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Seeds

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Re: Seeds

Postby CoolCreeper39 » July 31st, 2019, 12:14 am

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

x = 6, y = 5, rule = B2/S
2bo$o2bo$bo3bo$5bo$4bo!


p84 agar:

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

Postby CoolCreeper39 » July 31st, 2019, 10:22 pm

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

x = 100, y = 100, rule = B2/S
12bo$9bo2bo$5bo3bo3b2o$3bobo2b2o$bo$o4bo2b2o2bo$9bo2bo2bo$10bo6bo$o2b
2obo$6bo6bo4bo$13b2o$5b2o7bo$4bobo2bo2b2o2b2o$7bobobo2bo$6bo9bo2b4ob2o
$9bo10bobo2$7bo10bo2bobo$21bo3bo$26b2o$19bo4b2o$18bo4bo2b2o$22b2ob3obo
$17bo4bo$20bo8bo$17bo5bo3bo$16b3o3bo5bo$19bo6b2o$16bo3b2o4bob2ob2o$30b
obobo$28bobobo3bo$20bobo5bo3bo7bo$22b4o14bo$36b2o$22bo5b2o9b2o$26bo7b
2o2bobo$25bo4bo9bo$30bobo7bobo$34bobo2bo$31b2o3bo5bo3bo$29bo3b3o12bo$
33bo6bo3bo3bo$32bo6bo3bob2o2bo$31bo4bo5bo2b3o$49bo3bo$35bo4bo8bo3bo$
34bo15bo3b2o$40bo4bo4bo$41bo5bobo$43bo8b2o$51bo2b2obo$58b2o$51bo4bo$
56b2o2bo$52bo3b2o$58bo$50bo6bo$56bo3bobo$51bo$52bobo3bo3b4ob2o$57bo3bo
3bo$64bo$66bo$56bo3b2o4bo2bo$54bo4bo4bo$53bo5bobo2bo5bo$58b2o$57bo2bob
o5b4o$56bo3bo10bo$62b2o5b2o$59bo5bo5bo3bobo$65bo2b2obobo$72bobo2b2obo$
64bo6b2o4b2obo$63bo3bo9bobobo3bo$67bo11bo5bo$67bo6bo2b2o3bo$65bob2o4bo
2b2o6b2o$71bo9b2o2bo$68bo2bo3bo8b2o$72bo6bo5bo$73bo4bo3bo7bo$73b2obo
10bo4bo$71bobo11bobo$93bo$86bob2o7bo$87bob2o6bo$87bo5b2o3b2o$86bo$92bo
$84bob2o5b2ob3o$94bobo$82bo3bo$85bob2ob2o$88bo5bob2o$87bo3bo$91bo4bo2$
95bo$91bo2bo!
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Re: Seeds

Postby CoolCreeper39 » August 2nd, 2019, 2:20 am

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/S
35bo87bo$13bobo17bobobo21bo21bo19bobo17bobobo21bo21bo$11bo4bo14bobob2o
bo21bo19bobo16bo4bo14bobob2obo21bo19bobo$6bo3bo6bo10bo3b5o2bo8bo3bo8bo
8bo3bo3b3o2bo10bo3bo6bo10bo3b5o2bo8bo3bo8bo8bo3bo3b3o2bo$7bo5b2o2bo9bo
11bo9bo3bo3b2o2bo11bo3bo5bo11bo5b2o2bo9bo11bo9bo3bo3b2o2bo11bo3bo5bo$
14bobo21bo8b2o8b2obo21bo19bobo21bo8b2o8b2obo21bo$15bo10bo8bobo10bo8bob
o21bo21bo10bo8bobo10bo8bobo21bo$4bobo21bo17b2o2bo6bo14bo4bo14bobo21bo
17b2o2bo6bo14bo4bo$6bo15bo2bo2bo18bo2bo15bo5bo21bo15bo2bo2bo18bo2bo15b
o5bo$obobo21bo19bobo21bo17bobobo21bo19bobo21bo$2bo65bo21bo65bo2$178bo$
177bo!



