SansDomino rulespace

[Tropylium]

The newest chapter in my continued quest for non-exploding B2 rules (previously seen with eg. alternating rules) seems to be bearing fruit.

I've decided to tackle the core of the issue: a major contribution (or, as turns out, the major contribution) is the "domino engine". It's simple to show that in any B2 rule, any pattern with the following structure

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..OO..

on an orthogonal edge of the pattern will expand forever in that direction at lightspeed.

The idea: let's look at rules that allow B2 for any environment except that specific one. I've so far done a sweep of almost everything from B2/S up to B24/S01234. Here's a general-purpose ruletable:

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# SansDomino
n_states:2
neighborhood:Moore
symmetries:rotate8reflect

#no B0, B1, domino
0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0

#B2 otherwise
0,1,0,1,0,0,0,0,0,1
0,1,0,0,1,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,0,1,0,1,0,0,0,0,1
0,0,1,0,0,0,1,0,0,1

#B3; proceed with caution
#0,1,1,1,0,0,0,0,0,1
#0,1,1,0,1,0,0,0,0,1
#0,1,1,0,0,1,0,0,0,1
#0,1,1,0,0,0,1,0,0,1
#0,1,1,0,0,0,0,1,0,1
#0,1,1,0,0,0,0,0,1,1
#0,1,0,1,0,1,0,0,0,1
#0,1,0,1,0,0,1,0,0,1
#0,1,0,0,1,0,1,0,0,1
#0,0,1,0,1,0,1,0,0,1

#B4
#0,1,1,1,1,0,0,0,0,1
#0,1,1,1,0,1,0,0,0,1
#0,1,1,1,0,0,1,0,0,1
#0,1,1,0,1,1,0,0,0,1
#0,1,1,0,1,0,1,0,0,1
#0,1,1,0,1,0,0,1,0,1
#0,1,1,0,1,0,0,0,1,1
#0,1,1,0,0,1,1,0,0,1
#0,1,1,0,0,1,0,1,0,1
#0,1,1,0,0,1,0,0,1,1
#0,1,1,0,0,0,1,1,0,1
#0,1,0,1,0,1,0,1,0,1
#0,0,1,0,1,0,1,0,1,1


#S0?
1,0,0,0,0,0,0,0,0,1

#S1?
1,1,0,0,0,0,0,0,0,1
1,0,1,0,0,0,0,0,0,1

#S2?
1,1,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0

#S3?
1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0
1,1,1,0,0,0,1,0,0,0
1,1,1,0,0,0,0,1,0,0
1,1,1,0,0,0,0,0,1,0
1,1,0,1,0,1,0,0,0,0
1,1,0,1,0,0,1,0,0,0
1,1,0,0,1,0,1,0,0,0
1,0,1,0,1,0,1,0,0,0

#S4?
1,1,1,1,1,0,0,0,0,1
1,1,1,1,0,1,0,0,0,1
1,1,1,1,0,0,1,0,0,1
1,1,1,0,1,1,0,0,0,1
1,1,1,0,1,0,1,0,0,1
1,1,1,0,1,0,0,1,0,1
1,1,1,0,1,0,0,0,1,1
1,1,1,0,0,1,1,0,0,1
1,1,1,0,0,1,0,1,0,1
1,1,1,0,0,1,0,0,1,1
1,1,1,0,0,0,1,1,0,1
1,1,0,1,0,1,0,1,0,1
1,0,1,0,1,0,1,0,1,1

#S5?
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0

#S6?
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0

#S7?
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0

#S8?
1,1,1,1,1,1,1,1,1,0

This is currently set on B2/S014, the most promising (and IMO quite elegant) rule of this kind I've found so far — it seems to combine the nimbleness of B2 rules in general with the variety of type-4 rules. A kind of "Life lite", if you will. The rule has three related natural c/2 spaceships (the p6 with a tail spark is the most common) and one dot puffer, and half a dozen natural oscillators of periods including 2, 4, 5, 6, 8:

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x = 40, y = 50, rule = sansdomino
16bo2bo$16bo2bo$14b8o$9bo6bo2bo$9bo6bo2bo$o2b2o2b5o2b8o$9bo6bo2bo$9bo
6bo2bo3$2bo16bo8bo8bo$3bo3bobo11bo3bo2bo6bo3bo$o18bo8bo8bo$bo5bobo11bo
7bo$26bo$39bo2$11bo11bo13bo$2bo4b2o10b2o$35bo$o7bo3bo7bo$23bo9bo4$8bo$
5bo3bo$8bo5$8bo$9bo$5bo2bo5$3bo4bo$o8bo$3bo4bo4$o$3bo4bo$9bo$3bo4bo$o!

The small p6 and the large p14 are part of a series of diagonal oscillators of period 2ⁿ⁺²-2, found in B2/S01; alas, S4 wrecks the larger versions.

A very common pattern is this "methuselah" yielding two dots in 12 generations:

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x = 2, y = 3, rule = sansdomino
bo$bo$o!

which can be hassled at p6 and p8 (see before).

A few still life / p6 spaceship collisions that seem promising for engineering:

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x = 49, y = 25, rule = sansdomino
47bo2$3bo4bo9bo14bo4bo$o8bo20bo8bo$3bo4bo24bo4bo15$17b2o$48bo2$3bo4bo
24bo4bo$o8bo20bo8bo8bo$3bo4bo24bo4bo!

Preliminary pattern collections for other rules coming in a moment…

[Tropylium]

Starting with rules with birth only with 2 neighbors.

The rules around the lower edge of rulespace are surprizingly stable. /S013 is the only one that explodes chaotically. It has a few spaceships/puffers:

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x = 8, y = 20, rule = sansdomino
4bo$4bobo$4bo2bo$3bo2bo4$4bo$6bo$7bo$6bo$4bo4$4bo$2bo3bo$2o5bo$2bo3bo$
4bo!

/S0134 also grows indefinitely, settling into an interesting block pattern. It has a 6c/12 spaceship & puffer:

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x = 10, y = 12, rule = sansdomino
7bobo2$4b2o2b2o2$6bo5$7bobo$o2b2obo$8b2o!

