106P135
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106P135 | |||||||||||
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Pattern type | Oscillator | ||||||||||
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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 | ||||||||||
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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
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
External links
- 106P135 at Adam P. Goucher's Catagolue (extended)
Categories:
- Patterns
- Oscillators with between 100 and 109 cells
- Periodic objects with minimum population between 100 and 109
- Patterns with between 100 and 109 cells
- Patterns found by Bill Gosper
- Patterns found in 1989
- Patterns that can be constructed with 28 gliders
- Outer-totalistically endemic patterns
- Oscillators
- Relays
- Oscillators with period 135
- Oscillators with mod 135
- Oscillators with heat between 140 and 149
- Oscillators with volatility 0.99
- Oscillators with strict volatility 0.36
- Oscillators with -e symmetry
- Unnamed periodic objects