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

x = 18, y = 26, rule = B2/S
2bo3bo$3bo3bo4bo$b2o8bobo$2bo9bobo$2o2bo8bobo$bo2bo12bo$obo14bo$14bobo
$13bobo$12bobo$11bobo$12bo3$12bo$11bobo$12bobo$13bobo$17bo$obo14bo$bo
2bo9bobo$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!
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Re: Seeds

Postby CoolCreeper39 » August 2nd, 2019, 2:24 am

A collection of spaceships:

x = 132, y = 331, rule = B2/S
44bo$41bo2bo$37bo3bo3b2o$35bobo2b2o$33bo$32bo4bo2b2o2bo$41bo2bo2bo$42b
o6bo$32bo2b2obo$38bo6bo4bo$45b2o$37b2o7bo$36bobo2bo2b2o2b2o$39bobobo2b
o$38bo9bo2b4ob2o$41bo10bobo2$39bo10bo2bobo$53bo3bo$58b2o$51bo4b2o$50bo
4bo2b2o$54b2ob3obo$49bo4bo$52bo8bo$49bo5bo3bo$48b3o3bo5bo$51bo6b2o$48b
o3b2o4bob2ob2o$62bobobo$60bobobo3bo$52bobo5bo3bo7bo$54b4o14bo$68b2o$
54bo5b2o9b2o$58bo7b2o2bobo$57bo4bo9bo$62bobo7bobo$66bobo2bo$63b2o3bo5b
o3bo$61bo3b3o12bo$65bo6bo3bo3bo$64bo6bo3bob2o2bo$63bo4bo5bo2b3o$81bo3b
o$67bo4bo8bo3bo$66bo15bo3b2o$72bo4bo4bo$73bo5bobo$75bo8b2o$83bo2b2obo$
90b2o$83bo4bo$88b2o2bo$84bo3b2o$90bo$82bo6bo$88bo3bobo$83bo$84bobo3bo
3b4ob2o$89bo3bo3bo$96bo$98bo$88bo3b2o4bo2bo$86bo4bo4bo$85bo5bobo2bo5bo
$90b2o$89bo2bobo5b4o$88bo3bo10bo$94b2o5b2o$91bo5bo5bo3bobo$97bo2b2obob
o$104bobo2b2obo$96bo6b2o4b2obo$95bo3bo9bobobo3bo$99bo11bo5bo$99bo6bo2b
2o3bo$97bob2o4bo2b2o6b2o$103bo9b2o2bo$100bo2bo3bo8b2o$104bo6bo5bo$105b
o4bo3bo7bo$105b2obo10bo4bo$103bobo11bobo$125bo$118bob2o7bo$119bob2o6bo
$119bo5b2o3b2o$118bo$124bo$116bob2o5b2ob3o$126bobo$114bo3bo$117bob2ob
2o$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$10bo9bo
11bo$8bo8bo6b2o$o7bo6bo5b2o$10bo7b2o3b3o$o17bo2bo$21bo9bobo$18bo2b3o
10bo$15bo2bob2o13bo$30bobo2bo$32bobo$15bo2bob2o11bo$18bo2b3o$21bo$o17b
o2bo$10bo7b2o3b3o$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$33b
o2$41bobo$30bobo7bo3bo$31bo2bo10bo$30b2o2bo5bobo2bo$32bo9bobo$31b2o8bo
bo$33bo3bo4bo$32bo3bo2$48bo$49bo$31bobo11bo3bo$32bo2bo8bo2bo$31b2o2bo
8bobo$33bo9bobo$32b2o8bobo$34bo3bo4bo$33bo3bo3$44bo$45bo$33bo3bo8bo$
34bo3bo3b2o2bo$32b2o8b2obo$33bo8bobo$31b2o2bo6bo$32bo2bo$31bobo4$33bo
3bo$34bo3bo4bo$32b2o8bobo$33bo9bobo$31b2o2bo5bobo2bo$32bo2bo10bo$31bob
o7bo3bo$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$33b
2o$34bo$32b2o2bo$33bo2bo$32bobo4$33bo3bo$34bo3bo4bo$32b2o8bobo$33bo9bo
bo$31b2o2bo8bobo$32bo2bo12bo$31bobo14bo$45bobo$44bobo$43bobo$42bobo$
43bo3$43bo$42bobo$43bobo$44bobo$48bo$31bobo14bo$32bo2bo9bobo$31b2o2bo
8bobo$33bo9bobo$32b2o8bobo$34bo3bo4bo$33bo3bo3$33bo3bo$34bo3bo4bo$32b
2o8bobo$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$32bo2bo
9bobo$31b2o2bo8bobo$33bo9bobo$32b2o8bobo$34bo3bo4bo$33bo3bo!


