Live Free or Die

For discussion of other cellular automata.
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lukebradford
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Re: Live Free or Die

Post by lukebradford » October 3rd, 2014, 3:56 pm

These are great. I wonder if there's a way to cut off the wave in the middle so it doesn't grow, which would allow us to build spaceships with arbitrary wing length.

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lukebradford
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Re: Live Free or Die

Post by lukebradford » October 3rd, 2014, 3:59 pm

This looked so promising for about 15 generations:

Code: Select all

x = 85, y = 76, rule = B2/S0
51bobo$50bo3bo$55bo$56bo$57bo$58bo$59bo$60bo$57bo3bo$58bo3bo$63bo$64bo
$65bo$66bo$63bo3bo$64bo3bo$69bo$70bo$71bo$72bo$46bo22bo3bo$45b2obo21bo
3bo$16bo5bo5bo17bo2bo25bo$35bo13bo26bo$34b2o5b6obo28bo$16bo6bo5bo4bo7b
o2bobo30bo$15bobo16b2o2bo4b3o29bo3bo$14bob2o17bo2b2o11bo24bo3bo$15b2ob
o8bo2bo6bo6b2o4b3o3bo3bo4bo4bo10bo$18bo9b2o12b2o2bo2b3o9bob3o5bo10bo$
18bo5b3o7bo8b2o3bobo14b2o6bo9bo$5bobo2bo11b2o12b4o3bob2obobo13bo7b3o2b
o6bo$21bo19bobo10b3o2bo4b4o4b4o5bo2bo$21bo31b2o7b3obobob2o11bo$4b2o7bo
7bobo22b2o5bo2b3o11bo4bo3bobo$5o5b2o2bo10bo16b2o3bobo4bo3b2o4b2o7b5o3b
o$4bo2bo2b2o2bo10bo21bobobo3bo3b3o3bobob3o4b2o$23bo31bobo2bo7b2obo10bo
$23bo31bobo2bo7b2obo10bo$4bo2bo2b2o2bo10bo21bobobo3bo3b3o3bobob3o4b2o$
5o5b2o2bo10bo16b2o3bobo4bo3b2o4b2o7b5o3bo$4b2o7bo7bobo22b2o5bo2b3o11bo
4bo3bobo$21bo31b2o7b3obobob2o11bo$21bo19bobo10b3o2bo4b4o4b4o5bo2bo$5bo
bo2bo11b2o12b4o3bob2obobo13bo7b3o2bo6bo$18bo5b3o7bo8b2o3bobo14b2o6bo9b
o$18bo9b2o12b2o2bo2b3o9bob3o5bo10bo$15b2obo8bo2bo6bo6b2o4b3o3bo3bo4bo
4bo10bo$14bob2o17bo2b2o11bo24bo3bo$15bobo16b2o2bo4b3o29bo3bo$16bo6bo5b
o4bo7bo2bobo30bo$34b2o5b6obo28bo$35bo13bo26bo$16bo5bo5bo17bo2bo25bo$
45b2obo21bo3bo$46bo22bo3bo$72bo$71bo$70bo$69bo$64bo3bo$63bo3bo$66bo$
65bo$64bo$63bo$58bo3bo$57bo3bo$60bo$59bo$58bo$57bo$56bo$55bo$50bo3bo$
51bobo!

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velcrorex
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Re: Live Free or Die

Post by velcrorex » October 3rd, 2014, 6:27 pm

Here's a couple options:

Code: Select all

x = 128, y = 206, rule = B2/S0
108bo$107b3o$106boo$104boboo$102bob5o$101bo4bobo$101bo4b3o$103b3obbo$
103b3obbo$84bo16bo4b3o$83bo7bo9bo4bobo$83bo18bob5o$84bo6bo12boboo$85bo
20boo$107b3o$109boo$82bobo5bo5bo5bo5bo$81bo9bo5bo5bo5bo4bo5bo$80bo3bo$
79bo40bo$78bo9bo5bo5bo12bo5b3o$77bo33boboo3booboo$76bo23bo9bo3bo4b3o$
75bo3bo13bo5b3o6bo5bo5bo$74bo3bo12boboo3booboo5bo5bo5bo$73bo16bo3bo4b
3o8bo3bo4b3o$72bo15bo5bo5bo10boboo3booboo$71bo16bo5bo5bo12bo5b3o$70bo
19bo3bo4b3o18bo$69bo3bo17boboo3booboo$68bo3bo20bo5b3o$67bo32bo$66bo$
65bo$64bo$63bo3bo$62bo3bo$61bo$60bo$59bo$58bo$57bo3bo$56bo3bo$55bo$54b
o$53bo$52bo$51bo3bo$50bo3bo$49bo$48bo$47bo$46bo$45bo3bo$44bo3bo$43bo$
42bo$41bo$40bo$39bo3bo$38bo3bo$37bo$36bo$35bo$34bo$33bo3bo$32bo3bo$31b
o$30bo$29bo$28bo$27bo3bo$26bo3bo$25bo$24bo$23bo$22bo$21bo3bo$20bo3bo
51bo$19bo49bo5b3o$18bo48boboo3booboo$17bo48bo3bo4b3o$16bo47bo5bo5bo$
15bo3bo44bo5bo5bo$14bo3bo47bo3bo4b3o$13bo53boboo3booboo$12bo56bo5b3o$
11bo64bo$10bo25bo$9bo3bo21bo22bo5bo5bo5bo$8bo3bo22bo9bo3bobo$7bo28bobo
14bo$6bo30bo14b3obbo5bo4bo$5bo33bo4bo6bobo19bo$4bo18bobo13bobob3obbobb
o16bo4bo$3bo3bo6bobo3bo5bo3bo7bobbobbobbobbo16bo5bo$bbo3bo33bo5b4obbo
6bobbo9b3o$bo7boo20bo6boo6bo9bo3boo11bo11bo4bo$o10bobbo3bo6bo4b3obboob
oobo6boo7bo6boo17booboobo5bo$o5bo8bo7bobbobobbob5o6bo6bo12b3obo5boo6bo
bbobbo$bobo3bo3bob4o3bobb4obo4bobo6bo4bo17bobo11bo5bo6bo5bobbo$3b4o3bo
4bobbo6boo12boo4bo19boboobo11bo8bo7boo$3bobbo5bobbo4bo3bo17bobbo16bobo
3bobo5bo8bobboo3bo$6bo3bo3bo4bo9bo3bobbooboo20bobo5bo24bo$bbo8bo7bobo
21boo15bo5bobbo18boo$bbo8bo7bobo21boo15bo5bobbo18boo$6bo3bo3bo4bo9bo3b
obbooboo20bobo5bo24bo$3bobbo5bobbo4bo3bo17bobbo16bobo3bobo5bo8bobboo3b
o$3b4o3bo4bobbo6boo12boo4bo19boboobo11bo8bo7boo$bobo3bo3bob4o3bobb4obo
4bobo6bo4bo17bobo11bo5bo6bo5bobbo$o5bo8bo7bobbobobbob5o6bo6bo12b3obo5b
oo6bobbobbo$o10bobbo3bo6bo4b3obbooboobo6boo7bo6boo17booboobo5bo$bo7boo
20bo6boo6bo9bo3boo11bo11bo4bo$bbo3bo33bo5b4obbo6bobbo9b3o$3bo3bo6bobo
3bo5bo3bo7bobbobbobbobbo16bo5bo$4bo18bobo13bobob3obbobbo16bo4bo$5bo33b
o4bo6bobo19bo$6bo30bo14b3obbo5bo4bo$7bo28bobo14bo$8bo3bo22bo9bo3bobo$
9bo3bo21bo22bo5bo5bo5bo$10bo25bo$11bo64bo$12bo56bo5b3o$13bo53boboo3boo
boo$14bo3bo47bo3bo4b3o$15bo3bo44bo5bo5bo$16bo47bo5bo5bo$17bo48bo3bo4b
3o$18bo48boboo3booboo$19bo49bo5b3o$20bo3bo51bo$21bo3bo$22bo$23bo$24bo$
25bo$26bo3bo$27bo3bo$28bo$29bo$30bo$31bo$32bo3bo$33bo3bo$34bo$35bo$36b
o$37bo$38bo3bo$39bo3bo$40bo$41bo$42bo$43bo$44bo3bo$45bo3bo$46bo$47bo$
48bo$49bo$50bo3bo$51bo3bo$52bo$53bo$54bo$55bo$56bo3bo$57bo3bo$58bo$59b
o$60bo$61bo$62bo3bo$63bo3bo$64bo$65bo35bo$66bo27bo5b3o$67bo24boboo3boo
boo$68bo3bo18bo3bo4b3o$69bo3bo15bo5bo5bo$70bo18bo5bo5bo$71bo19bo3bo4b
3o$72bo19boboo3booboo$73bo20bo5b3o$74bo3bo22bo$75bo3bo$76bo7bo4bo5bo5b
o$77bo$78bo$79bo4bo$80bo3bo4bo5bo5bo5bo5bo5bo5bo$84bo$125bo$81bo8bo5bo
5bo15bo5b3o$80bobbo32boboo3booboo$80bo21bo12bo3bo4b3o$81bo13bo5b3o9bo
5bo5bo$93boboo3booboo8bo5bo5bo$92bo3bo4b3o11bo3bo4b3o$90bo5bo5bo13bob
oo3booboo$90bo5bo5bo15bo5b3o$92bo3bo4b3o21bo$93boboo3booboo$95bo5b3o$
102bo!
-Josh Ball.

