Seeds

For discussion of other cellular automata.

Re: Seeds

Small 4c/4 spaceship that’s probably already been discovered:

`x = 6, y = 5, rule = B2/S2bo\$o2bo\$bo3bo\$5bo\$4bo!`

p84 agar:

`x = 10, y = 7, rule = B2/S:T10,10\$2o\$9bo\$9bo\$4bo\$4bo\$2b2o!`
CoolCreeper39

Posts: 58
Joined: June 19th, 2019, 12:18 pm

Re: Seeds

A large diagonal c/3 spaceship I copied from an image:

`x = 100, y = 100, rule = B2/S12bo\$9bo2bo\$5bo3bo3b2o\$3bobo2b2o\$bo\$o4bo2b2o2bo\$9bo2bo2bo\$10bo6bo\$o2b2obo\$6bo6bo4bo\$13b2o\$5b2o7bo\$4bobo2bo2b2o2b2o\$7bobobo2bo\$6bo9bo2b4ob2o\$9bo10bobo2\$7bo10bo2bobo\$21bo3bo\$26b2o\$19bo4b2o\$18bo4bo2b2o\$22b2ob3obo\$17bo4bo\$20bo8bo\$17bo5bo3bo\$16b3o3bo5bo\$19bo6b2o\$16bo3b2o4bob2ob2o\$30bobobo\$28bobobo3bo\$20bobo5bo3bo7bo\$22b4o14bo\$36b2o\$22bo5b2o9b2o\$26bo7b2o2bobo\$25bo4bo9bo\$30bobo7bobo\$34bobo2bo\$31b2o3bo5bo3bo\$29bo3b3o12bo\$33bo6bo3bo3bo\$32bo6bo3bob2o2bo\$31bo4bo5bo2b3o\$49bo3bo\$35bo4bo8bo3bo\$34bo15bo3b2o\$40bo4bo4bo\$41bo5bobo\$43bo8b2o\$51bo2b2obo\$58b2o\$51bo4bo\$56b2o2bo\$52bo3b2o\$58bo\$50bo6bo\$56bo3bobo\$51bo\$52bobo3bo3b4ob2o\$57bo3bo3bo\$64bo\$66bo\$56bo3b2o4bo2bo\$54bo4bo4bo\$53bo5bobo2bo5bo\$58b2o\$57bo2bobo5b4o\$56bo3bo10bo\$62b2o5b2o\$59bo5bo5bo3bobo\$65bo2b2obobo\$72bobo2b2obo\$64bo6b2o4b2obo\$63bo3bo9bobobo3bo\$67bo11bo5bo\$67bo6bo2b2o3bo\$65bob2o4bo2b2o6b2o\$71bo9b2o2bo\$68bo2bo3bo8b2o\$72bo6bo5bo\$73bo4bo3bo7bo\$73b2obo10bo4bo\$71bobo11bobo\$93bo\$86bob2o7bo\$87bob2o6bo\$87bo5b2o3b2o\$86bo\$92bo\$84bob2o5b2ob3o\$94bobo\$82bo3bo\$85bob2ob2o\$88bo5bob2o\$87bo3bo\$91bo4bo2\$95bo\$91bo2bo!`
CoolCreeper39

Posts: 58
Joined: June 19th, 2019, 12:18 pm

Re: Seeds

Some discoveries:

A stabilized puffer can be used to move a duoplet one cell backwards, as shown here repeated 8 times:

`x = 179, y = 14, rule = B2/S35bo87bo\$13bobo17bobobo21bo21bo19bobo17bobobo21bo21bo\$11bo4bo14bobob2obo21bo19bobo16bo4bo14bobob2obo21bo19bobo\$6bo3bo6bo10bo3b5o2bo8bo3bo8bo8bo3bo3b3o2bo10bo3bo6bo10bo3b5o2bo8bo3bo8bo8bo3bo3b3o2bo\$7bo5b2o2bo9bo11bo9bo3bo3b2o2bo11bo3bo5bo11bo5b2o2bo9bo11bo9bo3bo3b2o2bo11bo3bo5bo\$14bobo21bo8b2o8b2obo21bo19bobo21bo8b2o8b2obo21bo\$15bo10bo8bobo10bo8bobo21bo21bo10bo8bobo10bo8bobo21bo\$4bobo21bo17b2o2bo6bo14bo4bo14bobo21bo17b2o2bo6bo14bo4bo\$6bo15bo2bo2bo18bo2bo15bo5bo21bo15bo2bo2bo18bo2bo15bo5bo\$obobo21bo19bobo21bo17bobobo21bo19bobo21bo\$2bo65bo21bo65bo2\$178bo\$177bo!`

