.2B!

There are similar problems for a following F116, F166, F177, Fx77, Fx119, L112, L156, etc. -- everything I checked would create build-order problems, in fact, except for the R64, and for that one you'd have to add another R64, or you'd probably still have build-order headaches for the following conduit.

There could certainly be specific cases where this recipe would be very useful, though. It just seems like it will need human case-by-case analysis rather than an automated compiler to figure that kind of thing out.

Or... actually the right approach is probably to consider different orientations of these larger still lifes to be completely different objects, requiring different recipes. Then a fully automatic compiler could probably be set up to handle this recipe just fine, including its constraints on the build order. It would just be a slightly weird compiler: it would work on circuitry that includes F116 conduits in two specific orientations, but would fail if asked to compile F116s in the other six orientations.
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Re: Slow salvo seeds

Postby simeks » May 8th, 2016, 2:42 pm

Super compact Eater2 seed from this soup, with some custom searching:

x = 19, y = 16, rule = LifeHistory
15.E$15.E$15.E3$13.2E$13.2E2.2E$17.2E2$7.2C4.C$7.2C4.C$13.C$16.2E$3A
5.2C6.2E$2.A5.C.C$.A7.2C!

EDIT: And a slow salvo for the last three objects:

x = 378, y = 382, rule = LifeHistory
373.3C4$372.2C$372.2C2.2C$376.2C3$368.3A2$375.2C$375.2C23$336.3A$338.
A$337.A50$288.2A$289.2A$288.A54$240.3A$242.A$241.A37$192.3A$194.A$
193.A47$144.3A$146.A$145.A46$96.2A$97.2A$96.A50$48.3A$50.A$49.A46$3A$
2.A$.A!
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Re: Slow salvo seeds

Postby calcyman » May 21st, 2016, 11:59 am

dvgrn wrote:At least one other seed can also be translated into a six-object eater2 constellation with very little spark around the eater2, in three directions anyway. This one's component objects are surprisingly far apart from each other, and again a convenient block target is left nearby:

x = 82, y = 36, rule = LifeHistory
62.A$61.A.A$62.2A5$58.2A$14.2A42.2A$14.2A4$A.A47.A.A$.2A19.A28.2A19.A
$.A20.A28.A19.BAB$22.A49.A6$4.A49.A$3.A.A47.A.A$3.A.A47.A.A$4.A49.A3$
29.A49.A$13.2A13.DA2D31.2A13.DA2D$13.2A11.3DA2D31.2A11.3DA2D$25.D49.D
$26.3D.2D44.3D.2D$26.2AD.D45.2AD.D$25.A.AD.D44.A.AD.D$26.A2.D46.A2.D!


Perhaps it should be mentioned that this can be used to complete a syringe (apart from the last block):

x = 65, y = 62, rule = LifeHistory
40.A$40.3A$27.2A3.2A9.A17.A$26.B2AB.B2AB7.2A15.3A$27.2B2.3B3.B4.4B12.
A$28.3B.3B.4B4.3B11.2A$20.2A5.7B.13B11.B$21.A5.23B9.3B$21.A.AB.19B.8B
4.6B$22.2AB.29B2.8B$24.41B$24.37B2A2B$24.37B2A2B$25.40B$27.38B$25.40B
$25.2A3.25B4.6B$26.A3.20B4.B4.6B$23.3A6.15B7.2A$23.A8.11B12.A$31.13B
8.3A$30.15B7.A$30.16B$30.17B$30.16B$32.13B$31.4B.2B2A5B$30.4B2.2B2A3B
$29.B2AB2.8B$29.2BA4.8B$28.3A5.8B$28.AB7.7B$37.7B$26.A2.D7.6B$25.A.AD
.D6.6B$26.2AD.D6.5B$26.3D.2D4.6B$25.D4.B.B4.6B$13.2A11.3DA2D2B2.7B$
13.2A13.DA2D10B$29.A2.10B$32.6B2A3B$32.6B2A2B5.2A$4.A27.10B5.A$3.A.A
25.11B2.BA.A$3.A.A25.12B.B2A$4.A25.15B$29.16B$22.2D2.2B.16B$22.2D.2D
18B$22.2D.2DB.17B$26.B.4B.8B2.4B$22.A10.7B4.4B$.A20.A11.6B5.4B$.2A19.
A13.4B6.4B$A.A35.3BA5.4B$39.BA.A5.4B$40.A.A6.4B$41.A8.4B$14.2A26.3A6.
4B$14.2A28.A7.4B$53.4B!


