## Outer-totalistic hexagonal rules with spaceships

For discussion of other cellular automata.

### Outer-totalistic hexagonal rules with spaceships

Since there aren't too many of these around to my knowledge I thought I'd document them.

b2s3h: c/5o and c/14o (non-explosive!)
`x = 7, y = 22, rule = B2/S3H3b3o\$bo3bo\$3b2o2\$b2obo\$o\$2bo9\$obo\$4bo\$bo2bo\$bobo\$2bo2bo\$6bo\$3bobo!`

b26s2h: 2c/36 orthogonal
`x = 5, y = 4, rule = B26/S2Hobo\$bobo\$bobo\$2b3o!`

b2s2h: c/3 diagonal
`x = 5, y = 5, rule = B2/S2Ho2b2o\$3b2o\$2bo2\$4bo!`

b245s3h: 2c/10 orthogonal
`x = 7, y = 6, rule = B245/S3Hobo\$4bo\$2bo\$bo2bobo\$3bo\$5bo!`

b245s35h: c/25 diagonal
`x = 4, y = 4, rule = B245/S35Hb3o\$bobo\$4o\$bo!`

b2s26h: 6c/18 diagonal
`x = 16, y = 16, rule = B2/S26H14b2o\$12bob2o\$8b3o2bo\$9bo2bobo\$9bo\$13bo\$2bo8b3o\$13bo\$2obo2bo\$2obo3bo2\$2b2o\$3b2ob2o\$4bo4bo\$6b2o\$6b2o!`
Last edited by muzik on January 9th, 2019, 9:39 am, edited 1 time in total.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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### Re: Outer-totalistic hexagonal rules with spaceships

muzik wrote:b245s3h: 2c/10 orthogonal
`x = 7, y = 6, rule = B245/S3Hobo\$4bo\$2bo\$bo2bobo\$3bo\$5bo!`

Did you mean 2c/10 diagonal?
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

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Location: Milky Way Galaxy: Planet Earth

### Re: Outer-totalistic hexagonal rules with spaceships

No, 2c/10 orthogonal is correct. This is a hexagonal grid, remember?

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Outer-totalistic hexagonal rules with spaceships

77topaz wrote:No, 2c/10 orthogonal is correct. This is a hexagonal grid, remember?

What makes a ship diagonal in a hexagonal rule, then?
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

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Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Outer-totalistic hexagonal rules with spaceships

Screen Shot 2019-01-10 at 12.37.46 PM.png (25.49 KiB) Viewed 3556 times

The line on the left is orthogonal, the one on the right is diagonal.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Outer-totalistic hexagonal rules with spaceships

Infinitely extensible nontrivial reaction:

`x = 20, y = 24, rule = B26/S2H2bobo\$bo2bo\$3b3o\$2bobo3\$bobo\$obo2\$bo\$6bo\$4bo\$8bo\$11bo\$7bo2\$8bobo\$10bobo3\$14bobo\$16b3o\$15bo2bo\$17bobo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3301
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Outer-totalistic hexagonal rules with spaceships

Is there any script to convert hexagonal rules into gfind ruletables?
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

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Joined: July 1st, 2016, 3:58 pm

### Re: Outer-totalistic hexagonal rules with spaceships

AforAmpere wrote:Is there any script to convert hexagonal rules into gfind ruletables?

Please show me a gfind repo/source archive!

Posts: 349
Joined: May 7th, 2016, 8:53 am

### Re: Outer-totalistic hexagonal rules with spaceships

AforAmpere wrote:Is there any script to convert hexagonal rules into gfind ruletables?

You can generate ruletab entries for gfind with EricG's script For-gfind-from-WeightedLife.py. This will only work for outer-totalistic hexagonal rules which can be easily expressed in WeightedLife notation. I expect it wouldn't be too hard to adapt the For-gfind-from-HenselNotation.py script to isotropic hexagonal rules, but I'm not aware of anyone having done so.
The latest version of the 5S Project contains over 57,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

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### Re: Outer-totalistic hexagonal rules with spaceships

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Outer-totalistic hexagonal rules with spaceships

These are all the rules with c/2 orthogonal spaceships with bounding boxes smaller than 14x14:

