Pentoad

Pentoad
x = 13, y = 12, rule = B3/S23 11b2o$11bo$9bobo$9b2o$5b2o$6bo$6bo$6b2o$2b2o$bobo$bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 2 ZOOM 16 LOOP 5 ]]
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Pattern type	Oscillator
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
Rules Outer-totalistic rules B3/S23 – B378/S023678 Important rules Conway Life # of rules 26 = 64 Isotropic rules B3aijqr/S2-in3ijnr – B2i34-ajn5-ijq6-k78/S0234-jktw5-y678
Glider synthesis Fewest gliders 10 Catagolue-generated RLE pentoad_synth.rle Uploaded synthesis RLE pentoad_synth.rle
Pattern files Plaintext pentoad.cells RLE pentoad.rle
Identifiers apgcode xp5_y4ca23zwgg3226z6221 Pentadecathlon ID 20P5.9

Pentoad (or eater-bound Z-hexomino) 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.

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. 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.

goldenratio found a 10-glider synthesis of this oscillator on September 3, 2020.

Gallery

x = 17, y = 16, rule = b3/s23 15b2o$15bob$13bobob$13b2o2b$9b2o6b$10bo6b$10bo6b$10b2o5b$5b2o10b$6bo 10b$6bo10b$6b2o9b$2b2o13b$bobo13b$bo15b$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]]

Pentoad with two Z-hexominoes (click above to open LifeViewer) RLE: here Plaintext: here

See also

• Biting off more than they can chew
• Toad
• Smallest period 5 oscillators

External links

• Pentoad at the Life Lexicon

• Pentoad at Adam P. Goucher's Catagolue

• 20P5.9 at Heinrich Koenig's Game of Life Object Catalogs