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Gems rule
Rulestring 4568/3457
Rule integer 188600
Character Explosive
Black/white reversal B15678/S02678

Gems is a Life-like cellular automaton in which dead cells are born if they have precisely three, four, five or seven live neighbors, and in which live cells will survive if they have precisely four, five, six or eight live neighbors. Small random initial configurations in Gems tend to turn into high-period oscillators (the "gems" the rule is named after); larger random initial configurations explode slowly.


No still lifes exist in Gems, and no odd period oscillators have been found in Gems.


Gems has a single known spaceship moving orthogonally at a speed of c/5648, David Eppstein's glider 13047. This is the slowest known elementary spaceship in any two-state outer-totalistic rule. It was also the slowest known across all two-state isotropic rules until it was surpassed by a c/5953 spaceship in the rule B2-an3acqry4cnw5-cj6cei78/S1c2n3-nqy4acknqtw5-ijkr6ei78, found by Arie Paap in July 2019.[1]

x = 12, y = 14, rule = B3457/S4568 5b2o$3bo4bo$3b2o2b2o$b3o4b3o$b3o4b3o$2ob6ob2o$3ob4ob3o$ob3o2b3obo$2ob6ob2o$ob obo2bobobo$2b2ob2ob2o$2b8o$4b4o$4bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
Glider 13047 (Catagoluehere)
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RLE: here Plaintext: here


  1. Arie Paap (July 24, 2019). Re: Smallest Spaceships Supporting Specific Speeds (5s) Project (discussion thread) at the ConwayLife.com forums

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