You'd think all rules with at least three of S1, S2, S3, S4 (plus optional S0) would explode, but no, all the others settle into various maze patterns. /S123 has some shoot patterns similar to Coral, while /S124 works much akin to Inkstains: larger patterns tend to grow to huge stable / oscillating splotches. Here's a small one that takes 6511 generations:

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x = 4, y = 3, rule = sansdomino
o2bo$b2o$3bo!

---

/S14 is another promising-for-engineering rule, supporting an incredibly tiny (3 cells / 2x3 in all phases!) c/4 diagonal "glider lite", and also a p4 ship akin to the ones from /S014.

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x = 33, y = 21, rule = sansdomino
2o5bo$4bo3bo$bo5bo4$6bo6bo$6bo$2o2b5o2bo3bo$6bo$6bo6bo4$obo3bobo3bobo
4bobo8bobo2$8bo5bobo6bo$32bo$23bo8bo$30b2o$25bobo!

Reactions aplenty:

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x = 61, y = 47, rule = sansdomino
11bo$11bobo20bobo4$36bo2$6b2o$5bo$5bo29bobo20bo$36bo$58bobo2$34bobo6$
34bobo2$13bobo2$13bo$50b2o14$34bo2$34bo$8bo$7bobo$2o2$bo$8bo!

—The mini-glider still works in /S12, it just shifts to p6. They can also be "chained". This rule develops structures mostly composed of line segments (which function as inpermeable walls!) and supports some oscillators of larger period:

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x = 28, y = 47, rule = sansdomino
20b2o2$18b2obo2$16b3o$18bo$b2o5b2o4bobo$16bo$2bo3b2obo4bo$14bo2$24b2o$
2o2b3o2b4o2b5o2b2o2b2o3$11bo$obo6bobo$6b2o$obo6bo$9bo5$obo3bobo2$2bo5b
obo3$o2$o3bo2$4bo3$o2$ob2o4$o$ob2o$o3bo$ob2o$o!

/S012 also makes mainly line segments and oscillators, and fails to support any natural or engineered spaceships:

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x = 48, y = 34, rule = sansdomino
4bo$o2b2o2$19b2o$bo4bo4b2o5b2o5b2o$o3bo4bo2b2o2bo6bo2b2o$29b2o$30b2o$
2o$bobo2$3bo$14bo$13b2o$12b3o18bo9bobo$o3bo2bo3b2ob2o6bob2o5bo5bo3bo5b
o$2bo6bo7bo8bo8bo2$26bo$3bo2$2o$bo9$2bo$o$bo2bo!

And some /S02 oscillators:

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x = 48, y = 34, rule = sansdomino
4bo$o2b2o2$19b2o$bo4bo4b2o5b2o5b2o$o3bo4bo2b2o2bo6bo2b2o$29b2o$30b2o$
2o$bobo2$3bo$14bo$13b2o$12b3o18bo9bobo$o3bo2bo3b2ob2o6bob2o5bo5bo3bo5b
o$2bo6bo7bo8bo8bo2$26bo$3bo2$2o$bo9$2bo$o$bo2bo!

[Hektor]

Wow, awesome rules!
I packed them into different ruletables for comodity for convenience:

sansdomino_S.zip

Corrected the S0123 file

(8.33 KiB) Downloaded 379 times

I just love /S123

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x = 51, y = 6, rule = sansdomino_S123
b13o$3o26b2o2b2o2b2o2b2o2b2o2b2o$b13o15b2o2b2o2b2o2b2o2b2o2b2o3$28bo3b
o3bo3bo3bo3bo!

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x = 7, y = 7, rule = sansdomino_S123
6o$5bo$4o$6bo$4o$5bo$6o!

EDIT: Updated the zip

[Wojowu]

p1 stabilization for first pattern

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x = 3, y = 3, rule = sansdomino_S123
bo$2bo$2o!

Turn by 90 degrees

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x = 10, y = 6, rule = sansdomino_S123
6bo$9bo2$b3o$4bo$4o!

Also, your S123 is S0123, because alone dots survive

[Tropylium]

Pseudo p40 bigun (easily generalizable for larger periods) for S14:

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x = 27, y = 21, rule = sansdomino_s14
12bobo$o11bobo11bo$13bo6bo$o18bo3bo2bo$20bo8$13bo$12bobo$12bobo3$o25bo
$16bo$o11bo4bo8bo$16bo!

[EricG]

Two of your guns (and two eaters) make a glider gun. One more gun can increase the period. (This took 10 seconds to find --- which puts the two weeks I've spent unsuccessfully looking for a gun in 237/34578/4 into perspective!)

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x = 219, y = 203, rule = sansdomino_s14
20$45bobo13bobo3$45bo$43bo3bo2$45bo4$61bo2$26bo17b2o3bo3b2o16b2o18b2o
18b2o$26bo3b2o14bo2bo2bo17bo19bo19bo$26bo17b2o3bo3b2o5bobo8b2o18b2o18b
2o$61bo$113bobo$113bobo$112b2ob2o$114bo$114bo5$125bo$45bobo13bobo59b2o
9$135bo$113bobo17b2o$113bobo$112b2ob2o$114bo$114bo5$145bo$143b2o9$155b
o$113bobo37b2o$113bobo$112b2ob2o$114bo$114bo3$204bo$205bo$165bo39bo$
163b2o7$100bobo17bobo3bobo$123bo$120bobo52bo$113bobo57b2o$113bobo$112b
2ob2o$113bobo$113bobo3$183bobo6$100bobo7bobo13bobo$113bo$110bobo2$174b
o$114bo60bo$114bo60bo$112b2ob2o$113bobo$113bobo5$164bo$165bo$165bo8$
154bo$114bo40bo$114bo40bo$112b2ob2o$113bobo$113bobo5$144bo$145bo$145bo
8$134bo$114bo20bo$114bo20bo$112b2ob2o$113bobo$113bobo4$51b3o13b3o$124b
o$125bo$125bo$49b2ob2o$50bobo$50bobo5$114bo$49bo11bo5bo11bo19bo15bo$
36b2o10bo13bo4bo7bo4bo14bo4bo14bo$49bo11bo3b2ob2o9bo19bo$66bobo$66bobo
10$51b3o13b3o!