Please tell me if I’m missing any!
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Re: Seeds

Postby wildmyron » August 5th, 2019, 4:08 am

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 Dergachev
x = 70, y = 96, rule = B2/S
51bo10bo$7bo10bo27bo2b2o2bo6bo2b2o2bo$2bo2b2o2bo6bo2b2o2bo21bo3bo4bo4b
o4bo3bo$bo3bo4bo4bo4bo3bo24bo3bobo2bobo3bo$5bo3bobo2bobo3bo28bo3bo6bo
3bo$5bo3bo6bo3bo$44bo10bo2bo10bo$o10bo2bo10bo19bo4b3o8b3o4bo$bo4b3o8b
3o4bo20bob2obobo8bobob2obo$bob2obobo8bobob2obo20bobobo14bobobo$bobobo
14bobobo21bobobo12bobobo$2bobobo12bobobo25bo14bo$5bo14bo28bobo3bo2bo3b
obo$5bobo3bo2bo3bobo31bo8bo$8bo8bo30bo2b2o8b2o2bo$4bo2b2o8b2o2bo25bo5b
obo2bobo5bo$3bo5bobo2bobo5bo30bo6bo$9bo6bo36bo6bo$9bo6bo30bo2bobob2o2b
2obobo2bo$3bo2bobob2o2b2obobo2bo22b2o3bo2bo6bo2bo3b2o$b2o3bo2bo6bo2bo
3b2o19bobo3bo2bo6bo2bo3bobo$obo3bo2bo6bo2bo3bobo20bo20bo$2bo20bo23bo
18bo$3bo18bo22bo22bo$bo22bo25bo12bo$6bo12bo31bo10bo$7bo10bo29bo16bo$4b
o16bo23bob2o3bob2o2b2obo3b2obo$bob2o3bob2o2b2obo3b2obo22b3o3bo6bo3b3o$
3b3o3bo6bo3b3o26bob2obo4bob2obo$5bob2obo4bob2obo30bo10bo$7bo10bo29bo5b
o4bo5bo$4bo5bo4bo5bo26bo6bo2bo6bo$4bo6bo2bo6bo26bo6bo2bo6bo$4bo6bo2bo
6bo23bo22bo$bo22bo19bo6bo10bo6bo$o6bo10bo6bo$47bo8b2o8bo$3bo8b2o8bo28b
o10bo$7bo10bo27bo9b2o9bo$2bo9b2o9bo26bo12bo$6bo12bo25bo7b3o2b3o7bo$bo
7b3o2b3o7bo26b2o8b2o$7b2o8b2o28b3obo3bo2bo3bob3o$3b3obo3bo2bo3bob3o27b
o12bo$6bo12bo32b2o6b2o$8b2o6b2o31bobo10bobo$5bobo10bobo24bo2b2o14b2o2b
o$bo2b2o14b2o2bo3$45bo2bo16bo2bo$bo2bo16bo2bo21bo3bo2bo6bo2bo3bo$2bo3b
o2bo6bo2bo3bo23b3o4bo4bo4b3o$3b3o4bo4bo4b3o$48bo16bo$4bo16bo27bo14bo$
5bo14bo$50bo12bo$6bo12bo3$48b2o14b2o$4b2o14b2o31bo6bo$9bo6bo36bo6bo$9b
o6bo37bo4bo$10bo4bo33b4o8b4o$5b4o8b4o32bo6bo$9bo6bo33b2o10b2o$6b2o10b
2o35bo2bo$11bo2bo34bob2o8b2obo$5bob2o8b2obo27bobo12bobo$4bobo12bobo28b
3o8b3o$6b3o8b3o30bo3bo4bo3bo$6bo3bo4bo3bo28bobo12bobo$4bobo12bobo27b3o
3bo2bo3b3o$5b3o3bo2bo3b3o34bo2bo$11bo2bo$51bo10bo$7bo10bo34bo6bo$9bo6b
o$50bobo8bobo$6bobo8bobo29bo4bo4bo4bo$5bo4bo4bo4bo33bo4bo$10bo4bo37b2o
4b2o$9b2o4b2o34bo10bo$7bo10bo28bo3bo10bo3bo$3bo3bo10bo3bo28bo2b6o2bo$
7bo2b6o2bo34b2o4b2o$9b2o4b2o38bo2bo$11bo2bo34bo14bo$5bo14bo34bo2bo$52b
o2bo2bo2bo$50b3o8b3o$49bobob3o2b3obobo$51bobo6bobo!

