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 ]]
View static image
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	n
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) 18† Catagolue-generated RLE (canonical) synthesis Fewest gliders (cheapest variant) 18† 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. On December 28, 2023, Carson Cheng improved the cost to 18 gliders for both forms.

LCM oscillators

The LCM oscillators below are listed due to being the smallest known ones by population while also satisfying the condition that at least one cell oscillates at the full period.

x = 33, y = 20, rule = B3/S23 8bo5bo$8b2o3b2o3b2o$4bo3b2o3b2o3bobo2b2o$2b2obo3bo3bo5bo3b2o$bo$obo2bo 24bo$o2bo24b3o$b2o24bo$27b2o5$19b3o$18bo2bo7b2o$18bo10bobo$6bo24bo$5b 2o11b3o10b2o$5b2o12bo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 400 ]]

63P292 with mold (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 36, y = 20, rule = B3/S23 27bo$26b2o$2o24b2o$bo24bo$bobo$2b2o$10b2ob2o$10bo3bo$10bo3bo$11bobo$ 12bo$4b2o$5bo24bo$2b3o23bo3b4o$2bo25bo3bo$28bo$8b2o3bo5bo3bo7bo$8b2o2b obo3b2o3b2o4b2o$13b2o3b2o3b2o$18bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 400 ]]

63P438 with caterer (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 29, y = 33, rule = B3/S23 4b2o3b2o$3bo7bo2b2o$6bobo5bobo2b2o$4b2o3b2o4bo3b2o2$26bo$24b3o$23bo$ 23b2o6$20bo4b2o$15b3obobo3bobo$b2o13bo3bo6bo$3bo8b3o12b2o$o$b2o8$11b2o $11b2obo$15bo$12bo$13bob2o$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 400 ]]

64P584 with figure eight (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 34, y = 20, rule = B3/S23 9bo5bo$bo2bo4b2o3b2o3b2o$ob2obo3b2o3b2o3bobo2b2o$bo2bo5bo3bo5bo3b2o$bo 2bo$ob2obo25bo$bo2bo24b3o$28bo$28b2o5$20b3o$19bo2bo7b2o$19bo10bobo$7bo 24bo$6b2o11b3o10b2o$6b2o12bo$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 400 ]]

67P730 with octagon 2 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 28, y = 40, rule = B3/S23 3bo5bo$3b2o3b2o3b2o$3b2o3b2o3bobo2b2o$4bo3bo5bo3b2o2$25bo$23b3o$22bo$ 22b2o5$14b3o$13bo2bo7b2o$13bo10bobo$bo24bo$2o11b3o10b2o$2o12bo$o7$7b2o $9bo2b2o$9bo2b2o$8b2o$6bo$6bobobo$6bo3b2o$7b2o3bo$8bobobo$12bo$9b2o$5b 2o2bo$5b2o2bo$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 480 ]]

85P1022 with 34P7 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 41, y = 28, rule = B3/S23 9bo$7b3o$6bo$6b2o2$4bo$3bobo$2bo3bo$2bo2bo10bo5bo$2bo2bo10b2o3b2o3b2o$ 3b2o11b2o3b2o3bobo2b2o$17bo3bo5bo3b2o2$38bo$36b3o$35bo$5b2o28b2o$4bo2b o$4bo2bo$3bo3bo$4bobo$5bo21b3o$26bo2bo7b2o$2b2o22bo10bobo$3bo9b2o24bo$ 3o11bo11b3o10b2o$o10b3o13bo$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 400 ]]

88P1606 with Jason's p22 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 28, y = 42, rule = B3/S23 3bo5bo$3b2o3b2o3b2o$3b2o3b2o3bobo2b2o$4bo3bo5bo3b2o2$25bo$23b3o$22bo$ 22b2o5$14b3o$13bo2bo7b2o$13bo10bobo$bo24bo$2o11b3o10b2o$2o12bo$o9$15b 2o$7bo7b2o$6bo2bo$5bo3bo$5bo3bo$5bo$10bo$6bo$11bo$7bo3bo$7bo3bo$7bo2bo $2o7bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 480 ]]

77P2920 with Beluchenko's p40 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 61, y = 20, rule = B3/S23 36bo5bo$36b2o3b2o3b2o$36b2o3b2o3bobo2b2o$17b2o18bo3bo5bo3b2o$2o15bobo 7b2o$2o17bo7b2o29bo$17b3o36b3o$55bo$55b2o2$17b3o$2o17bo$2o15bobo$17b2o 28b3o$46bo2bo7b2o$46bo10bobo$33b2o24bo$34bo11b3o10b2o$31b3o13bo$31bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 WIDTH 700 HEIGHT 400 ]]

80P3358 with twin bees shuttle (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 29, y = 47, rule = B3/S23 4bo5bo$4b2o3b2o3b2o$4b2o3b2o3bobo2b2o$5bo3bo5bo3b2o2$26bo$24b3o$23bo$ 23b2o5$15b3o$14bo2bo7b2o$14bo10bobo$2bo24bo$b2o11b3o10b2o$b2o12bo$bo2$ 5bo$5b3o$8bo$7b2o2$2o13b2obo$bo13bob2o$bobo$2b2o6$7b3o$b2o4bobo$b2o4bo 5$13b3o$7b2o5b3o$8bo$5b3o$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 520 ]]

94P3942 with 43P54 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 28, y = 42, rule = B3/S23 3bo5bo$3b2o3b2o3b2o$3b2o3b2o3bobo2b2o$4bo3bo5bo3b2o2$25bo$23b3o$22bo$ 22b2o5$14b3o$13bo2bo7b2o$13bo10bobo$bo24bo$2o11b3o10b2o$2o12bo$o10$9b 2obo2bob2o$2b2o4bo2bo4bo2bo4b2o$2b2o5bobo4bobo5b2o$10bo6bo6$10bo6bo$2b 2o5bobo4bobo5b2o$2b2o4bo2bo4bo2bo4b2o$9b2obo2bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 520 ]]

99P4526 with Merzenich's p31 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

External links

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