54P94

54P94
x = 37, y = 28, rule = B3/S23 13b2o$13b2o5$29b2o$29b2o$35b2o$3b2o30bo$3bo7b3o19bobo$13b2o18b2o$11bo 2bo$12b2o$23b2o$22bo2bo$2b2o18b2o$bobo19b3o7bo$bo30b2o$2o$6b2o$6b2o5$ 22b2o$22b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 15 GPS 15 ]]
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Pattern type	Oscillator
Number of cells	54
Bounding box	37 × 28
Period	94 (mod: 94)
Heat	45.6
Volatility	0.95 | 0.95
Kinetic symmetry	.e
Discovered by	Nora Brown
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 – B38/S23 # of rules 21 = 2 Isotropic rules B3/S23 – B38/S23
Glider synthesis Fewest gliders 20† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext 54p94.cells RLE 54p94.rle
Identifiers apgcode xp94_y933zxggyk66y0o8zx1y359b6y4ggy4321zgs26ye3645y28czy233zyi66

54P94 is the smallest known period-94 oscillator, surpassing the 68-cell p94 R-pentomino hassler. It was found by Nora Brown on November 3, 2022.

Unusually, in this pi-heptomino hassler, the pi-heptomino evolutionary sequence is entered at generation 6, whereas the vast majority of pi-heptomino sequences converge in generation 3 or earlier.

x = 37, y = 28, rule = B3/S23 13b2o$13b2o5$29b2o$29b2o$35b2o$3b2o30bo$3bo7b3o19bobo$13b2o18b2o$11bo 2bo$12b2o$23b2o$22bo2bo$2b2o18b2o$bobo19b3o7bo$bo30b2o$2o$6b2o$6b2o5$ 22b2o$22b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 HEIGHT 500 THEME Book STARTFROM 94 ]]

One of two minimum-population phases of 54P94, shown with highlighted envelope of the oscillator. The other minimum-population phase is 20 ticks later (click above to open LifeViewer) RLE: here Plaintext: here

On February 8, 2024, KtT lowered the synthesis cost to 20 gliders.

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 = 37, y = 33, rule = B3/S23 13b2o$13b2o5$29b2o$29b2o$35b2o$3b2o30bo$3bo7b3o19bobo$13b2o18b2o$11bo2bo$12b2o$23b2o$22bo2bo$2b2o18b2o$bobo19b3o7bo$bo30b2o$2o$6b2o$6b2o5$22b2o$15b2o5b2o$13b2o2b2o$13bo4bo$14bo2bo$12bobo2bobo$12b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 THUMBSIZE 2 ZOOM 13 THEME Book STARTFROM 470 ]]

p470 with fumarole (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 37, y = 39, rule = B3/S23 6b3ob2o$4b3obo$4bo4bo3bo$4bobo6bo$11bo$5b2o5b2o$5bo7bo$b2o2bo2bobob2o $b2o3b3o3bo$10b3o2$5b2o15b2o$5b2o15b2o5$6b2o$6b2o$2o$bo30b2o$bobo19b3o 7bo$2b2o18b2o$22bo2bo$23b2o$12b2o$11bo2bo$13b2o18b2o$3bo7b3o19bobo$3b 2o30bo$35b2o$29b2o$29b2o5$13b2o$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 940 THUMBSIZE 2 ZOOM 10 HEIGHT 450 THEME BOOK STARTFROM 940 ]]

p940 with 34P20 (click above to open LifeViewer) Catagolue: here

x = 37, y = 38, rule = B3/S23 8b2o$8b2o2$8b4o$8bo3bo$10b2obo$9bobobo2bo$9bobobobobo$9b3obo2bo$12b2o $6b2o14b2o$7bo14b2o$4b3o$4bo3$6b2o$6b2o$2o$bo30b2o$bobo19b3o7bo$2b2o18b 2o$22bo2bo$23b2o$12b2o$11bo2bo$13b2o18b2o$3bo7b3o19bobo$3b2o30bo$35b2o $29b2o$29b2o5$13b2o$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 1034 THUMBSIZE 2 ZOOM 10 HEIGHT 450 THEME BOOK STARTFROM 1034 ]]

p1034 with p11 thumb (click above to open LifeViewer) Catagolue: here

External links

• 54P94 at Adam P. Goucher's Catagolue