Shown in red are the three acceptable ways to add the final block to complete the syringe.

I'm thinking of making an almost-Spartan (apart from the hive-with-tail) 'self-completing syringe', where the first glider to pass through the device synthesises the remainder of the syringe:

x = 83, y = 84, rule = LifeHistory
12$53.A$53.3A$40.2A3.2A9.A17.A$39.B2AB.B2AB7.2A15.3A$40.2B2.3B3.B4.4B
12.A$41.3B.3B.4B4.3B11.2A$33.2A5.7B.13B11.B$34.A5.23B9.3B$34.A.AB.19B
.8B4.6B$35.2AB.29B2.8B$37.41B$37.37B2A2B$37.37B2A2B$38.40B$40.38B$38.
40B$38.2A3.25B4.6B$39.A3.20B4.B4.6B$36.3A6.15B7.2A$36.A8.11B12.A$44.
13B8.3A$43.15B7.A$43.16B$43.17B$43.16B$45.13B$44.4B.2B2A5B$43.4B2.2B
2A3B$42.B2DB2.8B$41.3BD4.8B$40.B3D5.8B$39.2BDB7.7B$38.4B8.7B$37.2BDB
9.6B$36.2BDBD9.6B$35.4B2D9.5B$34.4B11.6B$33.4B6.B.B4.6B$26.2A4.4B6.D
2A2B2.7B$26.2A3.4B7.D2A10B$30.4B8.D2.10B$29.4B12.6B2A3B$28.4B13.6B2A
2B5.2A$17.A9.4B14.10B5.A$16.A.A8.3B14.11B2.BA.A$16.A.A25.12B.B2A$17.A
25.15B$42.16B$35.2D2.2B.16B$35.2D.2D18B$35.2D.2DB.17B$39.B.4B.8B2.4B$
35.D10.7B4.4B$14.D20.D11.6B5.4B$14.2D19.D13.4B6.4B$13.D.D35.3BA5.4B$
52.BA.A5.4B$53.A.A6.4B$54.A8.B3A$27.2A26.3A6.A3B$27.2A28.A7.A3B$66.4B
!
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Re: Slow salvo seeds

Postby simsim314 » July 2nd, 2016, 1:05 pm

Following this, looks like eater3 is now in realm of buildable objects. Here is a recipe that needs only two synchronized gliders:

x = 53, y = 56, rule = B3/S23
3$37b2o$37b2o5$41bo$41bobo$41b2o4$28b2o$28b2o3$26b2o$26b2o7b2o$22b2o
11b2o$22b2o15bo$38bobo$39b2o4$27b2o$27b2o$10b2o$10b2o18bo$29bobo$30b2o
$16b3o$18bo$17bo!
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Re: Slow salvo seeds

Postby dvgrn » July 2nd, 2016, 1:13 pm

simsim314 wrote:Following this, looks like eater3 is now in realm of buildable objects. Here is a recipe that needs only two synchronized gliders...

Not too bad! That puts Calcyman's rectifier within reach of slow-salvo construction -- though eater3s are still going to be enough more expensive than eater2s, that I suspect a boojum reflector will end up being cheaper to construct, in most orientations, for most purposes.

(It will be a pretty expensive to drop in the loaf behind the main still life, when the construction gliders are coming from the other side, because the seed's active reaction uses a fairly large area on that side.)
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Re: Slow salvo seeds

Postby simsim314 » July 2nd, 2016, 1:57 pm

The only advantage of rectifier over the boojum is faster recovery. It might turn out critical sometimes... but generally I agree... eater3 is not such missing component. It would be nice to have syringe huge SL in constructable range, I think this is the most missing SL to construct.
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Re: Slow salvo seeds

Postby simeks » July 16th, 2016, 6:24 pm

gmc_nxtman wrote here

gmc_nxtman wrote:Way too cramped eater2 recipes:

x = 44, y = 20, rule = LifeHistory
12.2A$11.A2.A22.A$12.2A22.A.A$36.A.A$37.A$41.2A$40.A2.A$8.2A31.2A$7.A
2.A24.2A$8.A.A24.2A3.A$5.A2.3A28.A.A$4.A.A32.A.A$2A2.A.A32.A.A$2A3.A
34.A3$41.2A$41.2A$13.2A$13.2A!

