42P38 is a small period-38 oscillator found by Mitchell Riley on April 21, 2023 .[1] With only 42 cells, it is the smallest known period-38 oscillator by population; surpassing 44P38 . It consists of an R-pentomino turning into an octomino II via fishhook , then turning back into an R-pentomino via a combination of a transparent blinker plus toad catalyst and hitting a second copy of itself.
It is a delayed domino sparker, allowing for the construction of some LCM oscillators and a period-38 honey farm hassler :
x = 64, y = 38, rule = B3/S23
37b2o$34bo2bo$32b3o3b3o2b2o$31bo3b3o3bo2bo$32b3o3bob2obo$34bob2o4bo6b
3o$35bobob3o6b3o$25b2o11b2o4b3o$25bobo5b3o$26bo5bo3bo$12b3o16bo5bo$11b
3o17bo5bo11bo13bo$7b3o21bo5bo8bo2bo11b3o$32bo3bo8bo14bo$33b3o9bobo12b
2o$45b2o$12bo13bo$9bo2bo11b3o27b2o$8bo14bo15b2o12bobo$8bobo12b2o15bo
14bo$8b2o27b3o11bo2bo$37bo13bo$17b2o$2b2o12bobo9b3o$3bo14bo8bo3bo$3o
11bo2bo8bo5bo21b3o$o13bo11bo5bo17b3o$26bo5bo16b3o$27bo3bo5bo$28b3o5bob
o$17b3o4b2o11b2o$13b3o6b3obobo$12b3o6bo4b2obo$20bob2obo3b3o$19bo2bo3b
3o3bo$19b2o2b3o3b3o$26bo2bo$25b2o!
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p38 honey farm hassler found by David Raucci (base reaction), Mitchell Riley (sparker), and wwei23 (combination) on April 21, 2023(click above to open LifeViewer ) RLE : here Plaintext : here
Carson Cheng found a 22-glider synthesis of 42P38 on April 26, 2023.[2] [3]
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 = 30, y = 25, rule = B3/S23
13bo$12bo2bo$12bo2bo2bo$14bo3bo6b2o$18bo5bo2bo$24bobo2bo$25bo$o25b2obo
$3o25bo$3bo14bo$2b2o14b2o$17b2o2$8b2o$7b2o14b2o$8bo14bo$24b3o$26bo3$8b
o$8bo3bo$8bo2bo2bo$11bo2bo$13bo!
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#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 THEME Book STARTFROM 76 ]]
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54P76 with mold (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 32, y = 25, rule = B3/S23
13bo$12bo2bo14b2o$12bo2bo2bo9bob2o$14bo3bo8bo$18bo11bo$26b2obo$26b2o$o
$3o$3bo14bo$2b2o14b2o$17b2o2$8b2o$7b2o14b2o$8bo14bo$24b3o$26bo3$8bo$8b
o3bo$8bo2bo2bo$11bo2bo$13bo!
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#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 THEME Book STARTFROM 152 ]]
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54P152 with figure eight (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 39, y = 25, rule = B3/S23
13bo$12bo2bo13b2o5b2o$12bo2bo2bo10b2o5b2o$14bo3bo$18bo2$28b3o5b3o$o27b
o2bo3bo2bo$3o26bo7bo$3bo14bo11bobobobo$2b2o14b2o$17b2o12b2ob2o2$8b2o$
7b2o14b2o5bo5bo$8bo14bo5b2o5b2o$24b3o$26bo3$8bo$8bo3bo$8bo2bo2bo$11bo
2bo$13bo!
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#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 THEME Book STARTFROM 266 ]]
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76P266 with 34P14 shuttle (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
x = 41, y = 29, rule = B3/S23
22b2o$22b2o$22b2o$22bo13bo2bo$13bo7bobo12bo$12bo2bo6bobob3o6bo4bo$12bo
2bo2bo4bob4o5bobo2b2o$14bo3bo5bo7b2obo$18bo$28bo$27bo4bo2bo$o27bo5b2o$
3o$3bo14bo9b2o$2b2o14b2o8b2o$17b2o2$8b2o$7b2o14b2o$8bo14bo$24b3o$26bo
3$8bo$8bo3bo$8bo2bo2bo$11bo2bo$13bo!
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#C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 THEME Book STARTFROM 342 ]]
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85P342 with p18 bi-block hassler (click above to open LifeViewer ) RLE : here Plaintext : here Catagolue : here
References
External links