And here is a related tri-gun:

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x = 124, y = 100, rule = sansdomino_s14
11$69bobo13bobo4$71bo3$20bobo64bo$20bobo47bobo13bobo$21bo49bo2$84bo$
46b2o18b2o15b2o2bo13b2o$48bo19bo13bo17bo8b2o$46b2o18b2o15b2o16b2o2$31b
o2$30b2o8$69bobo13bobo$20bobo$20bobo$21bo12$26bo$8bo13bo4bo6bo$26bo$8b
o25bo$20bob2o$20bobo38bo$21bo$60b2o9$26bo$8bo16bo4bo3bo$26bo$8bo25bo$
21bo$20bobo$20bobo7$21bo$21bo5$91bo2$90b2o!

I haven't stopped to think this through, but here's a passing thought before I hit post: I wonder if any of the many patterns from the Just Friends rule work in any of these rules?

[Hektor]

Also, your S123 is S0123, because alone dots survive

Thank's it's fixed now...

Also another 90 degrees turn:

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x = 15, y = 5, rule = sansdomino_s0123
13b2o$14bo$bo12bo$2bo11bo$2o!

With which is very easy to make a U-Turn

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x = 15, y = 7, rule = sansdomino_s0123
10b4o$10bo$13b2o$14bo$bo12bo$2bo11bo$2o!

T-splitter:

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x = 17, y = 11, rule = sansdomino_s0123
15bo$11bo4bo$9b3o2$b2o$3bo10bo$3o2$9b3o$11bo4bo$15bo!

[Wojowu]

Double glider gun in S14

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x = 70, y = 59, rule = sansdomino_s14
44bobo13bobo4$46bo3$62bo$45bobo13bobo$46bo2$59bo$41b2o15b2o2bo$43bo13b
o10b2o$41b2o15b2o12$44bobo13bobo8$18bo$o13bo4bo6bo$18bo$o25bo$12bob2o$
12bobo$13bo10$18bo$o16bo4bo3bo$18bo$o25bo4$13bo$13bo!

[Extrementhusiast]

Two-glider syntheses for S14:

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x = 667, y = 133, rule = sansdomino_s14
101bo$5bo18bo19bo16bo19bo19bobo$5bobo16bobo17bobo14bobo17bobo160bo38bo
$128bo92bo22bobo14bo21bobo$128bobo15bo18bo17bo17bo19bobo37bobo121bo80b
o$146bobo16bobo15bobo15bobo100bo35bo22bo21bobo15bo62bobo56bo14bo66bo$
304bobo33bobo20bobo37bobo14bo22bo58bo22bobo12bobo19bo19bo24bobo15bo$
317bo102bobo20bobo56bobo57bobo17bobo40bobo19bo15bo$6bobo17bobo288bobo
327bobo13bobo$6bo19bo20bo17bo20bo13b2o$46bo17bo20bo31bobo$46bo17bo20bo
14bo18bo19bobo17bobo18bobo16bobo16bobo$141bo19bo20bo18bo18bo11b2o19b2o
21b2o124bo42bobo$234bo20bo41bobo20bobo78bo43bo24b2o17bobo136bo18bobo
14bobo$277bo21bo20bo17b2o37b2o22bo20bo68bo48b2o85bo19bo16bo$356b2o63bo
48bo48b2o55b2o15b2o32bo$338bo19bo19bo42bo99bo18bo12b2o23bo16bo$555bo2$
10bo$10bobo16bo$29bobo$58bo$58bobo16bo21bo$77bobo19bobo35bo25bo$137bob
o23bobo$114bo$114bobo2$5b2o18b2o92bo$7bo19bo53bo36bo$80bo18bo18bo$42b
2o36bo17bo37bo$44bo53bo36bo$135bo18b2o2$155bo8$7bo55bo17bo35bo$7bobo
37bo15bobo15bobo12bo20bobo$24bo22bobo46bobo36bo$24bobo108bobo$150bo$
150bobo3$133b2o19bobo$4b2o20bo127bo$25bo33b2o15b2o20b2o13b2o19bo$4bo
20bo13b2o20bo$41bo35bo20bo15bo13$48bo15bo$7bo40bobo13bobo18bo$7bobo15b
o59bobo12bo$25bobo72bobo5$5bo$4bo21bo40b2o13bo21bobo$4bo20bo12b2o41bo
22bo$25bo14bo26bo13bo13$10bo$10bobo14bo14bo$27bobo12bobo20bo$65bobo5$
24bo20bobo$23bo21bo$2o21bo39bo$62bo$bo60bo14$108bo$108bobo15bo$5bo42bo
16bo18bo41bobo$5bobo20bo19bobo14bobo16bobo59bo18bo$28bobo115bobo16bobo
4$103bobo$5bo37bobo15bobo19bobo19bo$4bo14bobo23bo17bo21bo41b2o17bobo$
4bo16bo124bo19bo$127bo37bo$165bo!

Taken, rearranged, and slightly modified from the Life two-glider syntheses file.

