50P9

50P9
x = 18, y = 8, rule = B3/S23 6b2o2b2o$5bo2b2o2bo$3bobob4obobo$b3obobo2bobob3o$o3b2ob4ob2o3bo$b2o3bo 4bo3b2o$3b2o2bo2bo2b2o$3bob2o4b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 3 ZOOM 20 LOOP 9 THUMBSIZE 2 ]]
View static image
Pattern type	Oscillator
Number of cells	50
Bounding box	18 × 10
Period	9 (mod: 9)
Heat	10.2
Volatility	0.47 | 0.47
Kinetic symmetry	-e
Discovered by	Matthias Merzenich
Year of discovery	2014
Rules Outer-totalistic rules B3/S23 – B38/S23678 # of rules 24 = 16 Isotropic rules B3-ckq/S2-en3-ei – B2in34ceq5cijn6-ik7c8/S1c234cektwy5-ijq678
Glider synthesis Fewest gliders 106† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext 50p9.cells RLE 50p9.rle
Identifiers apgcode xp9_8o6he8z342t54rozmp2dlh6zw343 Pentadecathlon ID 50P9.4

50P9 is a period-9 oscillator and domino sparker found by Matthias Merzenich in August 2014.

On November 15, 2020, Aleph discovered 104P9, a higher-clearance sparker which consists of a partial p9 oscillator supported by 50P9. Oscillators of periods 18, 27, and 63 that use 50P9 as a sparker are also known, and the period-117 glider gun and the former smallest period-36 glider gun use 50P9 as well.

On October 22, 2021, MathAndCode discovered that 50P9 can be phase shifted, producing an oscillator with period 9n-1.

x = 27, y = 35, rule = B3/S23 10bo7bo$8bo3bo3bo3bo$7bo4bo3bo4bo$13bobo$9b3obobob3o$4bo4bo3bobo3bo4bo $3bo9bobo9bo$6b2o5bobo5b2o$2bo3bo6bobo6bo3bo$6bo5bo3bo5bo$3b2o6bo5bo6b 2o$5b6o7b6o2$5b6o7b6o$3b2o6bo5bo6b2o$6bo5bo3bo5bo$2bo3bo6bobo6bo3bo$6b 2o5bobo5b2o$3bo9bobo9bo$4bo4bo3bobo3bo4bo$9b3obobob3o$13bobo$7bo4bo3bo 4bo$8bo3bo3bo3bo$10bo7bo$8b2o2$4b2o6b2o$7b4o$3bobo6bobo$b3obobo2bobob 3o$o3b2ob4ob2o3bo$b2o3bo4bo3b2o$3b2o2bo2bo2b2o$3bob2o4b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 3 LOOP 35 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 320 WIDTH 600 ]]

50P9 phase shifted by 120P7 to form a p35 oscillator. (click above to open LifeViewer) Catagolue: here

x = 36, y = 28, rule = B3/S23 25b2o$25bo2b2o$26b2ob3o$32bo$25bobob3o$17b2o3b2o3bobo$17b2o3bo$21bo4b o$26bo$19b2o3b2o$11bo5bo5bo$10bobo4bo4bo6b2o3bo$13bo3bo5bo5b2o2bobo$7b 2o4bo5b2o3b2o8bo$7bo5bo12bo$21bo3bo4b2o$8bo3bo2b2o5bo2bo4b2o$10bo4bo6b o$8b2o6b3o4b2o$18bo4b3o$4b2o6b2o$7b4o$3bobo6bobo$b3obobo2bobob3o$o3b2o b4ob2o3bo$b2o3bo4bo3b2o$3b2o2bo2bo2b2o$3bob2o4b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 5 LOOP 125 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 320 WIDTH 500 ]]

SKOP125, phase-shifted by p25 pi-heptomino hassler and respective long boat spin. Discovered by Period1GliderGun on January 14, 2025. (click above to open LifeViewer) Catagolue: here

On December 11, 2015, Bullet51 posted a starting point for a 50P9 glider synthesis. On June 17, 2016, Martin Grant reported a few oscillator syntheses, including one for 50P9 based on Bullet51's final step.

x = 42, y = 19, rule = B3/S23 32b2o2$28b2o6b2o$8b2o21b4o$24bo2bobo6bobo2bo$4b2o6b2o10b4obobo2bobob4o $7b4o17b2ob4ob2o$3bobo6bobo11bo3bo4bo3bo$b3obobo2bobob3o9b3o3b2o3b3o$o 3b2ob4ob2o3bo11b3o2b3o$b2o3bo4bo3b2o9b3o3b2o3b3o$3b2o2bo2bo2b2o11bo3bo 4bo3bo$3bob2o4b2obo13b2ob4ob2o$24b4obobo2bobob4o$24bo2bobo6bobo2bo$31b 4o$28b2o6b2o2$32b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 3 LOOP 9 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 320 WIDTH 600 ]]

50P9 and its double variant (click above to open LifeViewer) RLE: here Plaintext: here

External links

• 50P9.4 at Heinrich Koenig's Game of Life Object Catalogs

• 50P9 at Adam P. Goucher's Catagolue