A duoplet puffer can partially stabilize another duoplet puffer, as shown here:

`x = 18, y = 26, rule = B2/S2bo3bo\$3bo3bo4bo\$b2o8bobo\$2bo9bobo\$2o2bo8bobo\$bo2bo12bo\$obo14bo\$14bobo\$13bobo\$12bobo\$11bobo\$12bo3\$12bo\$11bobo\$12bobo\$13bobo\$17bo\$obo14bo\$bo2bo9bobo\$2o2bo8bobo\$2bo9bobo\$b2o8bobo\$3bo3bo4bo\$2bo3bo!`

This can stabilize itself in a torus:

`x = 7, y = 13, rule = B2/S:T0,13\$bo\$obo\$bobo\$2bobo\$6bo\$6bo\$3bobo\$2bobo\$bobo\$obo\$bo!`
CoolCreeper39

Posts: 58
Joined: June 19th, 2019, 12:18 pm

Re: Seeds

A collection of spaceships:

`x = 132, y = 331, rule = B2/S44bo\$41bo2bo\$37bo3bo3b2o\$35bobo2b2o\$33bo\$32bo4bo2b2o2bo\$41bo2bo2bo\$42bo6bo\$32bo2b2obo\$38bo6bo4bo\$45b2o\$37b2o7bo\$36bobo2bo2b2o2b2o\$39bobobo2bo\$38bo9bo2b4ob2o\$41bo10bobo2\$39bo10bo2bobo\$53bo3bo\$58b2o\$51bo4b2o\$50bo4bo2b2o\$54b2ob3obo\$49bo4bo\$52bo8bo\$49bo5bo3bo\$48b3o3bo5bo\$51bo6b2o\$48bo3b2o4bob2ob2o\$62bobobo\$60bobobo3bo\$52bobo5bo3bo7bo\$54b4o14bo\$68b2o\$54bo5b2o9b2o\$58bo7b2o2bobo\$57bo4bo9bo\$62bobo7bobo\$66bobo2bo\$63b2o3bo5bo3bo\$61bo3b3o12bo\$65bo6bo3bo3bo\$64bo6bo3bob2o2bo\$63bo4bo5bo2b3o\$81bo3bo\$67bo4bo8bo3bo\$66bo15bo3b2o\$72bo4bo4bo\$73bo5bobo\$75bo8b2o\$83bo2b2obo\$90b2o\$83bo4bo\$88b2o2bo\$84bo3b2o\$90bo\$82bo6bo\$88bo3bobo\$83bo\$84bobo3bo3b4ob2o\$89bo3bo3bo\$96bo\$98bo\$88bo3b2o4bo2bo\$86bo4bo4bo\$85bo5bobo2bo5bo\$90b2o\$89bo2bobo5b4o\$88bo3bo10bo\$94b2o5b2o\$91bo5bo5bo3bobo\$97bo2b2obobo\$104bobo2b2obo\$96bo6b2o4b2obo\$95bo3bo9bobobo3bo\$99bo11bo5bo\$99bo6bo2b2o3bo\$97bob2o4bo2b2o6b2o\$103bo9b2o2bo\$100bo2bo3bo8b2o\$104bo6bo5bo\$105bo4bo3bo7bo\$105b2obo10bo4bo\$103bobo11bobo\$125bo\$118bob2o7bo\$119bob2o6bo\$119bo5b2o3b2o\$118bo\$124bo\$116bob2o5b2ob3o\$126bobo\$114bo3bo\$117bob2ob2o\$120bo5bob2o\$119bo3bo\$123bo4bo2\$127bo\$123bo2bo5\$23bobo4bo\$20bob2o7bo\$11bo5bob2o5bo4bo\$17bo12bo\$11bo5bo5bobo\$17b3o3bo\$17bo12bo\$17bo5bo8bo\$19b3o10bo\$19b3o8bo\$17bo5bo\$17bo\$17b3o3bo6bo\$11bo5bo5bobo6bo\$17bo14bo\$11bo5bob2o5bo4bo\$20bob2o\$23bobo\$34bo\$35bo\$31bo3bo\$23bo6bo2bo\$10bo9bo11bo\$8bo8bo6b2o\$o7bo6bo5b2o\$10bo7b2o3b3o\$o17bo2bo\$21bo9bobo\$18bo2b3o10bo\$15bo2bob2o13bo\$30bobo2bo\$32bobo\$15bo2bob2o11bo\$18bo2b3o\$21bo\$o17bo2bo\$10bo7b2o3b3o\$o7bo6bo5b2o11bobo\$8bo8bo6b2o9bo2bo\$10bo9bo13b2o2bo\$23bo10bobo\$31b3o2bo\$31bo5bo\$31bo5bo\$31b3o2bo\$34bobo\$34b2o2bo\$35bo2bo\$34bobo3\$37bo\$35bobobo\$33bob2o3bo\$32bob3obo3bo\$33b3obo4bo\$31b2obobo4bo\$33bobo\$33bo3\$32bobo\$35bo\$31bo4bo\$37bo\$30b2o2bo2bo\$32b3obo\$31bobobo\$33bo2\$41bobo\$30bobo7bo3bo\$31bo2bo10bo\$30b2o2bo5bobo2bo\$32bo9bobo\$31b2o8bobo\$33bo3bo4bo\$32bo3bo2\$48bo\$49bo\$31bobo11bo3bo\$32bo2bo8bo2bo\$31b2o2bo8bobo\$33bo9bobo\$32b2o8bobo\$34bo3bo4bo\$33bo3bo3\$44bo\$45bo\$33bo3bo8bo\$34bo3bo3b2o2bo\$32b2o8b2obo\$33bo8bobo\$31b2o2bo6bo\$32bo2bo\$31bobo4\$33bo3bo\$34bo3bo4bo\$32b2o8bobo\$33bo9bobo\$31b2o2bo5bobo2bo\$32bo2bo10bo\$31bobo7bo3bo\$42bobo4\$31bobo\$32bo2bo\$31b2o2bo\$33bo\$32b2o\$34bo3bo\$33bo3bo4bo\$43bo\$44bo4bo\$45bo4bo\$34bo3bo7bo3bo\$35bo3bo8bo\$33b2o12bo\$34bo\$32b2o2bo\$33bo2bo\$32bobo5\$32bobo\$33bo2bo\$32b2o2bo\$34bo\$33b2o\$35bo3bo\$34bo3bo4bo\$44bo\$45bo\$46bo\$39bo7bo\$48bo\$48bo\$46bo\$45bo\$44bo\$34bo3bo4bo\$35bo3bo\$33b2o\$34bo\$32b2o2bo\$33bo2bo\$32bobo4\$33bo3bo\$34bo3bo4bo\$32b2o8bobo\$33bo9bobo\$31b2o2bo8bobo\$32bo2bo12bo\$31bobo14bo\$45bobo\$44bobo\$43bobo\$42bobo\$43bo3\$43bo\$42bobo\$43bobo\$44bobo\$48bo\$31bobo14bo\$32bo2bo9bobo\$31b2o2bo8bobo\$33bo9bobo\$32b2o8bobo\$34bo3bo4bo\$33bo3bo3\$33bo3bo\$34bo3bo4bo\$32b2o8bobo\$33bo9bobo\$31b2o2bo8bobo\$32bo2bo12bo\$31bobo14bo\$45bobo\$44bobo\$43bobo\$42bobo\$43bo3\$43bo\$42bobo\$43bobo\$44bobo\$48bo\$48bo\$45bobo\$44bobo\$43bobo\$42bobo\$43bo3\$43bo\$42bobo\$43bobo\$44bobo\$48bo\$31bobo14bo\$32bo2bo9bobo\$31b2o2bo8bobo\$33bo9bobo\$32b2o8bobo\$34bo3bo4bo\$33bo3bo!`

Please tell me if I’m missing any!
CoolCreeper39

Posts: 58
Joined: June 19th, 2019, 12:18 pm

Re: Seeds

CoolCreeper39 wrote:A collection of spaceships:

`<snip spaceship collection>`

Please tell me if I’m missing any!