B24/S02H - B2456/S023456H:
`x = 4, y = 4, rule = B24/S02Hbo\$obo\$bo\$bobo!`

B24/S034H - B2456/S03456H:
`x = 5, y = 6, rule = B24/S034Hbo\$2bo\$2o\$b3o\$bo\$4bo!`

B256/S245H - B2456/S02456H:
`x = 7, y = 7, rule = B256/S245Ho\$b3o\$b2obo\$2b3o\$2b2obo\$3b3o\$3bo!`

B24/S134H - B2456/S1346H:
`x = 7, y = 8, rule = B24/S134H\$2b2o\$2b3o\$b2o\$ob2obo\$3b2o\$3b4o\$5bo!`

B24/S1345H - B2456/S13456H:
`x = 7, y = 8, rule = B24/S1345H2bo\$b3o\$ob2o\$5bo\$4b2o\$3b2o\$2bob2o\$6bo!`

B24/S035H - B2456/S03456H:
`x = 8, y = 8, rule = B24/S035Hbo\$2bo\$bo3bo\$3b2obo\$2ob3o\$2bo2bobo2\$5bo!`

B245/S0134H - B2456/S01346H:
`x = 8, y = 8, rule = B245/S0134Hbobo\$2bo\$5o\$bo3b2o\$bo2b2obo\$2b3o\$2b5o\$4bobo!`

B2456/S126H:
`x = 8, y = 9, rule = B2456/S126Hbo\$2b2o\$2bob2o\$b5o\$5o\$2b5o\$4bob2o\$5b2o\$5bo!`

B2/S02H - B256/S0256H:
`x = 8, y = 12, rule = B2/S02Ho2\$2bo\$2o2bo\$3b3o\$2b3o2\$6bo\$6b2o\$3b4o\$5bo\$5bo!`

B245/S256H - B2456/S256H:
`x = 8, y = 13, rule = B245/S256H4bo\$bo4bo\$2o3b3o\$2b3obo\$4bo\$5bo\$2b4o\$2bo2\$4bo\$bob2obo\$5b3o\$2bobobo!`

B25/S0246H:
`x = 9, y = 7, rule = B25/S0246Ho\$3bobo\$2b2o2bo\$2bo\$3b2o2bo\$5bobo\$3bo!`

B2/S23H - B256/S23H:
`x = 9, y = 8, rule = B2/S23H2bobo\$2bo2b2o\$6bo\$2b2o\$7bo\$2o2bo2b2o\$2bo2bobo\$o2bo!`

B246/S1356H:
`x = 9, y = 11, rule = B246/S1356H2bo\$ob2o\$2b2o\$2bobo\$ob5o\$b5o\$bob5o\$4bobo\$5b2o\$4bob2o\$7bo!`

B2/S23H - B26/S236H:
`x = 10, y = 10, rule = B2/S23Hobo\$2b4o\$2bob3o\$4b2o\$2b2ob2o\$6bo\$5bo\$8bo\$5bo2b2o\$6bobo!`

B245/S13H - B2456/S136H:
`x = 10, y = 10, rule = B245/S13H\$4b2obo\$5bobo\$2bob2o\$8bo\$6b2obo\$bob4o\$3obo\$2bob4o\$6bo!`

B25/S024H - B256/S02456H:
`x = 10, y = 11, rule = B25/S024Ho\$3b2o\$2o3bo\$2bob2o\$6bo\$6b2o\$7bo\$4bob2o\$3b2o3bo\$7b2o\$5bo!`

B2456/S125H - B2456/S1256H:
`x = 11, y = 9, rule = B2456/S125Hbo4bo\$2b2ob4o\$2bo2b2obo\$b4o\$3ob2ob2o\$2b3o2b2o\$4b4obo\$6bo2b2o\$9bo!`

B2/S23H - B246/S235H:
`x = 11, y = 10, rule = B2/S23H2bobo\$b2o2b2o\$o5bo\$bo\$o6bo\$2bo3bobo\$7b2o\$4bo2b3o\$3bob5o\$7bo!`

B256/S125H - B256/S1256H:
`x = 11, y = 11, rule = B256/S125H2bo\$3b3obo\$bobob2ob2o\$4b2o3bo\$5b4o\$ob3o2bo\$5b4o\$5b2ob2o\$3bobob2o\$6b2o\$6bo!`

