p79 pi-heptomino hassler

For other p79 pi-heptomino hasslers, see pi-heptomino hasslers#p79.

p79 pi-heptomino hassler
x = 43, y = 28, rule = B3/S23 36bo$14b2o18b3o$14bo18bo$15bo17b2o$14b2o2$b2o$2bo38b2o$bo39bo$b2o36bob o$3bo9b2o24b2o$b3o8bobo$o11bo$2o10bobo13b2o$13b2o13bobo10b2o$30bo11bo$ 28bobo8b3o$2b2o24b2o9bo$bobo36b2o$bo39bo$2o38bo$40b2o2$27b2o$8b2o17bo$ 9bo18bo$6b3o18b2o$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 10 ZOOM 8 ]]
View static image
Pattern type	Oscillator
Number of cells	80
Bounding box	43 × 28
Period	79 (mod: 79)
Heat	45.7
Volatility	0.89 | 0.89
Kinetic symmetry	.e
Discovered by	Luke Kiernan
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 – B3/S238 # of rules 21 = 2 Isotropic rules B3/S23 – B3/S234c8
Glider synthesis Fewest gliders (canonical) 35† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 31† Catagolue-generated RLE (cheapest variant) synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext p79pihassler.cells RLE p79pihassler.rle
Identifiers apgcode (canonical) xp79_y232acydqmz4s0gywmqzgg11y5goy9re4y432acz1qa6y4136ykc4oz023y78oydggy211zya32yd1226 apgcode (cheapest variant) xp79_y232acyb62sgz4s0gywmqzgg11y5goy9re4y432acz1qa6y4136ykc4oz023y78oydggy211zyb123yb1226

p79 pi-heptomino hassler is the smallest known period-79 oscillator, found by Luke Kiernan on September 27, 2022 using symmetric CatForce. It is also the first known oscillator of this period whose period is not adjustable.

A 31-glider synthesis exists for the variant shown below, where the snakes are replaced with fishhooks using the same snake rock reaction.

x = 43, y = 28, rule = B3/S23 6bo$6b3o16b2o$9bo15bobo$8b2o17bo$27b2o2$40b2o$2o38bo$bo39bo$bobo36b2o$ 2b2o24bo10bo$27bobo9b3o$30bo11bo$14bo12bobo11b2o$2o11bobo12bo$o11bo$b 3o9bobo$3bo10bo24b2o$b2o36bobo$bo39bo$2bo38b2o$b2o2$14b2o$15bo17b2o$ 15bobo15bo$16b2o16b3o$36bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 GPS 10 AUTOSTART ]]

Variant where snakes are replaced with fishhooks (click above to open LifeViewer) RLE: here Plaintext: here

On October 10, 2023, KtT found a 43-glider synthesis of the canonical form of the oscillator, which Chris857 reduced to 35 gliders the next day.

External links

• p79 pi-heptomino hassler at Adam P. Goucher's Catagolue