Here is a pretty nice slow-salvo seed based on the first pattern. It can be built from two directions:

x = 68, y = 19, rule = LifeHistory
3.2A46.2A$2.A.A45.A.A$3.A47.A13.C$65.C.C$65.2C$9.A47.A$8.A.A45.A.A$8.
A2.A44.A2.A$9.2A46.2A$5.A11.2C34.A$4.A.A10.C.C32.A.A$2A2.A.A10.C30.2A
2.A.A$2A3.A42.2A3.A5$13.2A46.2A$13.2A46.2A!
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Re: Slow salvo seeds

Postby dvgrn » July 16th, 2016, 7:24 pm

simeks wrote:Here is a pretty nice slow-salvo seed based on the first pattern. It can be built from two directions...

Wow -- an eater2 from just five still lifes is pretty darn good.

This is a syringe-friendly variant of the eater2 -- the table support is one cell farther away than normal, from the fishhook eater that is needed nearby. That will make it easier to build the fishhook eater after the eater2, since unfortunately this seed can't quite build the eater first:

x = 22, y = 23, rule = LifeHistory
6.2D$7.D$4.3D3.B$4.D3.2A.B6.2B$7.B2A.B6.B.B$6.2D4.B4.B.AB$4.2BD6.3B.B
A.AB$2.DBD.D2.2A5.B2.2AB$.D.2D.2DA2.A9.B$.D7.2A9.B$.B3D.2D11.B$B3.D.
2D5.2A3.B$.B10.A2.A2.B$.B10.A.A4.B$B12.A5.B$B18.B$.B2A15.B$2.2A$4.2B
2$16.3A$16.A$17.A!
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Re: Slow salvo seeds

Postby simsim314 » July 17th, 2016, 2:44 am

You can clean the ash with single glider:

x = 128, y = 66, rule = LifeHistory
4$45.C$45.C.C$45.2C8$89.3B$87.6B$19.3B64.8B2.4B$17.6B63.15B$16.8B2.4B
58.13B$16.15B2.DB55.11B$18.13B.BDBD53.10BAB2.B$20.13B2D54.9BABA2B3A$
19.10BA5B54.9BABA3B.B$19.9BABA2B3A52.11BA6B$19.9BABA5B50.17B2DB$18.
11BA6B49.18BDBD$16.20B50.12B2A3BDB$15.19B52.12B2A3B$16.12B2A4B53.BA2B
AB2A8B$16.12B2A3B55.4AB2A6B$17.BA2BAB2A8B56.13B$18.4AB2A6B58.B2AB2A7B
$19.13B58.BABA7B$19.B2AB2A7B58.A2BA7B$20.BABA7B60.2A7B$20.A2BA7B63.B
2.2B$21.2A7B$24.B2.2B3$116.3C$116.C$117.C!
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Re: Slow salvo seeds

Postby simsim314 » July 24th, 2016, 4:55 am

Eater4 slow salvo friendly (based on this):

x = 33, y = 33, rule = B3/S23
11b3o2$9bo5bo$4b2o3bo5bo15bo$3bobo3bo5bo14bo$3b2o25b3o$11b3o3$2b3o$12b
2o$o5bo6bo$o5bo3bo$o5bo3b2o2$2b3o3$20b2o$20b2o$18b2o$18b2o9$4b2o$3bobo
$5bo!
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Re: Slow salvo seeds

Postby simsim314 » July 24th, 2016, 11:13 am

eater2 predecessors that could be helpful:

x = 51, y = 12, rule = B3/S23
6b2o$6b2o$2o12bo33bo$2o11bobo31b2o$14b2o30b2o$42b3o2bo2bo$47bo2bo$7b2o
38bo2bo$5bob2o39b2o$8b2o$16b2o$16b2o!
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Re: Slow salvo seeds

Postby simeks » July 24th, 2016, 12:12 pm

simsim314 wrote:eater2 predecessors that could be helpful:

x = 51, y = 12, rule = B3/S23
6b2o$6b2o$2o12bo33bo$2o11bobo31b2o$14b2o30b2o$42b3o2bo2bo$47bo2bo$7b2o
38bo2bo$5bob2o39b2o$8b2o$16b2o$16b2o!

I reported the left one here (second code box) with two ways to generate that spark.

