258P3 on Achim's p11

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258P3 on Achim's p11
#N 258P3 on Achim's p11 #O Noam Elkies and Achim Flammenkamp #C The first known non-trivial period 33 oscillator x = 49, y = 31, rule = B3/S23 10b2o37b$10b2o37b$5bo10bo32b$4bobo8bobo10b2obobo4bo10b$3bobo3bo2bo3bob o8bobob2obo2bobo3b2o4b$2bobo4bo2bo4bobo5b3o2bo3b4obo3b2o4b$3bo5bo2bo5b o5bo3bobob2o4bo10b$25bo2bo2bobob2o4b4o2b2o$25bob2obo2bo2b2o2bo4bo2bo$ 4b3o8b3o10bo3bobo4bobo2bob2ob$2o18b2o2b2o2bo3bo2b3o3b4o4b$2o18b2o6b2o 2bobo7b2o2b2ob$4b3o8b3o6bo2bobo4b2obo2b4obo2bo$25b2obo6bo4bo6b2o$24bob ob2o3b6obo8b$3bo5bo2bo5bo5b2obobo2b2o2bobob2ob2o4b$2bobo4bo2bo4bobo4bo 2bobobo4bobo5bo4b$3bobo3bo2bo3bobo5bo2bobobo4bobo5bo4b$4bobo8bobo6b2ob obo2b2o2bobob2ob2o4b$5bo10bo7bobob2o3b6obo8b$10b2o13b2obo6bo4bo6b2o$ 10b2o12bo2bobo4b2obo2b4obo2bo$28b2o2bobo7b2o2b2ob$24b2o2bo3bo2b3o3b4o 4b$28bo3bobo4bobo2bob2ob$25bob2obo2bo2b2o2bo4bo2bo$25bo2bo2bobob2o4b4o 2b2o$24bo3bobob2o4bo10b$25b3o2bo3b4obo3b2o4b$27bobob2obo2bobo3b2o4b$ 28b2obobo4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 3 LOOP 33 THUMBSIZE 2 ZOOM 8 ]]
Pattern type Oscillator
Number of cells 330
Bounding box 49×31
Period 33
Mod 33
Heat 199.1
Volatility 0.69
Strict volatility 0.002
Discovered by Noam Elkies
Year of discovery 1997

258P3 on Achim's p11 is a period 33 oscillator composed of 258P3 and Achim's p11. Although it is composed of two oscillators of smaller periods (3 and 11 respectively), it is considered non-trivial because it contains a single cell that is alive in generation 21 and dead in the other 32 phases of the oscillator. It was discovered by Noam Elkies on June 25, 1997 and was the first period 33 oscillator to be found.[1]

Image gallery

Generation 21 reveals the single cell that oscillates at the full period (in green).

See also

References

External links