106P135

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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

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.[1] 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

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.

External links