From what I remember from going through a lot of the soups in Catagolue that produce a canonical eater2, some 80 to 90% actually come from the right predecessor.
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Re: Slow salvo seeds

Postby gmc_nxtman » July 25th, 2016, 7:25 pm

Kazyan wrote:On a more useful note, I think it may be worth finding seeds that function as components--for example, adding a tail to an object. These catalysts would be easier to use, if cheap tail-adding seeds were found:

x = 19, y = 10, rule = B3/S23
2o8b2o$obo7b2o3bo$2bo11bobo$2b2o11bobo$17bo$2b2o13b2o$2bobo$3bo$3o$o!


Here is a possible way to convert an eater into an integral (found via catagolue):

x = 25, y = 9, rule = B3/S23
18bo$12b2o3bobo$11bo2bo3b2o$12b2o$23b2o$22bobo$2bo19bo$3o18b2o$bo!


And let's not forget the amazing one-beehive component that turns an eater into a 22-cell SL:

x = 5, y = 17, rule = B3/S23
3b2o$4bo$b3o$bo7$obo$b2o$bo2$2b2o$bo2bo$2b2o!


EDIT: Is there a (slow-salvo) eater-to-hat converter? If there is, a slow construction of the snark might be possible:

x = 561, y = 236, rule = LifeHistory
498.2A$F111.F111.F111.F49.2A60.F49.A61.F$F111.F111.F49.A61.F50.A60.F
51.A59.F$F111.F46.2A63.F47.3A61.F47.3A61.F47.5A59.F$F47.A63.F46.A64.F
46.A64.F46.A64.F46.A64.F$F47.3A61.F47.3A61.F47.3A61.F47.3A61.F47.3A
61.F$F50.A60.F50.A60.F50.A60.F50.A60.F50.A60.F$F47.4A60.F47.4A60.F47.
4A60.F47.4A60.F47.4A60.F$F47.A3.2A58.F47.A3.2A58.F47.A3.2A58.F47.A3.
2A58.F47.A3.2A58.F$F48.3A2.A57.F48.3A2.A57.F48.3A2.A57.F48.3A2.A57.F
48.3A2.A57.F$F50.A.2A57.F50.A.2A57.F50.A.2A57.F50.A.2A57.F50.A.2A57.F
$F50.A60.F50.A60.F50.A60.F50.A60.F50.A60.F$F49.2A60.F49.2A60.F49.2A
60.F49.2A60.F49.2A60.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F
111.F111.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F
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111.F111.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F
111.F111.F111.F111.F111.F$F111.F111.F111.F49.C61.F111.F$F111.F111.F
111.F49.2C60.F111.F$F111.F47.C63.F111.F48.2C61.F111.F$F111.F46.2C63.F
111.F111.F111.F$F111.F47.2C62.F111.F111.F111.F$F74.2A35.F111.F111.F
111.F111.F$F74.2A35.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$
F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F46.2A63.F$F111.F111.F
111.F111.F45.B3A62.F$F111.F111.F111.F44.A66.F45.3BACA60.F$F111.F111.F
111.F43.A.A65.F43.4B2DABA59.F$F111.F52.A58.F111.F43.A.A65.F43.B2D2BCD
BA59.F$F111.F51.A.A57.F111.F44.A66.F44.2DAB2ABA59.F$F111.F51.A.A57.F
111.F111.F45.A3B2A60.F$F60.2A49.F52.A58.F111.F111.F46.3A5.2A55.F$F47.
A11.A2.A48.F111.F111.F43.A67.F46.2A5.A2.A54.F$F46.A.A11.2A49.F111.F
111.F42.A.A66.F53.A2.A54.F$F47.A63.F53.A57.F111.F43.2A66.F54.2A55.F$F
111.F52.A.A56.F111.F111.F49.2A60.F$F111.F52.2A57.F111.F49.A61.F50.A4.
A55.F$F111.F111.F111.F47.3A61.F47.3A4.2A55.F$F111.F47.A63.F111.F46.A
64.F46.A64.F$F111.F47.3A61.F111.F47.3A61.F47.3A61.F$F53.A57.F50.A60.F
111.F50.A60.F50.A60.F$F52.A.A56.F47.4A60.F48.3A60.F47.4A60.F47.4A60.F
$F53.A2.2A53.F47.A3.2A58.F47.A3.A59.F47.A3.2A58.F47.A3.2A58.F$F56.A.A
52.F48.3A2.A57.F51.A59.F48.3A2.A57.F48.3A2.A57.F$F56.A54.F50.A.2A57.F
50.A60.F50.A.2A57.F50.A.2A57.F$F111.F50.A60.F49.A61.F50.A60.F50.A60.F
$F111.F49.2A60.F111.F49.2A60.F49.2A60.F$F111.F111.F49.A61.F111.F111.F
$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F111.F111.F
111.F111.F111.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F
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111.F111.F111.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F
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111.F111.F111.F$F111.F111.F111.F111.F111.F$F74.2A35.F111.F111.F111.F
111.F$F74.2A35.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F111.
F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.
F111.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F111.F
111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F111.F111.F111.F111.F
111.F$F55.A55.F111.F111.F111.F111.F$F55.A55.F111.F111.F111.F111.F$F
55.A55.F111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F65.3C43.F
111.F111.F111.F111.F$F111.F111.F111.F111.F111.F$F63.C5.C41.F111.F111.
F111.F111.F$F55.A7.C5.C41.F111.F111.F111.F111.F$F54.A.A6.C5.C41.F111.
F111.F111.F111.F$F55.A55.F111.F111.F111.F111.F$F65.3C43.F111.F111.F
111.F111.F$F111.F111.F111.F111.F111.F$F63.2A46.F111.F111.F111.F111.F$
F62.A.A46.F111.F111.F111.F111.F$F63.A47.F111.F111.F111.F111.F!
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Re: Slow salvo seeds