You should have a look at Jason Summer's pattern collection for Seeds (available from his website), even though it is quite old now it has quite a lot of interesting stuff. There are photons and lightspeed puffers with a range of periods and also c/2 orthogonal spaceships at p2 and p4.

In addition, there are these spaceships with speeds not included in your collection
`#Cc/5 orthogonal spaceships.#CBy Artem Dergachevx = 70, y = 96, rule = B2/S51bo10bo\$7bo10bo27bo2b2o2bo6bo2b2o2bo\$2bo2b2o2bo6bo2b2o2bo21bo3bo4bo4bo4bo3bo\$bo3bo4bo4bo4bo3bo24bo3bobo2bobo3bo\$5bo3bobo2bobo3bo28bo3bo6bo3bo\$5bo3bo6bo3bo\$44bo10bo2bo10bo\$o10bo2bo10bo19bo4b3o8b3o4bo\$bo4b3o8b3o4bo20bob2obobo8bobob2obo\$bob2obobo8bobob2obo20bobobo14bobobo\$bobobo14bobobo21bobobo12bobobo\$2bobobo12bobobo25bo14bo\$5bo14bo28bobo3bo2bo3bobo\$5bobo3bo2bo3bobo31bo8bo\$8bo8bo30bo2b2o8b2o2bo\$4bo2b2o8b2o2bo25bo5bobo2bobo5bo\$3bo5bobo2bobo5bo30bo6bo\$9bo6bo36bo6bo\$9bo6bo30bo2bobob2o2b2obobo2bo\$3bo2bobob2o2b2obobo2bo22b2o3bo2bo6bo2bo3b2o\$b2o3bo2bo6bo2bo3b2o19bobo3bo2bo6bo2bo3bobo\$obo3bo2bo6bo2bo3bobo20bo20bo\$2bo20bo23bo18bo\$3bo18bo22bo22bo\$bo22bo25bo12bo\$6bo12bo31bo10bo\$7bo10bo29bo16bo\$4bo16bo23bob2o3bob2o2b2obo3b2obo\$bob2o3bob2o2b2obo3b2obo22b3o3bo6bo3b3o\$3b3o3bo6bo3b3o26bob2obo4bob2obo\$5bob2obo4bob2obo30bo10bo\$7bo10bo29bo5bo4bo5bo\$4bo5bo4bo5bo26bo6bo2bo6bo\$4bo6bo2bo6bo26bo6bo2bo6bo\$4bo6bo2bo6bo23bo22bo\$bo22bo19bo6bo10bo6bo\$o6bo10bo6bo\$47bo8b2o8bo\$3bo8b2o8bo28bo10bo\$7bo10bo27bo9b2o9bo\$2bo9b2o9bo26bo12bo\$6bo12bo25bo7b3o2b3o7bo\$bo7b3o2b3o7bo26b2o8b2o\$7b2o8b2o28b3obo3bo2bo3bob3o\$3b3obo3bo2bo3bob3o27bo12bo\$6bo12bo32b2o6b2o\$8b2o6b2o31bobo10bobo\$5bobo10bobo24bo2b2o14b2o2bo\$bo2b2o14b2o2bo3\$45bo2bo16bo2bo\$bo2bo16bo2bo21bo3bo2bo6bo2bo3bo\$2bo3bo2bo6bo2bo3bo23b3o4bo4bo4b3o\$3b3o4bo4bo4b3o\$48bo16bo\$4bo16bo27bo14bo\$5bo14bo\$50bo12bo\$6bo12bo3\$48b2o14b2o\$4b2o14b2o31bo6bo\$9bo6bo36bo6bo\$9bo6bo37bo4bo\$10bo4bo33b4o8b4o\$5b4o8b4o32bo6bo\$9bo6bo33b2o10b2o\$6b2o10b2o35bo2bo\$11bo2bo34bob2o8b2obo\$5bob2o8b2obo27bobo12bobo\$4bobo12bobo28b3o8b3o\$6b3o8b3o30bo3bo4bo3bo\$6bo3bo4bo3bo28bobo12bobo\$4bobo12bobo27b3o3bo2bo3b3o\$5b3o3bo2bo3b3o34bo2bo\$11bo2bo\$51bo10bo\$7bo10bo34bo6bo\$9bo6bo\$50bobo8bobo\$6bobo8bobo29bo4bo4bo4bo\$5bo4bo4bo4bo33bo4bo\$10bo4bo37b2o4b2o\$9b2o4b2o34bo10bo\$7bo10bo28bo3bo10bo3bo\$3bo3bo10bo3bo28bo2b6o2bo\$7bo2b6o2bo34b2o4b2o\$9b2o4b2o38bo2bo\$11bo2bo34bo14bo\$5bo14bo34bo2bo\$52bo2bo2bo2bo\$50b3o8b3o\$49bobob3o2b3obobo\$51bobo6bobo!`