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lukebradford
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Re: Live Free or Die

Post by lukebradford » October 4th, 2014, 9:22 am

Extremely cool.

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simsim314
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Re: Live Free or Die

Post by simsim314 » October 5th, 2014, 3:19 am

Here is a c/3 p6 spaceship (first of this velocity):

Code: Select all

x = 118, y = 29, rule = B2/S0
9bo32bo37bo$8b3o23bo42bo$8bob2obobo14bo3b4o42bo3bobo15bo$2b3o8bo4bo3bo
6bo3b3obo36bo5bo18bo7bo$4b2o5bo9bo3bobobo4bob4o8bo7bo16bo5b2o24bo2bo$o
3b2o5bob2o6bo5bo6bo3bobo6b2obo4b3o20b2o11bo12bo2bo5b3o$o15b2o3b5o8bo6b
o6bo5b2o19bo2b2ob2o2b2o2b2o4bo16bobo$o3bob2o5bo5bo2bobo2bo5b3o4b2o7bo
6bo4bo9bo2bo2b3o2bo4bo12bo12bo$o3bo9bo4bo5b6o2bo2bo4b2ob2o5bo8bobo5b3o
7bo19bo2bo$o3bo2bo5bobo2bo5b2o2bo3bo4bo2bo4b2o3bo3bo6bo11bo8bo2bobo9bo
2bo13bo$bo3b2o4bobo3bo3bo2b2o5bo5bo6bo2bo9bo9b2o10bo2bo5bo26bobo$4b2o
7bo6b3o5bob2ob3obo3bobo5b3o14bo2bo13bo7bobo$5b3o4bo21b2o3bo3b2o5bo13bo
2b2o10bo2b3o$8bo4bo11bo4bo10bo3bo4b2o3b4o7b2o$13bo2bo7bo2bo2bo20bo2b2o
7bo3bo20bo$8bo4bo11bo4bo10bo3bo4b2o3b4o7b2o$5b3o4bo21b2o3bo3b2o5bo13bo
2b2o10bo2b3o$4b2o7bo6b3o5bob2ob3obo3bobo5b3o14bo2bo13bo7bobo$bo3b2o4bo
bo3bo3bo2b2o5bo5bo6bo2bo9bo9b2o10bo2bo5bo26bobo$o3bo2bo5bobo2bo5b2o2bo
3bo4bo2bo4b2o3bo3bo6bo11bo8bo2bobo9bo2bo13bo$o3bo9bo4bo5b6o2bo2bo4b2ob
2o5bo8bobo5b3o7bo19bo2bo$o3bob2o5bo5bo2bobo2bo5b3o4b2o7bo6bo4bo9bo2bo
2b3o2bo4bo12bo12bo$o15b2o3b5o8bo6bo6bo5b2o19bo2b2ob2o2b2o2b2o4bo16bobo
$o3b2o5bob2o6bo5bo6bo3bobo6b2obo4b3o20b2o11bo12bo2bo5b3o$4b2o5bo9bo3bo
bobo4bob4o8bo7bo16bo5b2o24bo2bo$2b3o8bo4bo3bo6bo3b3obo36bo5bo18bo7bo$
8bob2obobo14bo3b4o42bo3bobo15bo$8b3o23bo42bo$9bo32bo37bo!

