30P25 is a period-25 oscillator discovered by Charity Engine on May 18, 2022 by symmetric soup search.[1] 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[2] ; 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.[3] On August 27, 2023 , Carson Cheng found a 13-glider synthesis.[4] [5]
30P25 gives off sparks , which allows for the construction of non-trivial higher-period LCM oscillators ,[6] 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 ]]
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A p25 hassler using two instances of 30P25 (Carson Cheng, 2022)[7] (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 ]]
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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 ]]
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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$2o12b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ GPS 25 LOOP 100 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
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p100 with mold (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 23, y = 23, rule = B3/S23
2b2o$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 ]]
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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 ]]
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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 ]]
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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 ]]
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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 ]]
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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 ]]
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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 ]]
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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 ]]
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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
References
External links