[Extrementhusiast]

Some synthesized and non-synthesized objects in S13:

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x = 396, y = 133, rule = sansdomino_s13
34bo2b3o$32b6o19$149bobo2$125b2o20bo$123b2o3b2o$73b2o5b2o43b2o20bo$76b
obo$100bo$100bo3bo202bo$100b4o202b3o$99bo3bo200b2o3b2o$103bo185b3o14b
3o$291b3o13bo2$158bo$158bobo3$72b2o$72bobo$73b2o42bo43bobo$116b4o41bo$
114b2o163b5o52bo$116bo127bo36bo54bob2o$146bobo95bobo88b2o$148bo187bob
2o$336bo$355bobo3$32bo206bobo111bobo$32bo208bo$31bobo40bo$33b2o39bo$
34bo67bo$34bo36b2o3b2o$101bobo$74bo27bo$74bo26b3o92bo$2o194bobo2$3b2o
2$5b2o$199bobo$8b2o189bo2$162bo$162bobo2$236bo$115bo120bobo$115bobo$
118b2o171bo$117bo45bo127bobo$162bo$162bo$230bobo$232bo3$80bo3bo209bo$
79b3o2bo208bo$16bobo58b2o3b2ob2o206bo$16bobo60b3o2bo$80bo3bo$14b6o$12b
3o2bo2$189bo$189bobo5$262bo$188bo71bobo$187bo$187bo$345bo$343bobo3$
239bo$73bo$73bobo163b2o49bo$72b2o2b2o$73bobo214b2o80bo$73bo$372b2o$
235b2o$234bo47b2o2$283bo80b2o2$365bo7$311bobo$311bo$393bobo$185bo207bo
$185bobo6$184bobo$186bo!

[Extrementhusiast]

Updated from previous post:

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x = 399, y = 156, rule = sansdomino_s13
37bo2b3o$35b6o12$12b3o2bo2b3o$14b7o3$274bo$190bo81bobobo$188bobo81b2ob
2o$152bobo116bo5bo$272bo3bo$128b2o20bo123bo$126b2o3b2o141bo$76b2o5b2o
43b2o20bo34bobo$79bobo105bo$103bo$103bo3bo93b2o$103b4o93bo$bo100bo3bo$
bo104bo185b3o$2o292b3o$bo196bobo$bo159bo36bo$2obo157bobo$bobo$bo$2o$bo
bobo$bo118bo43bobo$2o4bobo110b4o41bo$bo115b2o163b5o$bo117bo127bo36bo$
149bobo95bobo107bo$151bo$357b2o4$35bo206bobo$35bo208bo$34bobo40bo$36b
2o39bo266bo$37bo$37bo36b2o3b2o263b2o2$77bo$77bo121bo$3b2o194bobo$340b
2o$6b2o331bo2$8b2o$202bobo$11b2o189bo$132bo$132bobo30bo$165bobo2$239bo
$239bobo2$47bo85bo160bo$47bo84bo33bo127bobo$46bobo83bo32bo$45bobobo
115bo$43b2obobob2o181bobo88bobo$45bobobo185bo90bo$46bobo$47bo$47bo35bo
3bo209bo$82b3o2bo208bo$19bobo58b2o3b2ob2o206bo$19bobo60b3o2bo$83bo3bo
29b2o$17b6o96bo$15b3o2bo2$192bo$192bobo5$265bo$191bo71bobo$190bo$171bo
18bo$125bo45bobo174bo$125bobo218bobo3$242bo$76bo$76bobo93bo69b2o49bo$
75b2o2b2o90bo$76bobo92bo121b2o80bo$76bo56b2o$121b2o252b2o$133bo104b2o$
122bo114bo47b2o2$286bo80b2o2$368bo2$154b2o$156bo4$314bobo$314bo$396bob
o$188bo207bo$188bobo6$187bobo$189bo8$249bo$249bobo2$240bo$240bobo9$
234b2o13bo$236bo11bo$248bo!

[Extrementhusiast]

Looking in -S13 for a stable eater, a gun, and a rake (if possible). This is the closest I've gotten to a gun so far:

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x = 17, y = 14, rule = sansdomino_s13
14bo$8bo2b2ob3o$13bo$8bo2b2ob3o$14bo5$9bo$7b3ob2o2bo$2o8bo$7b3ob2o2bo$
bo7bo!

Unfortunately, the glider returns at the wrong period.

[Wojowu]

Almost-gun:

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x = 15, y = 24, rule = sansdomino_s13
bobo$bobo$5o$5o$5o$2bo4$9bo$13bo$8bo5bo$13bo$9bo4$bobo$bobo3$2bo$bobo$
bobo!

At generation 24 it creates glider, but it can't escape and destorys one of oscillators at gen 30. Whole pattern stabilizes after 112 generations

[Tropylium]

The "flat" p4 works as an eater or reflector:

Code: Select all

x = 34, y = 11, rule = sansdomino_s13
7bo11bo$31bo$7b2o10b2o11b2o7$2o5b2o2b2o5b2o2b2o5b2o$3bobo8bobo8bobo!

ETA: Another approach to guns would be explosions run into walls. Here's a p22 almost-gun reaction:

Code: Select all

x = 5, y = 10, rule = sansdomino_s13
2bo$5o4$2bo$2bo$bobo$2bo$2bo!

ETA²: Sparky glider shuttle.

Code: Select all

x = 28, y = 25, rule = sansdomino_s13
12bo4$12bo2$6bo3bo3bo3bo2$12bo2$21b2o3b2o$23bo$12bo8b2o3b2o4$2o3b2o5bo
$4bo7bo$2o3b2o6bo2$15bo$15bo$13b2ob2o$15bo$15bo!

[Extrementhusiast]

The shuttle can be used to turn a domino into a glider, but I can't find a suitable p28 sparker. This would be the domino generator:

Code: Select all

x = 15, y = 12, rule = sansdomino_s13
8b2o3b2o$10bo$8b2o3b2o3$2bo$bobo4$o3bo$2bo!

That or I'd need a suitable p56 domino generator. Or a p28 edge-reflector.

[Tropylium]

Or a p28 edge-reflector.

Would this work?

Code: Select all

x = 14, y = 14, rule = sansdomino_s13
2$bo$bo2$bo$bo4$13bo$12bo$12bo!

—A glider-supported 3c/36 engine:

Code: Select all

x = 69, y = 51, rule = sansdomino_s13
66bo$66bobo5$57bo$57bobo5$48bo$48bobo5$39bo$39bobo5$30bo$30bobo5$21bo$
21bobo5$12bo$12bobo6$3bo4$2bo$bobo$bobo$2ob2o!