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velcrorex
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Re: Live Free or Die

Post by velcrorex » October 5th, 2014, 9:16 am

Very cool. I had searched for such ships without success. You can remove the last little bit of your ship and it still works.
-Josh Ball.

pi_guy314
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Re: Live Free or Die

Post by pi_guy314 » October 5th, 2014, 12:51 pm

Here is a replicator that travels within a line of dot created by these two puffer.

Code: Select all

x = 171, y = 15, rule = B2/S0
167bo$bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo6bo$167bo2bo
$170bo$169bo$o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo2bo3bo4bo3bo3bo3bo3bo3bo2bo3bo4bo3bo3bo3bo3bo$
108bo3bo27bo3bo$106b3ob3o25b3ob3o$108bo3bo27bo3bo$o3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo2bo3bo4bo
3bo3bo3bo3bo3bo2bo3bo4bo3bo3bo3bo3bo$169bo$170bo$167bo2bo$bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo6bo$167bo!
I noticed that these replicator are found in already existing pattern, but their replication property aren't that noticable.

Sphenocorona
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Re: Live Free or Die

Post by Sphenocorona » October 6th, 2014, 12:43 am

pi_guy314 wrote:Here is a replicator that travels within a line of dot created by these two puffer.
That replicator is known as 'anchor tracks'.

wildmyron
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Re: Live Free or Die

Post by wildmyron » October 6th, 2014, 3:40 am

simsim314 wrote:Here is a c/3 p6 spaceship (first of this velocity):
...
Congratulations on the find!

My own search at 2c/6 mentioned earlier only went as far as widths of 27 and 28 with bilateral symmetry. I'm still running the other searches at c/6 and c/7.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

pi_guy314
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Re: Live Free or Die

Post by pi_guy314 » October 6th, 2014, 11:59 am

Sphenocorona wrote:
pi_guy314 wrote:Here is a replicator that travels within a line of dot created by these two puffer.
That replicator is known as 'anchor tracks'.
How come the lfod wiki says that there are no known replicator.

Sphenocorona
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Re: Live Free or Die

Post by Sphenocorona » October 6th, 2014, 2:50 pm

Because it doesn't replicate by itself, it needs support to work. An OTCA Metapixel in B3/S23 can simulate any replica tor in any outer-totalistic rule. However, B3/S23 was described as having no known replicators for years after the Metapixel was created. Anchor tracks is just as much as a single on cell in Replicator rule being simulated by the OTCA Metapixel.

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lukebradford
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Re: Live Free or Die

Post by lukebradford » October 6th, 2014, 9:15 pm

Congratulations on the c/3 ship! Awesome stuff.

Yes, anchor tracks don't qualify as replicators in the normal sense, because they don't operate in empty space.

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simsim314
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Re: Live Free or Die

Post by simsim314 » October 13th, 2014, 10:17 am

Hey thx all for the congrats.

