Slowest spaceship in a MAP rule.

[LuxiusGOL]

I know this is similar to the "slowest 1-cell spaceship" topic, but I am just curious about what the slowest one is.

[blah]

Well, CGoL is a MAP rule. Take Gemini, and move the two parts arbitrarily far away, to make it arbitrarily slow.

That's probably not in the spirit of the question, but I'm not sure what is.

[LuxiusGOL]

There are 13,​407,​807,​929,​942,​597,​099,​574,​024,​998,​205,​846,​127,​479,​365,​820,​592,​393,​377,​723,​561,​443,​721,​764,​030,​073,​546,​976,​801,​874,​298,​166,​903,​427,​690,​031,​858,​186,​486,​050,​853,​753,​882,​811,​946,​569,​946,​433,​649,​006,​084,​096 MAP rules. That number is huge compared to the 262,144 regular rules

[PkmnQ]

Is there anything wrong with:

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.oo
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[Moosey]

Is there anything wrong with:

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.oo
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Yes, the top-right cell would cause another birth further in the direction
Blah has much slower 1-cell SSes though.

There are 13,​407,​807,​929,​942,​597,​099,​574,​024,​998,​205,​846,​127,​479,​365,​820,​592,​393,​377,​723,​561,​443,​721,​764,​030,​073,​546,​976,​801,​874,​298,​166,​903,​427,​690,​031,​858,​186,​486,​050,​853,​753,​882,​811,​946,​569,​946,​433,​649,​006,​084,​096 MAP rules. That number is huge compared to the 262,144 regular rules

Doesn't matter though because the existence of arbitrarily slow spaceships necessarily means there is no slowest spaceship across map rules.

[Hunting]

What's the slowest one in a non-isotropic 2-state rule, though? CGoL is isotropic.

[Saka]

What's the slowest one in a non-isotropic 2-state rule, though? CGoL is isotropic.

That's still quite easy, take an adjustable ship rule, say this (src: viewtopic.php?f=11&t=3081#p54706):

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x = 14, y = 39, rule = B2c3aejr4ijr5i7e/S12-en3einr4eijt5ry6e7e8
6bo$2bo4bo$o2b6o$b2o4bo$6bo3$7bo$2bo6bo$o2b7o$b2o6bo$7bo4$2bo7bo$o2b8o
$b2o7bo5$2bo8bo$o2b9o$b2o8bo5$2bo9bo$o2b10o$b2o9bo5$2bo10bo$o2b11o$b2o
10bo!

And remove one of the non-required transitions in a certain orientation, or alternatively get the transitions required only to make the ships go in one direction. And there you have it, infinitely slow ships in a non-isotropic rule.

[Hunting]

What's the slowest one in a non-isotropic 2-state rule, though? CGoL is isotropic.

That's still quite easy, take an adjustable ship rule, say this (src: viewtopic.php?f=11&t=3081#p54706):

Code: Select all

x = 14, y = 39, rule = B2c3aejr4ijr5i7e/S12-en3einr4eijt5ry6e7e8
6bo$2bo4bo$o2b6o$b2o4bo$6bo3$7bo$2bo6bo$o2b7o$b2o6bo$7bo4$2bo7bo$o2b8o
$b2o7bo5$2bo8bo$o2b9o$b2o8bo5$2bo9bo$o2b10o$b2o9bo5$2bo10bo$o2b11o$b2o
10bo!

And remove one of the non-required transitions in a certain orientation, or alternatively get the transitions required only to make the ships go in one direction. And there you have it, infinitely slow ships in a non-isotropic rule.

Oh, you win. But how about 2-cell spaceships?

[LuxiusGOL]

What's the slowest one in a non-isotropic 2-state rule, though? CGoL is isotropic.

That's still quite easy, take an adjustable ship rule, say this (src: viewtopic.php?f=11&t=3081#p54706):

Code: Select all

x = 14, y = 39, rule = B2c3aejr4ijr5i7e/S12-en3einr4eijt5ry6e7e8
6bo$2bo4bo$o2b6o$b2o4bo$6bo3$7bo$2bo6bo$o2b7o$b2o6bo$7bo4$2bo7bo$o2b8o
$b2o7bo5$2bo8bo$o2b9o$b2o8bo5$2bo9bo$o2b10o$b2o9bo5$2bo10bo$o2b11o$b2o
10bo!

And remove one of the non-required transitions in a certain orientation, or alternatively get the transitions required only to make the ships go in one direction. And there you have it, infinitely slow ships in a non-isotropic rule.

Oh, you win. But how about 2-cell spaceships?

or cells of spaceships that are lower than the boundary box for spaceships in a B/S rule?
The fastest spaceship in a MAP rule is technically rules with a c/1 diagonal (which exists)