Pentoad
Pentoad (or eater-bound Z-hexomino[1]) is a period-5 oscillator that was found by Bill Gosper in June 1977. It consists of a Z-hexomino that is stabilized by two eater 1s.
Pentoad | |||||||||||
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Pattern type | Oscillator | ||||||||||
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Number of cells | 20 | ||||||||||
Bounding box | 13×12 | ||||||||||
Period | 5 | ||||||||||
Mod | 5 | ||||||||||
Heat | 8.8 | ||||||||||
Volatility | 0.65 | ||||||||||
Strict volatility | 0.65 | ||||||||||
Discovered by | Bill Gosper | ||||||||||
Year of discovery | 1977 | ||||||||||
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It was discovered by Scott Kim that this oscillator is extensible by moving one of the eaters diagonally away by four cells and inserting another Z-hexomino in the gap.[2] A pentoad constructed in this way with n Z-hexominoes has 14 + 6n cells and heat 8.8 + 6.4n. The pentoad with two Z-hexominoes is shown below.
Image gallery
gollark: Brilliant.
gollark: =wolf plot sin(x * cos(tan(x))
gollark: =wolf in(x)
gollark: Timothy?
gollark: Tim?
References
- Mark D. Niemiec. "Eater-bound Z-hexomino glider synthesis RLE file". Retrieved on April 28, 2009.
- Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
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