Postby simsim314 » August 8th, 2016, 4:24 am

Following the discussion started here, we now have synthesizable Snark! Using only 19 SLs, it's now possible to generate the SL of the snark (snark cost in total becomes 22 SLs which is quite compact, and surprisingly enough in the same range of other stable reflectors):

x = 149, y = 115, rule = LifeHistory
147.C$146.C$146.3C73$8.C$7.C34.2A$7.3C32.2A2$42.2A$19.2A21.2A$.A17.2A
17.2A$A.A29.A6.A$.2A29.A6.A.A$32.A7.2A$45.2A$45.2A$28.2A10.A$28.2A9.A
.A$39.A.A$19.D2.3A15.A$20.D$18.3D6.A$13.2A11.A.A$13.2A12.2A14.2A$43.
2A2$63.2A$63.2A$54.A$2A51.A.A$2A2.2A47.A.A$4.2A48.A2$16.A$15.A.A$15.A
.A$16.A5$19.A$18.A.A$19.A!
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Re: Slow salvo seeds

Postby chris_c » August 8th, 2016, 6:02 am

simsim314 wrote:Following the discussion started here, we now have synthesizable Snark! Using only 19 SLs, it's now possible to generate the SL of the snark (snark cost in total becomes 22 SLs which is quite compact, and surprisingly enough in the same range of other stable reflectors)


That is a very cool result. Here is a first attempt at some simplification:

x = 203, y = 31, rule = B3/S23
194bo$192b2o$50bo142b2o$51b2o$50b2o$2o59b2o57b2o58b2o$2o17b2o40b2o17b
2o38b2o17b2o39b2o17b2o$20bo60bo58bo52bo6bo$12b3o5bobo50b3o5bobo48b3o5b
obo50bo6bobo$21b2o59b2o57b2o50bo7b2o$64b2o$64b2o117b2o4b2o$123b2o58bob
o3b2o$123b2o59bo$65b2o$64bobo61bo$5b2o57b2o62bo$4bobo121bo$4b2o3$5b2o$
5b2o5$111b2o72bo$4b3o12b2o44b3o42bobo11b3o58bo$18b2o92bo72bo$20bo!


EDIT: Added seeds for all 4 glider directions.
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Re: Slow salvo seeds

Postby Kazyan » August 8th, 2016, 6:21 am

The glider+beehive->LoM conversion works, if other SLs are built later, but it doesn't work with the particular cleanup blinker in chris_c's examples:

x = 48, y = 29, rule = LifeHistory
24.2A$24.2A2$24.2A$.2A21.2A$.2A17.2A$21.A$13.3A5.A.A22.D$22.2A21.D$
27.2D16.3D$27.2D$22.D$21.D.D$21.D.D$22.D4$25.2A$25.2A2$8.2A4.C.C28.2A
$7.A2.A3.2C29.2A$8.2A5.C20.A$35.A.A$35.A.A$.2C33.A$C2.C$B2C!