I'm currently offering my prize money for this challenge:
viewtopic.php?f=11&t=1479

wildmyron
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Re: Live Free or Die

Post by wildmyron » October 13th, 2014, 11:44 pm

Similar to the moon eater, a moon can pull a pair of checkers in the right phase, but they are moved 4 cells in place of 2. This means p4 back rakes which move at c can be converted into spaceships, e.g.

Code: Select all

x = 39, y = 18, rule = B2/S0
33bo$32bobo$32bo2bo$32bobo2bo$35bobo$34b2o$bo$o10bo7bo7bo9bo$10bo7bo7b
o7b2o2bo$10bo7bo7bo7b2o2bo$o10bo7bo7bo9bo$bo$34b2o$35bobo$32bobo2bo$
32bo2bo$32bobo$33bo!
This seems surprisingly simple to be undiscovered, but I couldn't find it on the wiki.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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velcrorex
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Re: Live Free or Die

Post by velcrorex » October 14th, 2014, 7:17 am

wildmyron wrote:This seems surprisingly simple to be undiscovered, but I couldn't find it on the wiki.
I have it in my files:

Code: Select all

x = 93, y = 20, rule = B2/S0
40bo$5bo33bo4bo$4bobo32bo3bo$3bobbo34bo11bo5bo$bobbobo35bo8bobobobb3o$
bobo43bo4b3obbooboo$3boo46bo5b4o$50bo6bobo27bobbobo$bo9bo7bo7bo7bo7bo
12bo10bo7bo7bobbo$obboo7bo7bo7bo7bo7bo5bobo5bobo7bo7bo7bo$obboo7bo7bo
7bo7bo7bo5bobo5bobo7bo7bo7bo$bo9bo7bo7bo7bo7bo12bo10bo7bo7bobbo$50bo6b
obo27bobbobo$3boo46bo5b4o$bobo43bo4b3obbooboo$bobbobo35bo8bobobobb3o$
3bobbo34bo11bo5bo$4bobo32bo3bo$5bo33bo4bo$40bo!
-Josh Ball.

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lukebradford
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Re: Live Free or Die

Post by lukebradford » October 14th, 2014, 11:08 am

Yes, that reaction should definitely be on the wiki. It's in the pattern collection in Reactions.rle, but I never named it as a 'trailer', which is definitely where it's most useful.

I'll accept suggestions for a name for that trailer, and simsim314 is opening the floor to suggestions for the name of the c/3 spaceship. I'd like to catalogue the tagalong for that ship separately, so I'll also take name suggestions for that.

wildmyron
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Re: Live Free or Die

Post by wildmyron » October 15th, 2014, 6:34 am

Similar to the p4 moon eater in reactions.rle, two p8 sparklers can operate as a moon eater:

Code: Select all

x = 37, y = 24, rule = B2/S0
obo$b3o$3o$bo3bo$4b3o$3b2ob2o$4b4o$5b2o2bo2$7bobo$12bo7bo7bo7bo$11bo7b
o7bo7bo$11bo7bo7bo7bo$12bo7bo7bo7bo$7bobo2$5b2o2bo$4b4o$3b2ob2o$4b3o$b
o3bo$3o$b3o$obo!
In reactions.rle on the wiki, there is a one time 180deg moon reflector made up of two dots. One dot is pulled 2 cells and the other dissapears. The same reaction as above can be used in place of the moved dot, but I haven't found a way of recreating the dot which disappears.

Code: Select all

x = 21, y = 16, rule = B2/S0
obo$b3o$3o$bo3bo$4b3o$3b2ob2o$4b4o$5b2o2bo2$7bobo$20bo$19bo$19bo$20bo
2$9bo!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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lukebradford
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Re: Live Free or Die

Post by lukebradford » October 15th, 2014, 10:58 am

That sparkler reflector looks promising!