`#Cc/4 diagonal spaceships.#CBy Artem Dergachevx = 83, y = 82, rule = B2/S43bo\$14bo32bo\$43bo\$8bo5bo24bobo2bo\$8bobo4bo29bobo3bo\$8b2o6bo26bobo4bob2o\$10b2o5bo19bo5bob2o3bo2bo\$12b4o27bo4b2o2b2o\$12bo24bo\$12bo25bo2bobo4bo3bo\$5bo33bo2bo7bo\$9bo2b2o27bo\$5bo4b2o29bo6bo\$6bo5bo28bo2b2o\$8bobo31bo\$43bo\$44bo2bo\$42b2o\$41bobo\$43bo15\$45bo\$8bo\$45bo\$8bo37bo3bo\$9bo3bo33bo\$10bo36bo\$10bo34bo6bo\$8bo6bo28bo3bo\$7bo3bo25bo11bo2b2o\$o11bo2b2o25bo3bo\$5bo3bo27bo3b2o4b3ob2obo\$o3b2o4b3ob2obo20bo7bo\$bo7bo30bo5bo2b4o2bo\$3bo5bo2b4o2bo22bo3b2o7bo6bo\$4bo3b2o7bo25b3o6b2ob2o\$6b3o6b2ob2o34bo6bo\$17bo30bo5bo7bo\$11bo5bo6bobo19bo3bob2o9bo2bo\$9bo3bob2o10bo22bo2b2o2bo6bobo\$13bo2b2o34bo4bobob2obobobo\$15bo2b2o8bo27bobo8bo\$19bo5bo32bo9b2o\$18bobo5bobo30bo3bo\$20bo5bo28bobo9b4obo\$21b3obobo22bo7bo6bo3b2o\$21bo3bo34b3o6bo3bo\$15bobo3bo28bo4bo13b2o\$18bo2bo29bo3b2obob2o7bo3b2o\$19bo33bo2b3o8b3o2bo\$20bo35bob2o9bo\$56bo2bo2bo5bo\$57bobo2bo5bo3bo4bo\$68b2o2bo6bo\$70b2o3b2o3bo\$63bobobo4b4o\$60b2o5bo4bo4bo3bo\$65bobo4bo3b3o\$60bo2bobo13b2o\$70bo2bo\$74bo4bo\$68b2o6bobo2bo\$74bo2bobo2bo\$71bo5bo\$71bo6b2o2bo2\$76bo\$72bo\$80bo!`

Edit: If you are interested in this rule you should have a look at previous research. See the article on the Lifewiki: http://conwaylife.com/wiki/Seeds and the references provided in this post.
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1238
Joined: August 9th, 2013, 12:45 am

Re: Seeds

Beginning search for c/3 orthogonal or a period multiple.

Unfortunately it seems to be a dud so far:
`ntzfind 3.0 by "zdr", Matthias Merzenich, Aidan Pierce, and Tomas Rokicki, 24 February 2018- ./ntzfind B2/S p3 k1 w14 vRule: B2/SPeriod: 3Offset: 1Width:  14Symmetry: evenDepth limit: 2000Stop search if a ship is found.Starting search............o..o.......................o....o.......................o..o............Length: 7Search complete: 0 spaceships found.Calculations: 111688CPU time: 186.786479 seconds`

`x = 34, y = 3, rule = B2/Sbo2bo24bo2bo\$o4bo22bo4bo\$bo2bo24bo2bo!`

This may explain why c/3o has not been found yet.
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Seeds

LaundryPizza03 wrote:Beginning search for c/3 orthogonal or a period multiple.