[Tropylium]

Strict still life stamp collection:

Code: Select all

x = 319, y = 95, rule = sansdomino_s13
2bo$2bo3$2b2o$2b2o2$7bo4bo$2bo4bo4bo2bo7bo$2bobo2b2o2b2o3b3o5b2o$bobo
3bo3bo4bo4bobo$3bo3bo3bo4bo4bo3$8bo5bo5bo$2bo5bo5bo5bo5bo9bo$2bo4bobo
3bobo3bob3o3b2o5bobo6bo$2ob2o4b2o4b2o4bo5bob2o4bobo6b2o$2bo7bo4bo5bo6b
o4b2o5b2obo$2bo7bo4bo12bo6bo4b2o3$16bo5bo3bo3bo3bo5bo3bo4bo230b2o4b2o
7b2o4b2o$9bo6bo5bo3bo3bo3bo5bo3bo4bo4bo5bo6bo5bo5bo5bo5bo5bo3bo5bo8bo
5bo5bo5bo3bo6bo92b2o4b2o68bo$2bo6bo6b2o3b2o2b2o2b2o3b2o3b2o3b2o3b2o4b
2o4b2o2b2o4b2o4bobo3bobo5bo5bo4b3o3b3o2b3o3b3o3b3o3b3o4bo6bo7bo64bo19b
2o4b2o12bo2bo6bo12bobo3bobo3bobo3bobo3b2o7bo$2bo5bobo6bo3bo4bo3bo3bo4b
o4bo4bo3b2o4b2o6b2o4b2o3bobo3bobo2b3o3b3o4bo5bo6bo5bo5bo5bo4b3o4b3o5bo
7bo7bo7bo17bo14bo7bo15b2o5bo5bo3bo6bo3b2o5b2o2bo3bo4bo5bo5bo5bo4b2o9bo
$2obo6b2o5bo3bo4bo3bo3bo3bo4bo4bo6bo5bo4bo5bo5bo5bo7bo5bo3bo5bo6bo5bo
4bo5bo4bo6bo8b3o5bobo2bo3b2o2bo2bobo2bo4bo2bo2b2o3bo3bo3bo3bo3bo2b2o3b
o2bo4bo3b2o4bo5bo4bobo4b2obo4bobo4bob2o5bo5bo5bo5bo7bo4b2o2b2o$2bob2o
5bobo2b2o2b2o3b2o2b2o2b2o2b2o3b2o3b2o5b2o4b2o3b2o4b2o4b2o4b2o6b2o4b2o
2b2o4b2o5b2o4b2o3b2o4b2o3b2o5b2o5b3o5b3obo4b3o5b2obo4b4o4b2obo4b2obo4b
4o4b2o2bo3b2o6b2o6b2o4b2o3b2o2b2o3bo6bo10b2o2b2o4b2o4b2o4b2o6bo8bo$3bo
8bo3bo3bo4bo4bo3bo2bo4bo5bo5bo6bo3bo6bo4bo6bo6bo6bo2bo6bo5bo6bo3bo6bo
3bo7bo7bo7bobo4bo2bo4bo2bo4bo2bo4bo2bo4bob2o4bo3bo3bo7bo2b2o3bobo5bo6b
o4bobo5bo5b2o8b2o4bo6bo4bo6bo8b2o3bo$3bo8bo3bo3bo4bo4bo3bo2bo4bo5bo5bo
6bo3bo6bo4bo6bo6bo6bo2bo6bo5bo6bo3bo6bo3bo7bo7bo7bo6bo7bo7bo2bo4bo7bo
3bo3bo7bo7bo2b2o3bo7bo6bo4bo13bo11bo3bo6bo4bo6bo8b2o3bo$265bo2$17bo7bo
6bo7bo$2bo7bo6bo7bo6bo7bo4b2o9bo$2bo7bo4b2ob2o3b2ob2o2b2ob2o3b2ob2o2b
2o7bobobo$bobo5b2o6bo7bo6bo7bo7b2o5bobo$2ob2o2b2o2b2o4bo7bo6bo7bo6bob
3o3bobo$bobo5b2o4b2ob2o5b3o3bobo6b2o12bobobo$2bo7bo6bo6bo15bo5b2o8bo$
2bo7bo6bo15b2o5bo2$7bo$7bo$2bo4b2o$2bo5bo3b2o20bo$b2o5bo3b2o9bo3bo4bob
obo$2bo4b2o6b2o7b3o6bobo$2o2bo3bo5bob3o2b2o2bo2b2o3bo2b2o$2bobo3bo3b3o
6b2o5b2o3b3o$b2o4b2o6bo16bo3bo$2bo4bo$2bo4bo3$12b2o6bo$bo4bo5b2o3bo2bo
bo3bo$2b4o9b2o6b3o$2bo2bo8bobo5bo2bo$2bo2bo8b2o6b3o$2b4o7bo3b2o2bo3bob
o$bo4bo10b2o8bo2$23bo$5bo17bo$bo3bo4b2o5b2o2b2ob2o$2b3ob2o2b2o5b2o4bo$
2bo2bo7b3o7bo$2bo2bo6bobobo5bobo$2b4o15b2ob2o$bo4bo4b2o3b2o4bobo$23bo$
23bo$bo$2b2o3bo$2bob3o$3bo2bo$3bo2bo$3b3obo$2bo3b2o$8bo2$bo2bo24b2o$2b
2o3bo21b2o$2bo2b2o25bo4bo$bo2bobo19b2ob2o2b4o$3bobo2bo17b2ob2o2bo2bo$
3b2o2bo24bo3bo$2bo3b2o20bo2bobob2o$5bo2bo20b2obobo2bo$29bo3bo$29bo2bo
2b2ob2o$29b4o2b2ob2o$28bo4bo$35b2o$35b2o!

I'm pretty sure this is complete up to 6 cells. I'm aiming for all of 8 and 10 cells too, tho a few may be missing. (It's not hard to proov that all still lifes must have an even number of cells.)