Seeds of Destruction should help in terms of debris cleanup.
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Re: Slow salvo seeds

Postby simsim314 » August 8th, 2016, 6:37 am

Kazyan wrote:The glider+beehive->LoM conversion works, if other SLs are built later


Of course! 5 SL for last stage snark this is amazing! We only need 2-3 SLs for the last operation and we get snark practically for free...
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Re: Slow salvo seeds

Postby Extrementhusiast » August 8th, 2016, 4:21 pm

Kazyan wrote:The glider+beehive->LoM conversion works, if other SLs are built later, but it doesn't work with the particular cleanup blinker in chris_c's examples:

RLE


Seeds of Destruction should help in terms of debris cleanup.


This cleanup block leaves just the "usual" debris of a beehive and blinker:
x = 49, y = 27, rule = LifeHistory
25.2A$25.2A2$25.2A$2.2A21.2A$2.2A17.2A$22.A$14.3A5.A.A22.D$23.2A21.D$
28.2D16.3D$28.2D$23.D$22.D.D$22.D.D$23.D4$26.2A$26.2A2$9.2A4.C.C28.2A
$8.A2.A3.2C29.2A$2C7.2A5.C20.A$2C34.A.A$36.A.A$37.A!

The block can also be moved one down or one left.
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Re: Slow salvo seeds

Postby simeks » August 11th, 2016, 4:09 pm

A simpler converter for the final step of the slow-salvo synthesis of the Snark. I've only searched for one where the glider comes from the "most natural" direction so far:

x = 24, y = 19, rule = LifeHistory
10.A$11.A$9.3A4$8.A$4.2A.A.A$3.A.A.A.A$A2.A.A.A.A.A$4A.2A3.2A$4.A$2.A
.A17.A$2.2A17.A.A$14.2A5.A.A$13.A2.A5.A$9.2A3.A.A$8.A2.A3.A$9.2A!

EDIT: Another one that might be slightly cheaper to build (and the full Snark still life from 9 objects using chris_c's version of the first step):

x = 37, y = 56, rule = LifeHistory
.E$2.E$3E29$6.2A$6.2A17.2A$.E17.A6.A$2.E16.A6.A.A$3E16.A7.2A$9.2A$9.
2A2$25.2C7.2C$10.2A13.C.C5.C2.C$9.A.A14.C7.C.C$9.2A24.C5$34.2C$34.2C
5$11.A$11.A$11.A!
Last edited by simeks on August 11th, 2016, 7:16 pm, edited 2 times in total.
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Re: Slow salvo seeds

Postby Extrementhusiast » August 11th, 2016, 5:34 pm

simeks wrote:A simpler converter for the final step of the slow-salvo synthesis of the Snark. I've only searched for one where the glider comes from the "most natural" direction so far:

RLE

Because it starts with a honey farm, that seed can be modified to allow triggering from all four directions:
x = 79, y = 73, rule = LifeHistory
17.A58.A$15.A.A58.A.A$16.2A58.2A2$8.A49.A$4.2A.A.A44.2A.A.A$3.A.A.A.A
43.A.A.A.A$A2.A.A.A.A.A38.A2.A.A.A.A.A$4A.2A3.2A38.4A.2A3.2A$4.A16.A
32.A16.A$2.A.A15.A.A29.A.A15.A.A$2.2A16.A2.A28.2A16.A2.A$14.2A5.2A41.
2A5.2A$13.A2.A46.A2.A$9.2A3.A.A42.2A3.A.A$8.A2.A3.A42.A2.A3.A$9.2A48.
2A38$8.A49.A$4.2A.A.A44.2A.A.A$3.A.A.A.A43.A.A.A.A$A2.A.A.A.A.A38.A2.
A.A.A.A.A$4A.2A3.2A38.4A.2A3.2A$4.A49.A$2.A.A16.2A29.A.A16.2A$2.2A16.
A2.A28.2A16.A2.A$14.2A4.A.A41.2A4.A.A$13.A2.A4.A41.A2.A4.A$9.2A3.A.A
42.2A3.A.A$8.A2.A3.A42.A2.A3.A$9.2A48.2A4$16.2A58.2A$15.A.A58.A.A$17.
A58.A!
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Re: Slow salvo seeds

