30P25

30P25
x = 20, y = 20, rule = B3/S23 o$3o$3bo$2bo$2bo2bo2$6b2o$7bo$5bobo$4b2o$14b2o$12bobo$12bo$12b2o2$14bo 2bo$17bo$16bo$17b3o$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 3 ZOOM 18 HEIGHT 500 GPS 5 LOOP 25 ]]
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Pattern type	Oscillator
Number of cells	30
Bounding box	20 × 20
Period	25
Mod	25
Heat	28.5
Volatility	0.92
Strict volatility	0.92
Discovered by	Charity Engine
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 – B38/S238 # of rules 22 = 4 Isotropic rules B3-y/S23-cy – B34ce5c6c8/S234ce5e6ei7e8
Glider synthesis Fewest gliders 13 Catagolue-generated RLE synthesis
Pattern files Plaintext 30p25.cells RLE 30p25.rle
Identifiers apgcode xp25_32aczy0ooj64zy74cp33zyc6a8o

30P25 is a period-25 oscillator discovered by Charity Engine on May 18, 2022 by symmetric soup search. In this oscillator, a symmetric reaction with two copies of an unnamed unstable object is stabilized by two copies of eater 1. In terms of its 30 cells, it is the smallest known period-25 oscillator, later followed by 36P25 and 45P25; all three are far ahead of the previous record (p25 pre-pulsar shuttle) with 83 cells.

On May 18, 2022, a 14-glider synthesis was found; the unstable object has exactly one 3-glider synthesis which is used for both copies, and each of the two fishhooks requires four gliders, for a total of 14. On August 27, 2023, Carson Cheng found a 13-glider synthesis.

30P25 gives off sparks, which allows for the construction of non-trivial higher-period LCM oscillators, shown in the gallery below, as well as the following hassler.

x = 21, y = 42, rule = B3/S23 o$3o$3bo$2b2o2$5b4o$4b2obob2o$4bob2o2b2o$8b3o$9bo$10bo$9b3o$8b2o2b2ob o$9b2obob2o$11b4o2$16b2o$16bo$17b3o$9b3o7bo$11bo$9bo$bo7b3o$b3o$4bo$3b 2o2$6b4o$5b2obob2o$5bob2o2b2o$9b3o$10bo$11bo$10b3o$9b2o2b2obo$10b2obo b2o$12b4o2$17b2o$17bo$18b3o$20bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 HEIGHT 500 GPS 12 THEME Book AUTOSTART ]]

A p25 hassler using two instances of 30P25 (Carson Cheng, 2022) (click above to open LifeViewer) Catagolue: here

LCM oscillators

The 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 = 25, y = 22, rule = B3/S23 19bo$17b3o$16bo$16b2o2$13bo$12b2o$11b2o$14b2o$13b3o$4b3o$4b2o$7b2o$6b 2o11b2o$6bo12bo2bo$15bo4bo3bo$2b2o12b2o3bob2o$3bo$3o9b2obo3b2o$o11bo3b o4bo$14bo2bo$16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 50 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p50 with 24P10 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 26, y = 20, rule = B3/S23 6bo$6b3o$9bo$8bo$8bo2bo2$12b2o$13bo$11bobo$10b2o$20b2o$18bobo$18bo$18b 2o2$2bo4bo12bo2bo$2ob4ob2o13bo$2bo4bo14bo$23b3o$25bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 75 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p75 with pentadecathlon (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 20, y = 20, rule = B3/S23 18b2o$18bo$16bobo$10bo2bo2b2o$10bo2bo$9bo4bo$13bo$10b2obo5$6bob2o$6bo$ 5bo4bo$6bo2bo6b3o$2b2o2bo2bo4bob3o$bobo9bobobo$bo11bo2bo$2o12b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 100 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p100 with mold (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 23, y = 23, rule = B3/S23 2b2o$bobo$3o$2o19b2o$bobo17bo$2bobo2b2o10bobo$3bo2bobo4bo2bo2b2o$4b4o 5bo2bo$5b2o5bo4bo$16bo$13b2obo5$9bob2o$9bo$8bo4bo$9bo2bo$5b2o2bo2bo$4b obo$4bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 150 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p150 with unix (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 35, y = 20, rule = B3/S23 15b2o$16bo$16bobo$17b2o3bo$23b2o$23b2o$7bo4b2o5bo3bo3bo$5bobo4bobo2bob o3bo3b3o$3bo2bo6b3o6b2o3b3o$2b3obobo5b2o6b2o4b3o$b2o3b4o3b2o4b3o4b2o$ 2o5bobob3o6b3o3b2o$3o6bo2bo7b3o3bo3bobo$bobo4bobo11bo3bo3bo$2b2o4bo16b 2o$25b2o$27bo3b2o$31bobo$33bo$33b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 175 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p175 with 34P7 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 29, y = 20, rule = B3/S23 18b2o$18bo$16bobo$12bo3b2o$10b2o$10b2o$7bo3bo3bo5b2o$5b3o3bo3bobo$5b3o 3b2o6bo3bo$4b3o4b2o6bo4bo$7b2o4b3o5bobobo$7b2o3b3o7bobobo$2bobo3bo3b3o 8bo4bo$4bo3bo3bo11bo3bo$8b2o$8b2o15b2o$2b2o3bo$bobo$bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 200 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p200 with figure eight (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 25, y = 41, rule = B3/S23 18b2o$17bobo$18bo4$23bo$23bo$15bo6bobo$14b2o7bo$8b2o3b2o8bo$8b2o4b2o7b o$15bo7bo$22bobo$23bo$23bo6$o$3o$3bo$2bo$2bo2bo2$6b2o$7bo$5bobo$4b2o$ 14b2o$12bobo$12bo$12b2o2$14bo2bo$17bo$16bo$17b3o$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 225 THUMBSIZE 2 ZOOM 10 HEIGHT 450 ]]