And oscillators, including new p13 and p15 sparkers, a p5 "billiard table"

Code: Select all

x = 69, y = 107, rule = sansdomino_s13
12bo$9bo2bo2bo30bo8bo$9bo5bo22bo7bo8bo$8b2obobob2o21bo15bobo$9bobobobo
5b2o5b2o15bobo5bobobo$9bobobobo4bobo3b2o3b2o2b2o3b2o9b2obobob2o$8b2o5b
2o3b2o6b2o14b5o4bobobo$9bobobobo22bo7bo7bobo$9bobobobo22bo16bo$8b2obob
ob2o38bo$9bo5bo$9bobobobo$8b2obobob2o$9bobobobo$9bo5bo$8b2obobob2o35bo
$9bobobobo4bo4bo6bo6bo6bo7bo$9bo2bo2bo25bo5bo4bobo$12bo7bo4bobo4bobo4b
o6b2o4bo7b2o5b2o$41bo12bo8bobo$34bo3$64bo$25bo8bo$42bo4bo3b2o5bobo3bo$
21b2o2bobo2b2o2bobo5bo10bo$43b2o2bo6b2o2bo7bobo$36bo2$9bo$9bobo$8b2obo
$9bob2o19bo$9bo2bo7bo9bobobo$8b2o$9bo2bo2bo4bo2bo3b2o7b2o$9bo$15bo7bo
6bobobo$32bo2$23bo$21bobobo$21b2ob2o$20bo5bo$21bo3bo$23bo$23bo4$20b2o
2$23b2o2$25b2o2$28b2o$22bo$22bo$20b2ob2o3$20b5o$22bo3$22bo$22bo$20b2ob
2o5$27bo$27bo$20bo13bo$23b2o5b2o$20bo13bo$27bo$27bo6$23bo3bo$23bo3bo$
25bo2$20b11o$22bo2bo2bo5$20bo2bo$21b2o$20bo2bo6$2o10bo12bo$7b2ob3o7b2o
b3o$12bo12bo!

[Tropylium]

Or a p28 edge-reflector.

Would this work?

Code: Select all

x = 14, y = 14, rule = sansdomino_s13
2$bo$bo2$bo$bo4$13bo$12bo$12bo!

…Work it does, if a little awkwardly. P168 gun:

Code: Select all

x = 128, y = 128, rule = sansdomino_s13
73bo2bo2bo$77b2obo2bo$52bo20bo2bo2bo$51bobo2$50bo3bo$51bobo3$78bo2bo2b
o$74bo2bob2o$78bo2bo2bo4$57bo$57bo$55b2ob2o$47b2o8bo$57bo$48bo12bo$62b
2o35bo$99bo$96bobobobo$95bo3bo3bo$97bobobo$27bo67bo7bo$27bo65b2ob2o3b
2ob2o$25b2ob2o65bo7bo$27bo69bobobo$27bo47b2o9bo8bo3bo3bo$74bo10bo2bo7b
obobobo$89bo9bo$85bo2bo10bo$86bo2$98bo2$97b2o$31bobo$30bo3bo2$31bobo$o
bo29bo$10bo2$obo$bo8bo$bo7bobo$obo7bo$bo8bo112bo$9bobo109bo2bo$120bo$b
o119bo2bo$9bobo111bo$110bo$110bo$108b2ob2o$110bo$110bo3$19bo$20b2o$17b
o$17bo$14bobobobo$13bo3bo3bo101b2o$15bobobo103b2o2bo$13bo7bo101bo2b2o$
11b2ob2o3b2ob2o93b2o$13bo7bo$15bobobo$4bo8bo3bo3bo94bobo$3bo2bo7bobobo
bo105bo$7bo9bo14bo$3bo2bo10bo12b2o84bobo$4bo112bo8bo$117bo7bobo$16bo
99bobo7bo$117bo8bo$15b2o108bobo2$117bo$95bo29bobo$85b2o7bobo$87bo$93bo
3bo$94bobo5$41bo$39bo2bo$38bo$39bo2bo$41bo58bo$28bo71bo$28bo69b2ob2o$
26b2ob2o59b2o8bo$28bo71bo$28bo62bo6$70bo$70bo$68b2ob2o$70bo$70bo4$43bo
2bo2bo$47b2obo2bo$43bo2bo2bo4bo$55bo2$55b2o17bobo$73bo3bo2$74bobo$48bo
2bo2bo20bo$44bo2bob2o$48bo2bo2bo!

(P56 is not viable — it becomes impossible to get the return glider past both the "nova" and its supporting shuttle. P112 runs into some other phasing problems, but I'm not entirely sure yet.)

[beebop]

Can somebody please post a working SD-B2/S13 ruletable for me? I don't seem to be able to create one.

[Tropylium]

Code: Select all

# SansDomino_S13
n_states:2
neighborhood:Moore
symmetries:rotate8reflect

#no B0, B1, domino
0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0

#B2 otherwise
0,1,0,1,0,0,0,0,0,1
0,1,0,0,1,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,0,1,0,1,0,0,0,0,1
0,0,1,0,0,0,1,0,0,1

#S0?
1,0,0,0,0,0,0,0,0,0

#S1?
1,1,0,0,0,0,0,0,0,1
1,0,1,0,0,0,0,0,0,1

#S2?
1,1,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0

#S3?
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1

#S4?
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0

#S5?
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0

#S6?
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0

#S7?
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0

#S8?
1,1,1,1,1,1,1,1,1,0

—Also, I spent a while looking for better reflectors and here's a much smaller p84 gun:

Code: Select all

x = 26, y = 24, rule = sansdomino_s13
17bobo2b2o$16bo4bo2bo$17bobo2b2o7$18b2o2bobo$b3o13bo2bo4bo$b5o12b2o2bo
bo$4o7bo$b5o5bobo$b3o$11bo$11bo$11bo$11bo$10bobo$11bo$11bo2$10bobo!

The reflector component here can be adjusted for any phasing of the glider. This allows "nova reigniters" of odd multiple periods of 28, starting from 84:

Code: Select all

x = 33, y = 28, rule = sansdomino_s13
15bo$15bo$13b2ob2o$15bo$15bo2$25b2o2bobo$24bo2bo4bo$25b2o2bobo6$bo$5bo
$o5bo4bo$5bo5bobo$bo$11bo$11bo$11bo$11bo$10bobo$11bo$11bo2$10bobo!

