p46-based PRNG

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p46-based PRNG
x = 156, y = 75, rule = B3/S23 146b2o5b2o$146b2o5b2o8$147bo5bo$146b3o3b3o$145b2obo3bob2o3$148bo3bo$ 148bo3bo5$147bo$146bobo$33bo111b2ob2o$32b2o8b2o101bo3bo$18b2o11b3obo5b o2bo99b3ob3o$18b2o10b2o8b2ob3o99bo3bo$31b2o8b2obo100bo3bo$32bo10bo102b obo4b2o$147bo5b2o$32bo$31b2o$18b2o10b2o13b2o30b2o$18b2o11b3obo9b2o30b 2o$b2o29b2o$b2o30bo3$41bo2bo$19b4o22bo19b4o$18bo3bo18bo3bo18bo3bo58b2o $22bo19b4o22bo59b2o$18bo2bo42bo2bo59bo24b2o$b3o3b3o142bobo$o2bo3bo2bo 143bo$2obo3bob2o69bo73b2o$57bo5bo5b2o8b2o15b2o$21b2o19bob2o11bo5bo5b2o 7b2o16b2o$20b2o14b2o3bo2b2o2b3o28b2o2b2o$22bo13b2o3bo6b2o3b2o11b2o$41b 2o3b3o$43bo3bo9bo5bo52bo$57bo5bo15b2o2b2o31b2o$43bo3bo21b2o7b2o16b2o 17bobo$41b2o3b3o20b2o8b2o15b2o$36b2o3bo6b2o13b2o15bo$36b2o3bo2b2o2b3o 12b2o$42bob2o$33bo$32b2o58b2o$32bobo17bo38bo$b2o5b2o41b2o25b2o10bo2b2o $b2o5b2o40b3obo9b2o12b2o10bo2bo18bo$30b2o17b2o13b2o24bobo11b2o4bo2bo$ 32bo17b2o39b2o12b2o3b5o10b2o$17b2o10b2o2bo17bo52bo5b3ob2o9b2o$17b2o11b o2bo57b2o18b2obo$31bobo17bo38bobo19b2o$31b2o17b2o26b2o10bo2bo$49b2o13b 2o12b2o10bo2b2o17b2o$31b2o17b3obo9b2o25bo19b2obo$31bobo17b2o39b2o16b3o b2o9b2o$17b2o11bo2bo18bo57b5o10b2o$17b2o10b2o2bo76bo2bo$32bo79bo$30b2o ! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 40894 GPS 60 THUMBSIZE 2 ZOOM 4 HEIGHT 320 WIDTH 640 ]]
Pattern type Oscillator
Number of cells 419
Bounding box 158 × 75
Period 40894
Mod 40894
Heat 359.5
Volatility 0.99
Strict volatility 0.27
Discovered by Bill Gosper
Dean Hickerson
Year of discovery 1995

p46-based PRNG (pseudo-random number generator) is a period-40894 oscillator first found by Bill Gosper and later rediscovered by Dean Hickerson on January 10, 1995,[1] notable due to its high period and being last position in Dean Hickerson's oscillator stamp collection.

The pattern produces a sequence of bits b[n] represented by LWSSes, satisfying the recurrence b[n] = b[n-1] EQV b[n-k], k = 10. More generally, the bottom-right gun and the reflector at the right edge can be moved 46 m cells to the right, with k = 10 + 4m (m ≥ 0).

See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on 13 November 2020.

External links