106P135

106P135
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Pattern type	Oscillator
Oscillator type	Relay
Number of cells	106
Bounding box	54 × 33
Period	135 (mod: 135)
Heat	143.32
Volatility	0.99 | 0.36
Kinetic symmetry	-e
Discovered by	Bill Gosper
Year of discovery	1989
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3-cy/S23-ck – B34ctz5cikr6-ik7c/S234cjy5cer6-ac
Glider synthesis Fewest gliders 28† Catagolue-generated RLE synthesis Uploaded synthesis RLE 106p135_synth.rle †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext 106p135.cells RLE 106p135.rle
Identifiers apgcode xp135_xskssssksx4ocy333y3co4xsksssskszzs88s0ss0s88sy8ggy8s88s0ss0s88szyk11zyevtvy4vtvzye757y4757

106P135 is a period-135 oscillator, previously the smallest known. It consists of six pentadecathlons and two blocks shifting gliders back and forth. It was found by Bill Gosper in 1989. It can be seen as two copies of 6 bits with intermediate rephasers.

Moving either the upper pentadecathlons or lower pairs outwards by a multiple of 15 cells provides a construction of a 106-cell oscillator of all periods of the form 135+120*n, including the former smallest known of period 255.

See also

• p60 glider shuttle
• Glider-block cycle

External links

• 106P135 at Adam P. Goucher's Catagolue (extended)