#Cc/4 diagonal spaceships.
#CBy Artem Dergachev
x = 83, y = 82, rule = B2/S
43bo$14bo32bo$43bo$8bo5bo24bobo2bo$8bobo4bo29bobo3bo$8b2o6bo26bobo4bob
2o$10b2o5bo19bo5bob2o3bo2bo$12b4o27bo4b2o2b2o$12bo24bo$12bo25bo2bobo4b
o3bo$5bo33bo2bo7bo$9bo2b2o27bo$5bo4b2o29bo6bo$6bo5bo28bo2b2o$8bobo31bo
$43bo$44bo2bo$42b2o$41bobo$43bo15$45bo$8bo$45bo$8bo37bo3bo$9bo3bo33bo$
10bo36bo$10bo34bo6bo$8bo6bo28bo3bo$7bo3bo25bo11bo2b2o$o11bo2b2o25bo3bo
$5bo3bo27bo3b2o4b3ob2obo$o3b2o4b3ob2obo20bo7bo$bo7bo30bo5bo2b4o2bo$3bo
5bo2b4o2bo22bo3b2o7bo6bo$4bo3b2o7bo25b3o6b2ob2o$6b3o6b2ob2o34bo6bo$17b
o30bo5bo7bo$11bo5bo6bobo19bo3bob2o9bo2bo$9bo3bob2o10bo22bo2b2o2bo6bobo
$13bo2b2o34bo4bobob2obobobo$15bo2b2o8bo27bobo8bo$19bo5bo32bo9b2o$18bob
o5bobo30bo3bo$20bo5bo28bobo9b4obo$21b3obobo22bo7bo6bo3b2o$21bo3bo34b3o
6bo3bo$15bobo3bo28bo4bo13b2o$18bo2bo29bo3b2obob2o7bo3b2o$19bo33bo2b3o
8b3o2bo$20bo35bob2o9bo$56bo2bo2bo5bo$57bobo2bo5bo3bo4bo$68b2o2bo6bo$
70b2o3b2o3bo$63bobobo4b4o$60b2o5bo4bo4bo3bo$65bobo4bo3b3o$60bo2bobo13b
2o$70bo2bo$74bo4bo$68b2o6bobo2bo$74bo2bobo2bo$71bo5bo$71bo6b2o2bo2$76b
o$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.
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Re: Seeds

Postby LaundryPizza03 » August 5th, 2019, 7:53 am

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 v
Rule: B2/S
Period: 3
Offset: 1
Width:  14
Symmetry: even
Depth limit: 2000
Stop search if a ship is found.
Starting search
............o..o............
...........o....o...........
............o..o............
Length: 7
Search complete: 0 spaceships found.
Calculations: 111688
CPU time: 186.786479 seconds

x = 34, y = 3, rule = B2/S
bo2bo24bo2bo$o4bo22bo4bo$bo2bo24bo2bo!

This may explain why c/3o has not been found yet.
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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Re: Seeds

Postby wildmyron » August 5th, 2019, 11:55 am

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/S
8bo3bo$7bo5bo3$9bobo$5bo9bo$4bobo7bobo$3bobo3bobo3bobo$5bo9bo$6bo7bo$
7bo5bo2$2bo5bo3bo5bo$bo4b3o3b3o4bo$8b2ob2o$3o2bobo5bobo2b3o$5bo3bobo3b
o$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.
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Re: Seeds