—ETA: the guns being loop-based allows large periods to be made easily so this one's for amusement only, but, a p5376 (= 84·64) reaction between 2 glider streams:

Code: Select all

x = 43, y = 84, rule = sansdomino_s13
20bo3$20bo$29bo$20bo8bo$20bo7bobo$19bobo7bo$20bo8bo$20bo$29bo3$29bo$
30bo10bo$28b2o9b2o$42bo$21bo17b2o$22b2o17bo2$31bo$31bo$31bo$31bo$22bo
7bobo$22bo$21b2o$21b3o6bobo$20bo2bo6bobo$21b3o6bobo$21b2o8bo$22bo$22bo
6$o$b2o2$2bo$bo$bo17$33bo$31b2ob2obo2bo$23bo9bo$22bo$22bo5$25bo8bo$25b
obo2bob2ob2o$11b3o2bo9bo7bo$10bo6b4o$11b3o2bo7$23bobo$23bobo$22bo3bo$
24bo!

[Extrementhusiast]

Some nice little two-stream reactions:

Code: Select all

x = 1004, y = 121, rule = sansdomino_s13
34bo$25bo7bobo$24bobo$24bobo6bobo$25bo$34bo134bo$24bobo6bobo124bo7bobo
$33bobo123bobo$24bobo7bo124bobo6bobo$25bo134bo$169bo$159bobo6bobo$37bo
130bobo$43bo3bo111bobo7bo$36b2ob4ob2o114bo$43bo3bo391bo$430bo7bobo$24b
o147bo256bobo145bo$24bobo151bo3bo115bo130bobo6bobo127bo7bobo$171b2ob4o
b2o108bo7bobo130bo136bobo$35bobo140bo3bo105bobo148bo127bobo6bobo$35bob
o250bobo6bobo129bobo6bobo127bo$34b5o120bo129bo148bobo136bo$34b5o120bob
o136bo130bobo7bo127bobo6bobo135bo$34b5o249bobo6bobo130bo145bobo126bo7b
obo$36bo133bobo124bobo267bobo7bo126bobo$170bobo115bobo7bo269bo135bobo
6bobo$169b5o115bo152bo262bo$169b5o274bo3bo261bo$169b5o267b2ob4ob2o129b
o123bobo6bobo$171bo129bo146bo3bo133bo3bo122bobo274bo$307bo3bo267b2ob4o
b2o115bobo7bo141bo124bo7bobo$300b2ob4ob2o119bo156bo3bo114bo141bo7bobo
122bobo$307bo3bo117bobo414bobo131bobo6bobo$567bo278bobo6bobo123bo$288b
o151bobo124bobo147bo129bo142bo$288bobo149bobo280bo3bo128bo123bobo6bobo
$439b5o134bobo135b2ob4ob2o120bobo6bobo131bobo$3bo295bobo137b5o134bobo
142bo3bo127bobo122bobo7bo$3bobo293bobo137b5o133b5o264bobo7bo124bo$298b
5o138bo135b5o122bo142bo$298b5o274b5o122bobo$298b5o276bo413bo$2o136bo
161bo414bobo141bo139bo3bo$138bobo574bobo147bo3bo122b2ob4ob2o$o713b5o
139b2ob4ob2o131bo3bo$714b5o146bo3bo$714b5o261bo$138b2o576bo129bo133bob
o$846bobo$138bo852bobo$857bobo131bobo$857bobo130b5o$408bo447b5o129b5o$
408bobo445b5o129b5o$546bo309b5o131bo$267bo278bobo309bo$267bobo$409b2o$
408bo$545b2o$271b2o271bo138bo$270bo412bobo2$21b2o8bobo2b2o$30bo4bo2bo$
21bo9bobo2b2o$680b2o$679bo279bo$159b2o8bobo2b2o649bo133bobo$168bo4bo2b
o648bobo$159bo9bobo2b2o2$32b2o2bobo$15b3o13bo2bo4bo921b2o$15b5o12b2o2b
obo787b2o132bo$14b4o7bo799bo$15b5o5bobo$15b3o152b2o2bobo264bo$25bo127b
3o13bo2bo4bo252b2o7b3ob2o2bo$25bo127b5o12b2o2bobo252bo12bo134bo$25bo
126b4o7bo139bo135b3ob2o2bo118b2o7b3ob2o2bo$25bo127b5o5bobo126b2o7b3ob
2o2bo131bo123bo12bo$24bobo126b3o135bo12bo270b3ob2o2bo$25bo137bo137b3ob
2o2bo267bo$25bo137bo139bo$163bo$24bobo136bo282bo265bo$162bobo275bo2b2o
b3o252b2o7b3ob2o2bo$163bo260bo20bo136bo117bo12bo$163bo144bo119bo11bo2b
2ob3o127bo2b2ob3o125b3ob2o2bo$302bo2b2ob3o112bo5bo4bo11bo113bo20bo130b
o$162bobo121bo20bo120bo5bo129bo11bo2b2ob3o$290bo11bo2b2ob3o113bo8b2o
124bo5bo4bo11bo$285bo5bo4bo11bo125bo129bo5bo422bo$290bo5bo263bo8b2o
287bo123b2o7b3ob2o2bo$286bo8b2o273bo146bo129b2o7b3ob2o2bo116bo12bo$
296bo137bo276bo2b2ob3o126bo12bo131b3ob2o2bo$695bo20bo139b3ob2o2bo128bo
$434bo135bo128bo11bo2b2ob3o138bo$296bo137bo259bo5bo4bo11bo$433bobo134b
o128bo5bo$296bo137bo135bo124bo8b2o$296bo137bo134bobo133bo292bo$295bobo
272bo292bo128bo2b2ob3o$296bo273bo286bo2b2ob3o110bo20bo$296bo408bo135bo
20bo117bo11bo2b2ob3o$845bo11bo2b2ob3o109bo5bo4bo11bo$705bo134bo5bo4bo
11bo116bo5bo$705bo139bo5bo124bo8b2o$704bobo134bo8b2o134bo$705bo145bo$
705bo$986bo$851bo$986bo$851bo134bo$851bo133bobo$850bobo133bo$851bo134b
o$851bo!

