p146 pi-heptomino hassler

p146 pi-heptomino hassler
x = 28, y = 20, rule = B3/S23 27bo$26b2o$2o24b2o$bo24bo$bobo$2b2o$10b2ob2o$10bo3bo$10bo3bo$11bobo$ 12bo$4b2o$5bo$2b3o$2bo2$8b2o3bo5bo3bo$8b2o2bobo3b2o3b2o$13b2o3b2o3b2o$ 18bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ Y -2 LOOP 146 GPS 15 THUMBSIZE 2 HEIGHT 500 WIDTH 600 ]]
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Pattern type	Oscillator
Number of cells	51
Bounding box	29 × 24
Period	146 (mod: 146)
Heat	47.5
Volatility	0.94 | 0.87
Kinetic symmetry	Unspecified
Discovered by	Mitchell Riley Luke Kiernan Evin cvojan
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 – B3/S234c
Glider synthesis Fewest gliders (canonical) 20† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 19† Catagolue-generated RLE (cheapest variant) synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext p146piheptominohassler.cells RLE p146piheptominohassler.rle
Identifiers apgcode (canonical) xp146_4s0gyie7zw11y2ei0iezwo8a6y21zy466w4acxsexes apgcode (cheapest variant) xp146_4s0gyica23zw11y2ei0iezwo8a6y21zy466w4acxsexes

p146 pi-heptomino hassler (or 51P146) is a period-146 oscillator found by Mitchell Riley and Luke Kiernan on July 6, 2022 using a symmetric variant of CatForce. It was later monomerized by Evin and reduced further by cvojan into a 52-cell form, with the only difference from the current form being a fishhook instead of the single toad. On February 23, 2023, iNoMed replaced that fishhook with a toad, reducing it from 52 cells to 51. It is currently the smallest known oscillator of this period.

Later, iNoMed noted that a variant of this oscillator with minimum population of 66 cells is isotropically endemic to Game of Life, surpassing the previous record holder of p196 pi-heptomino hassler plus pentadecathlon at 78 cells:

x = 32, y = 24, rule = B3/S23 29bo$13bo13b3o$2o10b3o11bo$bo24b2o$bobo10bo$2b2o7bo2bo$11b3o5$4b2o$5bo $2b3o23b2o$2bo25bobo$30bo$8b2o3bo16b2o$8b2o2bobo$13b2o8b2obo$23b2ob3o$ 29bo$23b2ob3o$22bo2b2o$22b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ Y -2 LOOP 146 GPS 15 THUMBSIZE 2 HEIGHT 500 WIDTH 600 ]]

Endemic variant of this oscillator (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

On July 9, 2023, KtT found a 19-glider synthesis for the 52-cell form (improving over a previously known 20-glider synthesis), and a 20-glider synthesis for the 51-cell form.

External links

• p146 pi-heptomino hassler at Adam P. Goucher's Catagolue