Sphenocorona
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Re: Live Free or Die

Post by Sphenocorona » October 15th, 2014, 11:27 pm

I previously discovered how to replace either of the dots in the one-time reflector, and the only known oscillator with the right configuration to work for the other dot is the Monster:

Code: Select all

x = 35, y = 16, rule = B2/S0
10bo2bo6bo2bo$11b2o8b2o2$7bobo5bo3bo5bo4bo2$5b2o2bo$4b4o19b2o$3b2ob2o
19b2o$4b3o17bo2b2o2bo$bo3bo15b4o6b4o$3o21bo2b2o2bo$b3o23b2o$obo24b2o3$
25bo4bo!
Unfortunately, the specific spot the reaction requires leaves the Monster too close to whatever oscillator is used for the more common corner spark-thing used for the other dot:

Code: Select all

x = 26, y = 15, rule = B2/S0
11bo2bo$9bob3o$8b3o5bo4bo$6bobob2o$9b2o7b2o$17bo2bo$9bo$3bo8bo3b2o2b2o
3bo$4bo12bo2bo$5bo6bo3b2o2b2o3bo$o$17bo2bo$2bo15b2o2$16bo4bo!

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lukebradford
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Re: Live Free or Die

Post by lukebradford » October 17th, 2014, 3:30 pm

Looks like we're getting closer to a reflector.

It seems obvious looking at it now, but that c/3 ship is extensible in cool ways:

Code: Select all

x = 208, y = 73, rule = B2/S0
203b3o$199bo2bobo$203bo2$196b3o5bo$178bo13bo2bobo7bobo$175bo7bo12bo$
181bo2bo$180bo2bo5b3o5bo$171bo16bobo7bobo$157b3o8bo7bo12bo$153bo2bobo
15bo2bo$157bo15bo2bo13bo$164bo26bobo$150b3o5bo10bo$132bo13bo2bobo7bobo
5bo2bo$129bo7bo12bo15bo2bo$135bo2bo$134bo2bo5b3o5bo$125bo16bobo7bobo$
111b3o8bo7bo12bo$107bo2bobo15bo2bo$8bo34bo34bo32bo15bo2bo13bo$9bo24bo
3bobo38bo2bobo33bo26bobo$12bo3bo2bobo7bo11bo62b3o5bo10bo$10bob3obobo3b
o4bobo2bo5bo3bo33bo23bo2bobo7bobo5bo2bo$13bobo16bo5b2o3bo7bo23bobo3bo
4bo17bo15bo2bo$bo2bo3b3o2bo2bobo7bo5bo6b2o9b3o22b2o9bo4bo$obo7b2ob3o2b
o2bo10bo7b2obo2bo5b2o19b2o2b2o2b2obobo4b2o4b3o5bo$7bo2bo4bo5bo10b2obo
9bo2bo2bo3b2o16bo6b3o3bo4bo4bobo7bobo$7bo7bo3b2o6bo4bo12bo3b2o3bo17bo
8bo8bobo4bo$o6bo3bo9bo5b4obo11bo10bo2b2o5bo3bo2bo7bo8bobo$bo4bo11b3o7b
o4bo5bo12bo7bo3b2ob2o3bo5bo4bob2o3bo7bo$4bo2bo16bo2b2o4bo3bobo3bo9bob
2o3bo11bo9bo6bo9bobo$6bo5bo2bo2b2o18b3o2bob2o17bo23bo$8bo4bo2bo20b3o
18bo2bobo2bobo$8bo7b2o3b2o14bob2o7b2o8bo3b3ob3o20bo$8bo4bo2bo20b3o18bo
2bobo2bobo$6bo5bo2bo2b2o18b3o2bob2o17bo23bo$4bo2bo16bo2b2o4bo3bobo3bo
9bob2o3bo11bo9bo6bo9bobo$bo4bo11b3o7bo4bo5bo12bo7bo3b2ob2o3bo5bo4bob2o
3bo7bo$o6bo3bo9bo5b4obo11bo10bo2b2o5bo3bo2bo7bo8bobo$7bo7bo3b2o6bo4bo
12bo3b2o3bo17bo8bo8bobo4bo$7bo2bo4bo5bo10b2obo9bo2bo2bo3b2o16bo6b3o3bo
4bo4bobo7bobo$obo7b2ob3o2bo2bo10bo7b2obo2bo5b2o19b2o2b2o2b2obobo4b2o4b
3o5bo$bo2bo3b3o2bo2bobo7bo5bo6b2o9b3o22b2o9bo4bo$13bobo16bo5b2o3bo7bo
23bobo3bo4bo17bo15bo2bo$10bob3obobo3bo4bobo2bo5bo3bo33bo23bo2bobo7bobo
5bo2bo$12bo3bo2bobo7bo11bo62b3o5bo10bo$9bo24bo3bobo38bo2bobo33bo26bobo
$8bo34bo34bo32bo15bo2bo13bo$107bo2bobo15bo2bo$111b3o8bo7bo12bo$125bo
16bobo7bobo$134bo2bo5b3o5bo$135bo2bo$129bo7bo12bo15bo2bo$132bo13bo2bob
o7bobo5bo2bo$150b3o5bo10bo$164bo26bobo$157bo15bo2bo13bo$153bo2bobo15bo
2bo$157b3o8bo7bo12bo$171bo16bobo7bobo$180bo2bo5b3o5bo$181bo2bo$175bo7b
o12bo$178bo13bo2bobo7bobo$196b3o5bo2$203bo$199bo2bobo$203b3o!
I'm going to call it the wasp ship unless anybody has a better idea for a name.