p225 with p45 pi-heptomino hassler (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 23, y = 25, rule = B3/S23 18b2o$18bo$16bobo$12bo3b2o$10b2o$10b2o$7bo3bo3bo$5b3o3bo3bobo$5b3o3b2o $4b3o4b2o$7b2o4b3o$7b2o3b3o$2bobo3bo3b3o$4bo3bo3bo$8b2o7b3o$8b2o5b3obo $2b2o3bo11bob2o$bobo9bo3b3o2bo$bo11bo2b2o2b2o$2o7b2o3b2o2b2o$9bo2bobob o2bo$11b2o2b4o$12bo$11bo5b2o$11b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 275 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p275 with p11 domino sparker (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 25, y = 30, rule = B3/S23 13bobobobo$12bob2ob2obo$10b3o7b3o$9bo4b2ob2o4bo$9bo2b2obobob2o2bo$8b2o bobo5bobob2o$9bobo2b2ob2o2bobo$9bobo3b3o3bobo$10bo11bo2$2o$bo$bobo12bo $2b2o3bo7bobo$8b2o$8b2o5bo3bo$4bo3bo3bo6bo$2bobo3bo3b3o3bo$7b2o3b3o4b 3o$7b2o4b3o5bo$4b3o4b2o$5b3o3b2o$5b3o3bo3bobo$7bo3bo3bo$10b2o$10b2o$ 12bo3b2o$16bobo$18bo$18b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 325 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p325 with 66P13 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 20, y = 42, rule = B3/S23 o$3o$3bo$2b2o2$5bo$3b2ob2o2$7bo$3b2o2bo6bo$5bo6bo2b2o$12bo2$12b2ob2o$ 14bo$2bo$2b3o11b2o$5bo10bo$4b2o11b3o$5b3o11bo$6b3o$6b4o$9b2o$9b3o$6b2o bo$6b2o6$6b2o$4bob2o$2b3o$3b2o$4b4o$5b3o$6b3o$8b2o$8bo$9b3o$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 LOOP 550 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]

p550 with Jason's p22 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 41, y = 35, rule = B3/S23 21b2o$22bo$22bob2o$23bo$30bo$25bo3b2o$27bo$27b3o5$o31b3o$3o31bo$3bo27b 2o3bo$2b2o27bo$38bo$36b2obo$39bo$19bo19b2o$b3o3b3o8b2o$17bo$5bo12b2o$ 5bo13bo$5bo5$14b2o8b2o$14bo2b6o2bo$15b2o6b2o$12b3o10b3o$12bo2bobo4bobo 2bo$13b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 HEIGHT 500 ]]

p1900 with P76 pi-heptomino hassler (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

See also

• 32P21, also found by Charity Engine via rotationally symmetric soup search
• Jason's p22, an oscillator that also consists of two eater 1s hassling a rotationally symmetric active reaction

External links

• 30P25 at Adam P. Goucher's Catagolue