## Slowest 2-state spaceships of each cell count

For discussion of other cellular automata.

### Slowest 2-state spaceships of each cell count

This will be a challenge to find the slowest 2-state ship of each cell count in any rule. Because it is 2-state, we can use MAP rules instead of ruletables, but that is optional. A direction is not needed, just a speed. For 1 cell, it's obviously this, c orthogonal or c diagonal:
`x = 1, y = 1, rule = MAPGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo!`

For 2 cells, here is BlinkerSpawn's, a c/11o ship:
`x = 3, y = 1, rule = MAPBTDe/yAA9/8AAP//AAD//yAA/78AAP//AID//wAA//8AAP//AAD/2wAA//8AgP//AAD//4AA//+AAH//AAD//wobo!`

3 cells (Rocknlol), c/313:
`x = 2, y = 3, rule = B2cen3jkq4eiqrz5-jn6eik7e8/S02n3anq4knqr5jy6ein7cbo\$o\$bo!`

4 cells (wildmyron), c/141:
`x = 3, y = 3, rule = B2cn3-ejqr4aeiknty5einqr6-ac7e/S02ac3anr4nqz5ir82bo\$obo\$2bo!`

Provide a ruleTable (Unless you have a MAP generated) and an RLE
Last edited by Saka on October 11th, 2017, 8:25 am, edited 3 times in total.
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`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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### Re: Slowest 2-state spaceships of each cell count

Wouldn't c orthogonal for one cell make more sense? If you think about it, c diagonal is sqrt(2) times as fact as c orthogonal...
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muzik

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### Re: Slowest 2-state spaceships of each cell count

muzik wrote:Wouldn't c orthogonal for one cell make more sense? If you think about it, c diagonal is sqrt(2) times as fact as c orthogonal...
Saka wrote:A direction is not needed, just a speed.

So basically it doesnt matter
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`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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### Re: Slowest 2-state spaceships of each cell count

Three-cell c/313, although this can almost certainly be improved on:
`x = 2, y = 3, rule = B2cen3jkq4eiqrz5-jn6eik7e8/S02n3anq4knqr5jy6ein7cbo\$o\$bo!`
Rocknlol

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### Re: Slowest 2-state spaceships of each cell count

@Saka: nice 2-cell spaceship

@Rocknlol: very nice 3-cell spaceship, current record holder for the slowest 3-cell spaceship challenge in the Find a rule with... thread.

Here is the slowest 4-cell spaceship I have found so far, which pales in comparison to the above at c/141:
`x = 3, y = 3, rule = B2cn3-ejqr4aeiknty5einqr6-ac7e/S02ac3anr4nqz5ir82bo\$obo\$2bo!`
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wildmyron

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### Re: Slowest 2-state spaceships of each cell count

Couldn't an evolution sequence like this allow for a slower 2-cell ship?
`x = 26, y = 2, rule = B/S0122o3b2o3bo4bo4bo3b2o\$6bo4bo3bo3bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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### Re: Slowest 2-state spaceships of each cell count

muzik wrote:Couldn't an evolution sequence like this allow for a slower 2-cell ship?
`x = 26, y = 2, rule = B/S0122o3b2o3bo4bo4bo3b2o\$6bo4bo3bo3bo!`

No. Gen 3 to gen 4 requires birth transition which would cause undesired birth after gen 1.
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wildmyron

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### Re: Slowest 2-state spaceships of each cell count

wildmyron wrote:No. Gen 3 to gen 4 requires birth transition which would cause undesired birth after gen 1.

Actually;
`@RULE MuzikThing@TABLEn_states:2neighborhood:Mooresymmetries:none0,1,0,0,0,0,0,0,1,11,0,0,0,0,1,0,1,0,00,1,0,1,0,0,0,0,0,11,0,0,0,0,0,0,0,1,00,0,1,1,0,0,0,0,0,11,1,0,0,0,0,0,0,0,01,0,1,0,0,0,0,0,0,00,0,0,1,0,1,0,0,0,1`
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`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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### Re: Slowest 2-state spaceships of each cell count

Saka wrote:
wildmyron wrote:No. Gen 3 to gen 4 requires birth transition which would cause undesired birth after gen 1.

Actually;
`@RULE MuzikThing@TABLEn_states:2neighborhood:Mooresymmetries:none0,1,0,0,0,0,0,0,1,11,0,0,0,0,1,0,1,0,00,1,0,1,0,0,0,0,0,11,0,0,0,0,0,0,0,1,00,0,1,1,0,0,0,0,0,11,1,0,0,0,0,0,0,0,01,0,1,0,0,0,0,0,0,00,0,0,1,0,1,0,0,0,1`

Ha, evidently I was looking at it backwards.
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wildmyron

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### Re: Slowest 2-state spaceships of each cell count

So what's its MAP string?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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### Re: Slowest 2-state spaceships of each cell count

muzik wrote:So what's its MAP string?

What's the MAP string for this (c/11)?
`x = 3, y = 1, rule = 2CellSlugobo!`

`@RULE 2CellSlug@TABLEn_states:2neighborhood:Mooresymmetries:none00100000110100000101010100000101100000110100000111111000001010111001100001101101110000000000001110011000111000101100000011011001001000010110000111000100000111010100010001`
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### Re: Slowest 2-state spaceships of each cell count

muzik wrote:So what's its MAP string?

What's the MAP string for this (c/11)?
`x = 3, y = 1, rule = 2CellSlugobo!`

That's really cool! I'll update it tomorrow and find the MAP string.
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`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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### Re: Slowest 2-state spaceships of each cell count

Updated
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`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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### Re: Slowest 2-state spaceships of each cell count

Saka wrote:Updated

Trivial counter-update (Sorry!):
Replacing death on 00011100 with death on 00011110 (for the canonical orientation in the OP) increases the period to 12.
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### Re: Slowest 2-state spaceships of each cell count

muzik wrote:So what's its MAP string?