Postby chris_c » August 12th, 2016, 8:12 am

Excellent. So it looks feasible to build the Snark with slow salvo in any orientation. Only the for final orientation shown here does it look necessary to use tricks with orthogonal gliders:

x = 323, y = 229, rule = LifeHistory
76.A$77.A$75.3A92$205.A.A$205.2A$206.A2$2.A224.A$A.A224.A.A$.2A224.2A
20$216.A$215.A.A$215.2A10$169.A$167.2A$168.2A$42.D59.A59.D59.A$40.3D
57.3A57.3D57.3A$.A37.D59.A59.D59.A$2.2A35.2D58.2A58.2D58.2A$.2A206.A$
202.3A3.A.A$209.2A4$29.2D58.2D58.2D$28.D.D5.2A50.D.D5.2A50.D.D5.2D58.
2A$28.D7.2A50.D7.2A50.D7.2D58.2A$27.2D58.2D58.2D2$22.2A58.2A58.2A58.
2A$22.2A17.2A39.2A17.2A39.2A17.2A39.2A17.2A$42.A59.A52.A6.A59.A$34.3A
5.A.A49.3A5.A.A50.A6.A.A49.3A5.A.A$43.2A58.2A50.A7.2A58.2A$25.2A27.A
119.A$25.2A26.A.A58.2A29.2A4.2A20.A.A58.2A$53.A2.A28.2A26.A2.A28.A.A
3.2A20.A2.A56.A2.A$47.2A5.2A29.2A20.2A4.A.A30.A20.2A5.2A51.2A4.A.A$
26.2A18.A2.A56.A2.A4.A51.A2.A56.A2.A4.A$25.A.A14.2A3.A.A40.A11.2A3.A.
A52.2A3.A.A52.2A3.A.A$25.2A14.A2.A3.A41.A10.A2.A3.A52.A2.A3.A38.2A12.
A2.A3.A$42.2A46.A11.2A58.2A42.A.A13.2A$206.2A3$207.2A$207.2A4$141.A$
140.A.A$26.3A57.3A50.A2.A63.3A$140.2A8$63.2A$62.A.A166.2A$64.A165.2A$
232.A29$61.2A224.2A$60.A.A224.A.A$62.A224.A10$320.2A$320.A.A$320.A!
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Re: Slow salvo seeds

Postby simeks » August 12th, 2016, 12:21 pm

Extrementhusiast wrote:This cleanup block leaves just the "usual" debris of a beehive and blinker:
x = 49, y = 27, rule = LifeHistory
25.2A$25.2A2$25.2A$2.2A21.2A$2.2A17.2A$22.A$14.3A5.A.A22.D$23.2A21.D$
28.2D16.3D$28.2D$23.D$22.D.D$22.D.D$23.D4$26.2A$26.2A2$9.2A4.C.C28.2A
$8.A2.A3.2C29.2A$2C7.2A5.C20.A$2C34.A.A$36.A.A$37.A!

Here's a LoM seed from a different direction that just happens to produce that block as a side-effect:

Edit: Added a similar seed that produces a LoM and a blinker:

x = 77, y = 22, rule = LifeHistory
6.2A46.2A$6.2A17.2A27.2A17.2A$19.A6.A47.A$19.A6.A.A37.3A5.A.A$19.A7.
2A46.2A7$10.2C47.2C$9.C2.C31.E13.C2.C$.E8.C.C32.E13.2C$2.E8.C31.3E$3E
2$52.2C$52.C.C$9.C43.2C$8.C.C$9.2C!

Edit 2: Two-object options for the final conversion from the other directions (and repeating the three object solution for the hard direction from the earlier post):

x = 164, y = 19, rule = LifeHistory
22.E$8.A12.E34.A47.A47.A$4.2A.A.A11.3E28.2A.A.A42.2A.A.A42.2A.A.A6.E$
3.A.A.A.A41.A.A.A.A6.2C33.A.A.A.A41.A.A.A.A7.E$A2.A.A.A.A.A36.A2.A.A.
A.A.A3.C2.C29.A2.A.A.A.A.A36.A2.A.A.A.A.A3.3E$4A.2A3.2A36.4A.2A3.2A3.
C.C30.4A.2A3.2A36.4A.2A3.2A$4.A47.A11.C35.A47.A$2.A.A11.2C32.A.A45.A.
A45.A.A$2.2A6.C5.C.C31.2A15.C5.3E22.2A7.C4.2C32.2A$9.C.C5.2C48.C5.E
32.C.C2.C2.C37.2C7.2C$9.C2.C54.C6.E30.C.C4.C2.C36.C.C5.C2.C$10.2C93.
2C6.2C38.C7.C.C$162.C4$104.2E$103.E.E55.2C$105.E55.2C!
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