Pinwheel

Pinwheel
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Pattern type	Oscillator
Oscillator type	Billiard table
Family	Pinwheel
Number of cells	35
Bounding box	12 × 12
Period	4 (mod: 1)
Heat	4.0
Volatility	0.20 | 0.20
Kinetic symmetry	nrk
Discovered by	Simon Norton
Year of discovery	1970
Rules Outer-totalistic rules B3/S23 – B3678/S0235678 # of rules 28 = 256 Isotropic rules B3ik/S2ik3aeinr – B2in34-intw5aceiy678/S01e234-n5678
Glider synthesis Fewest gliders (canonical) 164† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 112† Catagolue-generated RLE (cheapest variant) synthesis Uploaded synthesis RLE pinwheel_synth.rle †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext pinwheel.cells RLE pinwheel.rle
Identifiers apgcode (canonical) xp4_gg0g88bbgz11078c9a7066zy033 apgcode (cheapest variant) xp4_c4owggml56z09f0fghkif0cczy166 Pentadecathlon ID 35P4.10

Pinwheel (or Catherine wheel) is a period-4 oscillator found by Simon Norton in April 1970. It is a billiard table configuration and possibly the first period 4 oscillator discovered. Later, another billiard table clock 2 was found, which has the same stator as pinwheel.

On April 22, 2016, Martin Grant provided a glider synthesis for this oscillator. Using the same precursor, the two routes to pinwheel and clock 2 diverge in the middle.

See also

• Clock 2
• Sixty-nine
• p11 pinwheel

External links

• Pinwheel at the Life Lexicon

• Pinwheel at Adam P. Goucher's Catagolue

• 35P4.10 at Heinrich Koenig's Game of Life Object Catalogs