toying with the single rotation rule reversible CA; not only does it have gliders, it also has isolators and "electrons" which move along them. http://dmishin.blogspot.com/2013/11/the-single-rotation-rule-remarkably.html …pic.twitter.com/QdJ0Soug8s
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here's the fastest known glider for the SRRCA, one for every axis aligned direction. there are over 90 different spaceships possible, which are able to travel at different angles and speeds.pic.twitter.com/CAIoZUQlFS
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90° rotators for 6-cycle gliders. each turn completes in 330 cyclespic.twitter.com/THbzDbzN14
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gliders can't be destroyed, and they can't be trapped (as that would violate reversibility); but they can get stuck at rigid obstacles for long periods of time, which could be used to halt gliders long enough to finish a program.
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gliders of same phase hitting each other just right can perform a horizontal -> vertical flip in 22 cycles.pic.twitter.com/MyHI1jQsAQ
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apparently it was shown in 1977 that any irreversible d-dimensional cellular automaton rule can be turned into a reversible (d + 1)-dimensional rule. so many features of irreversible CA, such as ability to simulate Turing machines, can be extended to reversible CA.
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another ruleset for a reversible cellular automaton, the "billiard ball machine". while the rules are fairly simple, which is why i initially dismissed them as boring, one gets interesting behavior inside obstacle courses:pic.twitter.com/PMUVq4jvcy
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here for example is a (fairly useless) XOR circuit implemented in the BBM-CA.pic.twitter.com/XKUxfGTfGv
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found another reversible CA called "Double Rotation Rule" which is good for uh...pic.twitter.com/BogYgsMcoK
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