74P34

74P34
x = 27, y = 31, rule = B3/S23 15bo$13b3o$3b2o7bo$4bo7b2o$4bobo$5b2o2$2o$bo$bobo$2b2o$9b3o13b2o$8bo3b o12bo$8b2ob2o10bobo$23b2o2$2b2o$bobo10b2ob2o$bo12bo3bo$2o13b3o$23b2o$ 23bobo$25bo$25b2o2$20b2o$20bobo$13b2o7bo$14bo7b2o$11b3o$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 18 GPS 17 ]]
View static image
Pattern type	Oscillator
Number of cells	74
Bounding box	27 × 31
Period	34 (mod: 34)
Heat	37.9
Volatility	0.85 | 0.85
Kinetic symmetry	.c
Discovered by	Mitchell Riley
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 – B3/S2378 # of rules 22 = 4 Isotropic rules B3/S23 – B3/S234z5n6in78
Glider synthesis Fewest gliders 26† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext 74p34.cells RLE 74p34.rle
Identifiers apgcode xp34_x4s0gy1ca23z4s0g011zw11y0ca2acy6oge2zgs26y6ckgkczyj31e8zy7ggkcy131e8zy71

74P34 is a period-34 oscillator discovered by Mitchell Riley on July 6, 2022 using CatForce, and is the first non-trivial example of its period. It can also be made into a wick or beehive factory.

x = 103, y = 118, rule = B3/S23 12$60bo$58b3o$48b2o7bo$49bo7b2o$49bobo$50b2o2$45b2o$46bo$46bobo$47b2o$ 54b3o13b2o$53bo3bo12bo$53b2ob2o10bobo$68b2o2$47b2o$46bobo10b2ob2o$46bo 12bo3bo$45b2o13b3o$68b2o$68bobo$70bo$70b2o2$54b2o9b2o$55bo9bobo$55bobo 9bo$56b2o9b2o2$51b2o$52bo$52bobo$53b2o$60b3o13b2o$59bo3bo12bo$59b2ob2o 10bobo$74b2o2$53b2o$52bobo10b2ob2o$52bo12bo3bo$51b2o13b3o$74b2o$74bobo $76bo$76b2o2$60b2o9b2o$61bo9bobo$61bobo9bo$62b2o9b2o2$57b2o$58bo$58bob o$59b2o$66b3o13b2o$65bo3bo12bo$65b2ob2o10bobo$80b2o2$59b2o$58bobo10b2o b2o$58bo12bo3bo$57b2o13b3o$80b2o$80bobo$82bo$82b2o2$77b2o$77bobo$70b2o 7bo$71bo7b2o$68b3o$68bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 640 HEIGHT 640 THUMBSIZE 2 ZOOM 8 AUTOSTART GPS 34 ]]

p34 wick based on 74P34. (click above to open LifeViewer)

It can be made into a sparker by adding a block and beehive, which enables the construction of a period-34 bumper. This is the first independent reflector compatible with period-34 glider streams. It has the lowest possible repeat time of any bumper.

x = 73, y = 73, rule = B3/S23 14bo11bo$14b3o7b3o$17bo5bo$16b2o5b2o6bo$29b3o$28bo$28b2o$19b3o$18bo4bo b3o$17bo10bo32bo$12b2o4b2o8bo30b3o$3b2o6bo2bo5bo3bo3bo20b2o7bo$4bo6bo 3bo4bo2bob3o2b2o18bo7b2o$4bobo5b2ob2o3b2ob2o5bobo17bobo$5b2o2b3obo2bo 4bo3bo6bo18b2o$8bo3bo3bo5bo2bo6b2o21b3o$8bo8b2o4b2o15bo5b2o$8bo10bo7bo 10b3o6bo7bobo$9b3obo4bo7bobo8bo9bobo6bo3b3o$15b3o8bobo8b2o9b2o$7b2o18b o31bo11b2o$8bo24bo21b2o2bo11bo$5b3o24bobo16b2obobo2bo8b2obo$5bo6b2o5b 2o5b2o3bo2bo15bo3b2o4b2o4bo3bo$13bo5bo6b2o4b2o$10b3o7b3o25bo3bo4b2o4b 2o3bo$10bo5b2o4bo11b2o11bob2o8bo2bobob2o$17bo16bobo10bo11bo2b2o$17bob 2o2bo10bo11b2o11bo$18bo5bo44b2o$56b3o3bo6bobo$25bo35bobo7bo$20b2o26b2o 3b2o16b2o$15bo32b2o2bo2bo5b3o$13b3o6b3o28b2o11b2o$3b2o7bo16bo36bobo$4b o7b2o16bo28b2o7bo$4bobo21b3o18bo10bo7b2o$5b2o11b2o28bobo6b3o$9b3o5bo2b o2b2o23bo2bo5bo$2o16b2o3b2o24b2o$bo7bobo$bobo6bo3b3o$2b2o49b2o$13bo11b 2o11bo14bobo$9b2o2bo11bo10bobo16bo$5b2obobo2bo8b2obo11b2o11bo4b2o5bo$ 4bo3b2o4b2o4bo3bo25b3o7b3o$39b2o4b2o6bo5bo$2bo3bo4b2o4b2o3bo15bo2bo3b 2o5b2o5b2o6bo$bob2o8bo2bobob2o16bobo24b3o$bo11bo2b2o21bo24bo$2o11bo31b o18b2o$23b2o9b2o8bobo8b3o$10b3o3bo6bobo9bo8bobo7bo4bob3o$15bobo7bo6b3o 10bo7bo10bo$25b2o5bo15b2o4b2o8bo$15b3o21b2o6bo2bo5bo3bo3bo$20b2o18bo6b o3bo4bo2bob3o2b2o$20bobo17bobo5b2ob2o3b2ob2o5bobo$13b2o7bo18b2o2b3obo 2bo4bo3bo6bo$14bo7b2o20bo3bo3bo5bo2bo6b2o$11b3o30bo8b2o4b2o$11bo32bo 10bo$45b3obo4bo$51b3o$43b2o$44bo$41b3o$41bo6b2o5b2o$49bo5bo$46b3o7b3o$ 46bo11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 640 HEIGHT 640 THUMBSIZE 2 ZOOM 8 AUTOSTART GPS 34 ]]

p34 bumper by iNoMed and MAPbot (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

Carson Cheng found a 34-glider synthesis on the day of the oscillator's discovery. Chris857 found a 30-glider synthesis on July 7, 2023. On February 16, 2024, Chris857 lowered the cost to 26 gliders.

See also

• 120P34, the second known non-trivial p34 oscillator

External links

• 74P34 at Adam P. Goucher's Catagolue