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SansDomino rulespace

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SansDomino rulespace

Postby Tropylium » January 26th, 2012, 5:53 pm

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
..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:
# 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:
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:
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:
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…
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Re: SansDomino rulespace

Postby Tropylium » January 26th, 2012, 11:25 pm

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

Reactions aplenty:
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:
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:
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:
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!
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Re: SansDomino rulespace

Postby Hektor » February 2nd, 2012, 2:16 pm

Wow, awesome rules!
I packed them into different ruletables for comodity for convenience:
sansdomino_S.zip
Corrected the S0123 file
(8.33 KiB) Downloaded 202 times


I just love /S123
x = 51, y = 6, rule = sansdomino_S123
b13o$3o26b2o2b2o2b2o2b2o2b2o2b2o$b13o15b2o2b2o2b2o2b2o2b2o2b2o3$28bo3b
o3bo3bo3bo3bo!


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


EDIT: Updated the zip
Last edited by Hektor on February 3rd, 2012, 4:59 am, edited 1 time in total.
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Re: SansDomino rulespace

Postby Wojowu » February 2nd, 2012, 4:27 pm

p1 stabilization for first pattern
x = 3, y = 3, rule = sansdomino_S123
bo$2bo$2o!

Turn by 90 degrees
x = 10, y = 6, rule = sansdomino_S123
6bo$9bo2$b3o$4bo$4o!

Also, your S123 is S0123, because alone dots survive
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Re: SansDomino rulespace

Postby Tropylium » February 2nd, 2012, 10:05 pm

Pseudo p40 bigun (easily generalizable for larger periods) for S14:
x = 27, y = 21, rule = sansdomino_s14
12bobo$o11bobo11bo$13bo6bo$o18bo3bo2bo$20bo8$13bo$12bobo$12bobo3$o25bo
$16bo$o11bo4bo8bo$16bo!
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Re: SansDomino rulespace

Postby EricG » February 3rd, 2012, 12:02 am

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!)

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:

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?
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Re: SansDomino rulespace

Postby Hektor » February 3rd, 2012, 5:21 am

Also, your S123 is S0123, because alone dots survive

Thank's it's fixed now...

Also another 90 degrees turn:
x = 15, y = 5, rule = sansdomino_s0123
13b2o$14bo$bo12bo$2bo11bo$2o!


With which is very easy to make a U-Turn
x = 15, y = 7, rule = sansdomino_s0123
10b4o$10bo$13b2o$14bo$bo12bo$2bo11bo$2o!


T-splitter:
x = 17, y = 11, rule = sansdomino_s0123
15bo$11bo4bo$9b3o2$b2o$3bo10bo$3o2$9b3o$11bo4bo$15bo!
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Re: SansDomino rulespace

Postby Wojowu » February 3rd, 2012, 6:39 am

Double glider gun in S14
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!
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Re: SansDomino rulespace

Postby Extrementhusiast » February 4th, 2012, 2:57 pm

Two-glider syntheses for S14:
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.
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Re: SansDomino rulespace

Postby Extrementhusiast » February 14th, 2012, 7:04 pm

Some synthesized and non-synthesized objects in S13:
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!
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Re: SansDomino rulespace

Postby Extrementhusiast » February 19th, 2012, 8:30 pm

Updated from previous post:
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!
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Re: SansDomino rulespace

Postby Extrementhusiast » February 20th, 2012, 2:00 pm

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:
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.
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Re: SansDomino rulespace

Postby Wojowu » February 21st, 2012, 10:23 am

Almost-gun:
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
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Re: SansDomino rulespace

Postby Tropylium » February 22nd, 2012, 8:13 am

The "flat" p4 works as an eater or reflector:
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:
x = 5, y = 10, rule = sansdomino_s13
2bo$5o4$2bo$2bo$bobo$2bo$2bo!


ETA²: Sparky glider shuttle.
x = 28, y = 25, rule = sansdomino_s13
12bo4$12bo2$6bo3bo3bo3bo2$12bo2$21b2o3b2o$23bo$12bo8b2o3b2o4$2o3b2o5bo
$4bo7bo$2o3b2o6bo2$15bo$15bo$13b2ob2o$15bo$15bo!
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Re: SansDomino rulespace

Postby Extrementhusiast » February 25th, 2012, 2:05 pm

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:
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.
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Re: SansDomino rulespace

Postby Tropylium » February 25th, 2012, 10:16 pm

Extrementhusiast wrote:Or a p28 edge-reflector.

Would this work?
x = 14, y = 14, rule = sansdomino_s13
2$bo$bo2$bo$bo4$13bo$12bo$12bo!


—A glider-supported 3c/36 engine:
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!
Last edited by Tropylium on February 28th, 2012, 5:54 pm, edited 2 times in total.
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Re: SansDomino rulespace

Postby Tropylium » February 27th, 2012, 5:15 pm

Strict still life stamp collection:
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"
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!
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Re: SansDomino rulespace

Postby Tropylium » February 28th, 2012, 5:55 pm

Tropylium wrote:
Extrementhusiast wrote:Or a p28 edge-reflector.

Would this work?
x = 14, y = 14, rule = sansdomino_s13
2$bo$bo2$bo$bo4$13bo$12bo$12bo!

…Work it does, if a little awkwardly. P168 gun:
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.)
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Re: SansDomino rulespace

Postby beebop » February 28th, 2012, 7:43 pm

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

Postby Tropylium » February 28th, 2012, 8:19 pm

# 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:
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:
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:
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!
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Re: SansDomino rulespace

Postby Extrementhusiast » February 28th, 2012, 9:12 pm

Some nice little two-stream reactions:
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!
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Re: SansDomino rulespace

Postby Wojowu » February 29th, 2012, 4:34 pm

Some patterns: seven glider construction of sparker (4 to main reaction + 3 to clean debris)...
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
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
x = 4, y = 3, rule = sansdomino_s13
3bo$o2bo$o!

domino can be changed to it
x = 7, y = 2, rule = sansdomino_s13
o3bobo$o3bo!

moving it 1 cell forwards
x = 10, y = 4, rule = sansdomino_s13
3bo$o2bo4b2o$o$8bo!

some off-slope reactions
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
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
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
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
First question ever. Often referred to as The Question. When this question is asked in right place in right time, no one can lie. No one can abstain. But when The Question is asked, silence will fall. Silence must fall. The Question is: Doctor Who?
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Re: SansDomino rulespace

Postby Extrementhusiast » March 4th, 2012, 4:30 pm

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

Postby Osiris » March 5th, 2012, 6:53 am

Tropylium wrote: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:
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:
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!
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Re: SansDomino rulespace

Postby Extrementhusiast » March 7th, 2012, 3:22 pm

Score! (I think.)
x = 17, y = 18, rule = sansdomino_s13
14bo$14bobo9$2o$2bo4$11b2o2$11bo!
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