Unfortunately it seems to be a dud so far:

<snip results>

This may explain why c/3o has not been found yet.

Well I don't expect it will be an easy search. The B2/S0 example was found with gfind and I'm fairly sure there was no p3 c/3 ship out to the limit of gfind (search width 28, full width 55u or 56v)

This is the longest p6 partial from ntzfind sear "p6 k2 w11 u"
`x = 21, y = 20, rule = B2/S8bo3bo\$7bo5bo3\$9bobo\$5bo9bo\$4bobo7bobo\$3bobo3bobo3bobo\$5bo9bo\$6bo7bo\$7bo5bo2\$2bo5bo3bo5bo\$bo4b3o3b3o4bo\$8b2ob2o\$3o2bobo5bobo2b3o\$5bo3bobo3bo\$2b2o13b2o\$2bo15bo\$2bo2bo3b3o3bo2bo!`

Depending on how much RAM is required for the width 12 search, it may be necessary to switch over to gfind.
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1238
Joined: August 9th, 2013, 12:45 am

Re: Seeds

wildmyron wrote:
LaundryPizza03 wrote:Beginning search for c/3 orthogonal or a period multiple.

Unfortunately it seems to be a dud so far:

<snip results>

This may explain why c/3o has not been found yet.

Well I don't expect it will be an easy search. The B2/S0 example was found with gfind and I'm fairly sure there was no p3 c/3 ship out to the limit of gfind (search width 28, full width 55u or 56v)

This is the longest p6 partial from ntzfind sear "p6 k2 w11 u"
`x = 21, y = 20, rule = B2/S8bo3bo\$7bo5bo3\$9bobo\$5bo9bo\$4bobo7bobo\$3bobo3bobo3bobo\$5bo9bo\$6bo7bo\$7bo5bo2\$2bo5bo3bo5bo\$bo4b3o3b3o4bo\$8b2ob2o\$3o2bobo5bobo2b3o\$5bo3bobo3bo\$2b2o13b2o\$2bo15bo\$2bo2bo3b3o3bo2bo!`

Depending on how much RAM is required for the width 12 search, it may be necessary to switch over to gfind.

I reached the same conclusions and the same partial. Based on the nature of the partial, I strongly suspect that reduced-period c/3o is impossible. I know that width 14 will definitely require gfind or partial extension. I am out of the house, so I cannot tell you how my width-12 search is progressing.

EDIT: It found 3 distinct partials, ordered here from shortest to longest. Because it depleted my RAM, any further searches will require gfind.
`x = 73, y = 22, rule = B2/S2bo3bo5bo3bo15bo3bo22bo3bo\$bo5bo3bo5bo13bo5bo20bo5bo3\$3bobo7bobo11bo5bobo5bo18bobo\$27bo13bo14bo9bo\$3b2o9b2o14bo7bo16bobo7bobo\$5b3o3b3o12bo3bo2bobo2bo3bo11bobo3bobo3bobo\$3bo11bo7bo3bo13bo3bo10bo9bo\$3b3o7b3o11bo2bo7bo2bo15bo7bo\$bo6b3o6bo7b4o11b4o14bo5bo\$o3bo9bo3bo10bo9bo\$24b2o17b2o9bo4bo3bo4bo\$24bo2bo2bobo3bobo2bo2bo8bob2o2bo3bo2b2obo\$23bo2bo15bo2bo6bob3o9b3obo\$25bo6bo3bo6bo9b3o11b3o\$24bo3bo2b2obob2o2bo3bo6b3o6bobo6b3o\$27bo3bo2bo2bo3bo9bo5bo2bobo2bo5bo\$50bobo7bobo7bobo\$51bo5bo3bo3bo5bo\$54bo13bo\$53bo15bo!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Seeds