B2/S23H - B246/S236H:
`x = 11, y = 12, rule = B2/S23Hobo\$2b4o\$2bob3o\$4bobo\$4bob2o2\$8bo\$7b2o\$6bo\$9bo\$6bo2b2o\$7bobo!`

B245/S24H - B2456/S246H:
`x = 11, y = 12, rule = B245/S24H\$b2obo\$3b2obo\$5ob2o\$2b4o\$5bob3o\$2bobob2obo\$4bo3bo\$4bo2b3o\$3bob2ob3o\$6b2obo\$6bo!`

B24/S014H - B246/S014H:
`x = 12, y = 11, rule = B24/S014H2bo\$ob2obo\$b3o2b2o\$b8o\$3o2b4o\$b2o3bo\$b3o2b4o\$3b8o\$4b3o2b2o\$4bob2obo\$7bo!`

B2/S023H - B26/S0236H:
`x = 12, y = 12, rule = B2/S023H3bo\$b6o\$5b3o\$obo2bobo\$3bobob2o2\$9bo\$3bobo2b2o\$2b2ob3o\$4bobo3bo\$6b2o2b2o\$6bobobo!`

B245/S25H - B2456/S256H:
`x = 12, y = 13, rule = B245/S25H8bo\$3bo6bo\$2b5o2b3o\$b3ob2obobo\$2o2bobo\$2bo2bo2b2o\$4bob5o\$2b3o3b2o\$4bo2b2o2\$7b2obo\$6bob4o\$10bo!`

B24/S03H - B2456/S0356H:
`x = 13, y = 8, rule = B24/S03H5bo\$6b2obo\$bo3bob2o\$2obobo3b2o\$4b4o\$3bobo2b4o\$8b2obo!`

B24/S24H - B246/S24H:
`x = 13, y = 11, rule = B24/S24Hbo\$2b3obo\$ob2o2b3o\$2bobob3o\$3bo3b2o\$bob2o5bo\$3b3o3b3o\$4b2obo\$bo5bo2b2o\$2b3o2bobobo\$2bo7bo!`

B2456/S24H - B2456/S246H:
`x = 13, y = 11, rule = B2456/S24H2bo2bo\$3b2o2bo\$2bo3b3o\$o3bob2o\$2b3ob3o\$b2obo3b2o\$3b3ob3o\$3bo2bob2o\$5bo3b3o\$7b2o2bo\$7bo2bo!`

B24/S25H - B246/S256H:
`x = 13, y = 12, rule = B24/S25H3bo\$2b4o\$ob2obo\$2bo\$2bob2o\$5bo\$6bo2bo\$bobobo2b4o\$4b5o2bo\$obo2b2obobo\$2bobobo\$5bo!`

B2456/S1356H:
`x = 13, y = 12, rule = B2456/S1356Hbobobo\$3bobo\$b2o2b3o\$2b4ob2o\$obob3o\$2b8obo\$2bob5ob2o\$3b4ob3o\$8b2o\$5b4ob2o\$7b4o\$8bobo!`

B246/S2456H:
`x = 13, y = 12, rule = B246/S2456Hbobo\$3ob2o\$6b3o\$bobobobobo\$3b2ob4o\$3b6obo\$4b5obo\$4b2ob3o\$5bo3b3o\$3bo2b3o2b2o\$6bob2obo\$6bo!`

B245/S2H - B2456/S256H
`x = 13, y = 13, rule = B245/S2H\$2obobo2bo\$3b2o2b4o\$2b2ob3o2bo\$4bo2bobo2\$4bo\$5bo\$5bo\$7bobo\$4bo2b2o2bo\$3b4o2b4o\$5bo2bo2bo!`

B2456/S135H:
`x = 13, y = 13, rule = B2456/S135Hobo\$2bo\$bo5bo\$4o3b2o\$bo2bob3o\$b3o5bo\$3o2bob2o\$2b3o5bo\$3bo2bob3o\$3b4o3b2o\$5bo5bo\$7bo\$6bobo!`

B2456/S2H - B2456/S26H:
`x = 13, y = 13, rule = B2456/S2H\$2obo\$3b3o2bo\$2b2o2b5o\$2bob2o2bobo\$7bobo\$7b2o\$5bo3bo\$6b2obo\$6b2obo\$7b3obo\$10b3o\$9bobo!`
AlephAlpha

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