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lukebradford
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Re: Live Free or Die

Post by lukebradford » December 17th, 2014, 5:32 pm

Here's a simple rule that exhibits the same behavior as anchor tracks, where four generations in Live Free or Die correspond to one in AnchorTracks. State 1 represents an empty slot in the track, and state 2 represents a filled slot (with the anchor pointing left.) I haven't paid any attention to patterns other than isolated horizontal lines of cells.

Code: Select all

@RULE AnchorTracks
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
1,0,0,2,0,0,0,0,0,2 #  —(
2,0,0,2,0,0,0,0,0,1 #  ((
2,0,0,2,0,0,0,2,0,1 # (((
1,0,0,1,0,0,0,2,0,2 # (--
2,0,0,1,0,0,0,1,0,1 # -(-
1,0,0,2,0,0,0,1,0,2 # --(
1,0,0,0,0,0,0,2,0,2 # (-
2,0,0,0,0,0,0,1,0,1 # -(
For example, here are the first few anchor track iterations:

Code: Select all

x = 13, y = 34, rule = AnchorTracks
BA3$B2A3$B3A3$B4A3$B5A3$B6A3$B7A3$B8A3$B9A3$B10A3$B11A3$B12A!
I don't imagine this will be very useful, but it was an interesting exercise!

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lukebradford
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Re: Live Free or Die

Post by lukebradford » December 17th, 2014, 6:17 pm

And here's a version where one generation corresponds to two generations in Live Free or Die, with state 2 representing anchors pointing left and state 3 representing anchors pointing right:

Code: Select all

@RULE AnchorTracks2
@TABLE
n_states:4
neighborhood:Moore
symmetries:none
2,0,0,0,0,0,0,0,0,3
3,0,0,0,0,0,0,0,0,2

2,0,0,1,0,0,0,0,0,3
3,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,0,1,0,3
3,0,0,0,0,0,0,1,0,2

2,0,0,2,0,0,0,0,0,1
3,0,0,3,0,0,0,0,0,2
2,0,0,0,0,0,0,2,0,3
3,0,0,0,0,0,0,3,0,1

2,0,0,1,0,0,0,1,0,3
3,0,0,1,0,0,0,1,0,2

2,0,0,2,0,0,0,1,0,1
3,0,0,3,0,0,0,1,0,2
2,0,0,1,0,0,0,2,0,3
3,0,0,1,0,0,0,3,0,1

2,0,0,2,0,0,0,2,0,1
3,0,0,3,0,0,0,3,0,1

1,0,0,1,0,0,0,3,0,2
1,0,0,2,0,0,0,1,0,3

1,0,0,3,0,0,0,3,0,2
1,0,0,2,0,0,0,2,0,3

1,0,0,0,0,0,0,3,0,2
1,0,0,2,0,0,0,0,0,3

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glider_rider
Posts: 88
Joined: February 20th, 2013, 5:41 pm
Location: CA