[Wojowu]

Some patterns: seven glider construction of sparker (4 to main reaction + 3 to clean debris)...

Code: Select all

x = 65, y = 40, rule = sansdomino_s13
45bo2$45b2o3$37bo2$36b2o8bo$32b2o$46b2o$33bo23$63b2o2$63bo$57b2o$2o$
57bo$bo!

...but 4 gliders is enough

Code: Select all

x = 15, y = 26, rule = sansdomino_s13
3bo2$2b2o11$6b2o5b2o$8bo3bo9$2o2$bo!

some patterns which are related to sliding block memory in Life: main component

Code: Select all

x = 4, y = 3, rule = sansdomino_s13
3bo$o2bo$o!

domino can be changed to it

Code: Select all

x = 7, y = 2, rule = sansdomino_s13
o3bobo$o3bo!

moving it 1 cell forwards

Code: Select all

x = 10, y = 4, rule = sansdomino_s13
3bo$o2bo4b2o$o$8bo!

some off-slope reactions

Code: Select all

x = 36, y = 51, rule = sansdomino_s13
7$12bo$9bo2bo$9bo6b2o2$16bo2$26b2o2$20b2o4bo2$16bo3bo$15bo$15bo8$13bo$
10bo2bo$10bo6b2o2$17bo4$13b2o2$13bo4$30bobo$30bo$26b2o$25bo!

moving it 1 cell backwards

Code: Select all

x = 77, y = 77, rule = sansdomino_s13
7$5bo$2bo2bo$2bo6b2o2$9bo4$5b2o2$5bo4$22bobo$22bo$18b2o$17bo$28b2o2$
28bo2$38b2o2$32b2o4bo2$28bo3bo$27bo$27bo9b2o2$37bo2$47b2o2$41b2o4bo2$
37bo3bo$36bo$36bo9b2o2$46bo2$56b2o2$50b2o4bo2$46bo3bo$45bo$45bo11b2o$
56bo2$60b2o$59bo2$63b2o$62bo2$66b2o$65bo2$69b2o$68bo2$72b2o$71bo!

Sending glider to right

Code: Select all

x = 75, y = 68, rule = sansdomino_s13
3bo$o2bo$o6b2o2$7bo4$3b2o2$3bo4$20bobo$20bo$16b2o$15bo$26b2o2$26bo4$
30b2o2$26bo3bo$25bo$25bo9b2o2$35bo2$45b2o2$39b2o4bo2$35bo3bo$34bo$34bo
9b2o2$44bo2$54b2o2$48b2o4bo2$44bo3bo$43bo$43bo11b2o$54bo2$58b2o$57bo2$
61b2o$60bo2$64b2o$63bo2$67b2o$66bo2$70b2o$69bo2$73b2o$72bo!

All in one

Code: Select all

x = 199, y = 68, rule = sansdomino_s13
2bo3bobo24bo93bo$2bo3bo23bo2bo35bo54bo2bo$30bo6b2o27bo2bo54bo6b2o$66bo
6b2o$37bo93bo$73bo$47b2o2$41b2o4bo79b2o$69b2o$37bo3bo85bo$36bo32bo$36b
o2$144bobo$86bobo55bo$86bo53b2o$82b2o55bo$81bo68b2o$3bo88b2o$o2bo4b2o
24bo115bo$o30bo2bo57bo$8bo22bo6b2o$102b2o$38bo115b2o$96b2o4bo$150bo3bo
$92bo3bo52bo$34b2o55bo57bo9b2o$91bo9b2o$34bo124bo$101bo$169b2o$111b2o$
51bobo109b2o4bo$51bo53b2o4bo$47b2o110bo3bo$46bo54bo3bo52bo$100bo57bo9b
2o$100bo9b2o$168bo$110bo$178b2o$120b2o$172b2o4bo$114b2o4bo$168bo3bo$
110bo3bo52bo$109bo57bo11b2o$109bo11b2o55bo$120bo$182b2o$124b2o55bo$
123bo$185b2o$127b2o55bo$126bo$188b2o$130b2o55bo$129bo$191b2o$133b2o55b
o$132bo$194b2o$136b2o55bo$135bo$197b2o$196bo!

I think these components are sufficient for slow-glider constructions. I don't know what you think but maybe someone will make universality proof for this rule.
PS. My record for most RLEs in one post has been beaten : D

[Extrementhusiast]

I'm currently trying to pipsquirt a domino, which would facilitate other constructions. The problem is that it currently takes six gliders:

Code: Select all

x = 132, y = 67, rule = sansdomino_s13
52b2o2$53bo8b2o2$62bo3$68b2o2$68bo35$23b2o2$24bo17$2o$130b2o$bo$130bo!

I'm sure that it can be done with less, but I just haven't found it.

[Osiris]

The reflector component here can be adjusted for any phasing of the glider. This allows "nova reigniters" of odd multiple periods of 28, starting from 84:

Code: Select all

x = 33, y = 28, rule = sansdomino_s13
15bo$15bo$13b2ob2o$15bo$15bo2$25b2o2bobo$24bo2bo4bo$25b2o2bobo6$bo$5bo
$o5bo4bo$5bo5bobo$bo$11bo$11bo$11bo$11bo$10bobo$11bo$11bo2$10bobo!

I used it to make an adjustable gun:

Code: Select all

x = 31, y = 37, rule = sansdomino_s13
5bo5b2o7b2o3b2o$3b2o8bo10bo$6bo13b2o3b2o$3b2o$5bo4$15bo$15bo$13b2ob2o$
15bo$15bo2$26bobo$26b2o2bo$26bobo3$12b2o2$13bo2$o$3ob2o$o5$11bo$10bobo
4$9bo3bo$11bo!

[Extrementhusiast]

Score! (I think.)

Code: Select all

x = 17, y = 18, rule = sansdomino_s13
14bo$14bobo9$2o$2bo4$11b2o2$11bo!