Here are some c/4o partials of width 11 on various symmetries:
`x = 61, y = 17, rule = B2/S5bo9bo18bo2bo18bo\$3bo4bo3bo4bo14b2o4b2o13bo4bo\$2bo15bo32bo7bo\$34bo2bo12bo\$7b3ob3o16bo3b4o3bo\$30bo3bo2bo3bo14bo\$bo3b2o7b2o3bo9bo12bo7bo5b2o2bo\$3bo13bo34bo6bo\$2o2bo2bob3obo2bo2b2o9bo10bo2\$28bo14bo\$33bo4bo\$25bob2o2b2o2b2o2b2o2b2obo\$28b2o5b2o5b2o\$26b2o5bo4bo5b2o\$28bo6b2o6bo\$31b4o2b4o!`

The even-symmetric one looks best.

Best partial found for 2c/5o:
`x = 20, y = 9, rule = B2/S8bo2bo\$6bo6bo\$3bo12bo\$bo2bo10bo2bo\$2b2o3b2o2b2o3b2o\$o2bo3bob2obo3bo2bo\$7b6o\$8bo2bo\$2b2ob2o6b2ob2o!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Seeds

Possible (2,1)c/5 partials:
`x = 25, y = 10, rule = B2/S5bo12bo\$7bo12bo\$23bo\$8bo\$3b2o11b2o4bo\$o4bo2bo13bo\$20bo\$5bo16b2o\$16bo\$14bob3ob2o2bo!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Seeds

Methuselahs in Seeds (Non-record breakers are not shown):

1-cell bounding box: 1G
`x = 1, y = 1, rule = B2/So!`

2-cell bounding box: 5G
`x = 1, y = 2, rule = B2/So\$o!`

3-cell bounding box: 6G
`x = 1, y = 3, rule = B2/So2\$o!`

9-cell bounding box: 14G
`x = 1, y = 9, rule = B2/So2\$o\$o\$o2\$o\$o\$o!`

10 and 11-cell bounding boxes fail to produce any more record-breakers.

The smallest infinite growth pattern in Seeds is this, with a 4-cell bounding box:
`x = 2, y = 2, rule = B2/Sbo\$2o!`

Compare this with Life’s smallest infinite growth pattern, with a 24-cell bounding box:
`x = 12, y = 2, rule = B3/S23ob4ob2o2bo\$o2b2ob6o!`
Last edited by CoolCreeper39 on August 10th, 2019, 2:23 am, edited 1 time in total.
CoolCreeper39

Posts: 58
Joined: June 19th, 2019, 12:18 pm

Re: Seeds

CoolCreeper39 wrote:Methuselahs in Seeds:

1-cell bounding box: 1G
...

We tend to measure methuselahs by minimum covering polyplet size, or MCPS, not by bounding box. In which case, we have L = 9 for MCPS = 3:
`x = 3, y = 2, rule = B2/Sbo\$obo!`

EDIT: Pattern recovers itself flipped 90 degrees when hit by a photon:
`x = 15, y = 31, rule = B2/S13bo\$12bo2\$o11bo\$o13bo26\$10b2o!`

EDIT: I suppose these are in some pattern collection somewhere:
`x = 5, y = 6, rule = B2/Sbo\$o\$o3bo\$2bo\$3bo\$4bo!`

`x = 13, y = 5, rule = B2/S4bo3bo\$4b2ob2o\$3bo5bo\$o11bo\$b2o7b2o!`

EDIT: Longest methuselah I've found that doesn't involve spaceships (MCPS=28, L=17):
`x = 12, y = 12, rule = B2/S7b3o\$9bo\$7bob3o\$11bo\$9bobo3\$obo\$o\$3obo\$2bo\$2b3o!`
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1297
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Seeds

I see that there has been no investigation into the speeds between c/2 and c orthogonal, though this is difficult with the usual spaceship search programs. But here is a possible 3c/5o partial matching 7 rows:
`x = 23, y = 9, rule = B2/S9bo3bo2\$9bo3bo\$7bo7bo\$4bo3bo5bo3bo\$3bo15bo\$bo2bo13bo2bo\$o2bo2bob2o3b2obo2bo2bo\$3bo2b2o7b2o2bo!`
`x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o\$b2o\$2o!`

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Previous