## 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

Posts: 3300
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### 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

Posts: 675
Joined: May 30th, 2016, 8:47 pm
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

Posts: 675
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 2084 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: 3300
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

Posts: 983
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: 333
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.
wildmyron

Posts: 1070
Joined: August 9th, 2013, 12:45 am

### 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

Posts: 3300
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

Posts: 28
Joined: October 6th, 2017, 1:50 am