Postby LaundryPizza03 » August 5th, 2019, 1:02 pm

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/S
8bo3bo$7bo5bo3$9bobo$5bo9bo$4bobo7bobo$3bobo3bobo3bobo$5bo9bo$6bo7bo$
7bo5bo2$2bo5bo3bo5bo$bo4b3o3b3o4bo$8b2ob2o$3o2bobo5bobo2b3o$5bo3bobo3b
o$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/S
2bo3bo5bo3bo15bo3bo22bo3bo$bo5bo3bo5bo13bo5bo20bo5bo3$3bobo7bobo11bo5b
obo5bo18bobo$27bo13bo14bo9bo$3b2o9b2o14bo7bo16bobo7bobo$5b3o3b3o12bo3b
o2bobo2bo3bo11bobo3bobo3bobo$3bo11bo7bo3bo13bo3bo10bo9bo$3b3o7b3o11bo
2bo7bo2bo15bo7bo$bo6b3o6bo7b4o11b4o14bo5bo$o3bo9bo3bo10bo9bo$24b2o17b
2o9bo4bo3bo4bo$24bo2bo2bobo3bobo2bo2bo8bob2o2bo3bo2b2obo$23bo2bo15bo2b
o6bob3o9b3obo$25bo6bo3bo6bo9b3o11b3o$24bo3bo2b2obob2o2bo3bo6b3o6bobo6b
3o$27bo3bo2bo2bo3bo9bo5bo2bobo2bo5bo$50bobo7bobo7bobo$51bo5bo3bo3bo5bo
$54bo13bo$53bo15bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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Re: Seeds

Postby LaundryPizza03 » August 5th, 2019, 5:58 pm

Here are some c/4o partials of width 11 on various symmetries:
x = 61, y = 17, rule = B2/S
5bo9bo18bo2bo18bo$3bo4bo3bo4bo14b2o4b2o13bo4bo$2bo15bo32bo7bo$34bo2bo
12bo$7b3ob3o16bo3b4o3bo$30bo3bo2bo3bo14bo$bo3b2o7b2o3bo9bo12bo7bo5b2o
2bo$3bo13bo34bo6bo$2o2bo2bob3obo2bo2b2o9bo10bo2$28bo14bo$33bo4bo$25bob
2o2b2o2b2o2b2o2b2obo$28b2o5b2o5b2o$26b2o5bo4bo5b2o$28bo6b2o6bo$31b4o2b
4o!

The even-symmetric one looks best.

Best partial found for 2c/5o:
x = 20, y = 9, rule = B2/S
8bo2bo$6bo6bo$3bo12bo$bo2bo10bo2bo$2b2o3b2o2b2o3b2o$o2bo3bob2obo3bo2bo
$7b6o$8bo2bo$2b2ob2o6b2ob2o!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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Re: Seeds

Postby LaundryPizza03 » August 8th, 2019, 8:25 pm

Possible (2,1)c/5 partials:
x = 25, y = 10, rule = B2/S
5bo12bo$7bo12bo$23bo$8bo$3b2o11b2o4bo$o4bo2bo13bo$20bo$5bo16b2o$16bo$
14bob3ob2o2bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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Re: Seeds

Postby CoolCreeper39 » August 8th, 2019, 10:10 pm

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

1-cell bounding box: 1G
x = 1, y = 1, rule = B2/S
o!


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


3-cell bounding box: 6G
x = 1, y = 3, rule = B2/S
o2$o!


9-cell bounding box: 14G
x = 1, y = 9, rule = B2/S
o2$o$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/S
bo$2o!


Compare this with Life’s smallest infinite growth pattern, with a 24-cell bounding box:
x = 12, y = 2, rule = B3/S23
ob4ob2o2bo$o2b2ob6o!
Last edited by CoolCreeper39 on August 10th, 2019, 2:23 am, edited 1 time in total.
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Re: Seeds

Postby Hdjensofjfnen » August 8th, 2019, 11:46 pm

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/S
bo$obo!


EDIT: Pattern recovers itself flipped 90 degrees when hit by a photon:
x = 15, y = 31, rule = B2/S
13bo$12bo2$o11bo$o13bo26$10b2o!


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

x = 13, y = 5, rule = B2/S
4bo3bo$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/S
7b3o$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-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Seeds

Postby LaundryPizza03 » August 22nd, 2019, 6:04 am

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/S
9bo3bo2$9bo3bo$7bo7bo$4bo3bo5bo3bo$3bo15bo$bo2bo13bo2bo$o2bo2bob2o3b2o
bo2bo2bo$3bo2b2o7b2o2bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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