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Slowest spaceship in a MAP rule.

Posted: May 27th, 2020, 4:00 pm
by LuxiusGOL
I know this is similar to the "slowest 1-cell spaceship" topic, but I am just curious about what the slowest one is.

Re: Slowest spaceship in a MAP rule.

Posted: May 27th, 2020, 4:08 pm
by 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.

Re: Slowest spaceship in a MAP rule.

Posted: May 27th, 2020, 5:53 pm
by 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

Re: Slowest spaceship in a MAP rule.

Posted: May 28th, 2020, 3:38 am
by PkmnQ
Is there anything wrong with:

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.oo
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Re: Slowest spaceship in a MAP rule.

Posted: May 28th, 2020, 9:23 am
by Moosey
PkmnQ wrote: May 28th, 2020, 3:38 am Is there anything wrong with:

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.o.
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.oo
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..o
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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.
LuxiusGOL wrote: May 27th, 2020, 5:53 pm 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.

Re: Slowest spaceship in a MAP rule.

Posted: May 29th, 2020, 11:58 pm
by Hunting
What's the slowest one in a non-isotropic 2-state rule, though? CGoL is isotropic.

Re: Slowest spaceship in a MAP rule.

Posted: May 30th, 2020, 12:07 am
by Saka
Hunting wrote: May 29th, 2020, 11:58 pm 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.

Re: Slowest spaceship in a MAP rule.

Posted: May 30th, 2020, 12:09 am
by Hunting
Saka wrote: May 30th, 2020, 12:07 am
Hunting wrote: May 29th, 2020, 11:58 pm 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?

Re: Slowest spaceship in a MAP rule.

Posted: May 30th, 2020, 3:04 am
by LuxiusGOL
Hunting wrote: May 30th, 2020, 12:09 am
Saka wrote: May 30th, 2020, 12:07 am
Hunting wrote: May 29th, 2020, 11:58 pm 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)