Re: Live Free or Die

Post by glider_rider » December 17th, 2014, 7:21 pm

A c/2 backrake:

Code: Select all

x = 38, y = 75, rule = B2/S0
10$16b2o$15bo2bo2$14b6o2b2o6bo$19bobo2bo4b3o$9bo5bo3bo10bo$8bobo5bob3o
4b4o$9bo12b2obo$7b3o10b4ob2o2b2o$8bo3b2o6bobobo6bo$9b2o2b3o3bo2b2ob3ob
2o$10b2obo3bo3bobo$15bobo2bo8bo$18bo3bo$13bo4bo2b2o$18bo3b2o2bo$15b2o
4b2o$14bob2o3bo$15b2o3b3o2bo$15b3o3bo$12bob3o4b2o$17bo3bo5bo$18b3obo3b
o$12bo8bo3bo$11b2o7bo2bo$12bobo4bo5bo2bo$12bo2bo6b2o5bo$15bo$17bo11bo$
11b2o2bo2bo5bo$23bo$18bo4bo4bo$17bo8bo$8bo2bob4o6bo$13bo5b4o2b2o4bo$
10bo2bobo4bob2o2bo$9bo6bo2bo8bo2$9bo17bobo$10b4obo9bo4bo$15b2o7bo$15bo
4bo$19bo$12bo2b2o5b2o$11b2o2bo7bo$12bo3bo7b4o$13bo$27bo2$8bo5bobo5bo5b
obo$9b4o4bo5b4o4bo!
It can be stabilized into a spaceship with a component to eat the moons at c/2:

Code: Select all

x = 33, y = 214, rule = B2/S0
4$15bo$18bo$11bo3bobo$16bo5bo$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo
2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o
$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$
13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo
2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o
$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$
13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo
2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o
$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$
13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo
2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o$18bo2bo2$13b2o$12bo2bo2$19b2o
$18bo2bo2$5bobo5b2o3bo2bo$12bobo3b3o5bo$14b2o11bo$7bob2o5bo11bo$8bo3bo
$5bo7bobo9bo2bo$16bo5bobo$7b3ob2o3bo3bo5bo$11bobo3bo2bo$10bo$11b3o2b2o
5bo$11bo3bobo$20bo$15bo6bo$10bo9bo$9b2o4bo$10b2o8bo2bo$14bo7bobo$10bo
4bo4b2obo$16bob3ob2o$12bo4b2o3bo3bo$8bo4bo7bo3bo$11bo7b2o4b3o$8b2ob2o
2bo10bo$12b3o5bo$8b2o4b3o2bo$14bo4bobo2b2o$9b2o4bo3b3ob2o$5bo2bo5b3o4b
o2bo$6b3o15bo3bo$6bo2bo3bobo5bo$7bo3b2o4b4o3b2o$5b3o16bobo$10b2o11b3ob
o$6bo14bobob2o$7bo2bo11bo$11bo4bo$11bo5b4o$10b2o9bo$11bo2bo9bo$11b2o7b
o$9bo11bo3bo$24bo$12bo11b3o$9b4obo8b4obo$5bo4bob2o5bo4bob2o$6bo2bo10bo
2bo!
Nico Brown

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lukebradford
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Location: Cambridge, MA
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Re: Live Free or Die

Post by lukebradford » December 18th, 2014, 10:16 am

Nice! Mind if I add it to the Wiki?

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glider_rider
Posts: 88
Joined: February 20th, 2013, 5:41 pm
Location: CA

Re: Live Free or Die

Post by glider_rider » December 18th, 2014, 11:41 am

I don't mind at all, thanks!
Nico Brown

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