p58 toadsucker

P58 toadsucker is a period-58 toadsucker oscillator found by Bill Gosper and Mark Niemiec on October 25, 1994,[1] being the first period 58 oscillator to be found. It is based on a period 29 domino sparker that changes the phase of a pentadecathlon, and works by shifting a toad back and forth every 58 generations. This was the only known way to create period 58 oscillators until the discovery of Herschel loops and an eater that allowed sufficient compression. In terms of its 258 cells it was the smallest known period 58 oscillator before discovery of the Snark and p29 bouncer. P58 toad flippers are also possible, also at 258 cells as shown below:

<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 64, y = 60, rule = B3/S23 15bo32bo$13b3o32b3o$12bo38bo$12b2o36b2o2$bo60bo$obo4bo48bo4bobo$bo5b2o 6b2o30b2o6b2o5bo$7bo7b2o30b2o7bo4$7bo48bo$bo5b2o10b2o22b2o10b2o5bo$obo 4bo11b2o5b2o8b2o5b2o11bo4bobo$bo24bo10bo24bo$24bobo10bobo$24b2o12b2o2$ 14bo34bo$13b3o32b3o$20bo5bo2bob2obo2bo5bo$19b3o3b2o2bo4bo2b2o3b3o$26bo 2bob2obo2bo2$13bo36bo$12bobo34bobo$13bo5b2o22b2o5bo$19b2o11bo10b2o$31b o2bo$31bo2bo$19b2o12bo9b2o$13bo5b2o22b2o5bo$12bobo34bobo$13bo36bo2$26b o2bob2obo2bo$19b3o3b2o2bo4bo2b2o3b3o$20bo5bo2bob2obo2bo5bo$13b3o32b3o$ 14bo34bo2$24b2o12b2o$24bobo10bobo$bo24bo10bo24bo$obo4bo11b2o5b2o8b2o5b 2o11bo4bobo$bo5b2o10b2o22b2o10b2o5bo$7bo48bo4$7bo7b2o30b2o7bo$bo5b2o6b 2o30b2o6b2o5bo$obo4bo48bo4bobo$bo60bo2$12b2o36b2o$12bo38bo$13b3o32b3o$ 15bo32bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 6 WIDTH 600 HEIGHT 480 GPS 7.25 LOOP 58 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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p58 toadsucker
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 67, y = 56, rule = B3/S23 15bo32bo$13b3o32b3o$12bo38bo$12b2o36b2o2$bo60bo$obo4bo48bo4bobo$bo5b2o 6b2o30b2o6b2o5bo$7bo7b2o30b2o7bo3$19b2o22b2o$7bo11b2o5b2o8b2o5b2o11bo$ bo5b2o17bo10bo17b2o5bo$obo4bo16bobo10bobo16bo4bobo$bo22b2o12b2o22bo4$ 14bo5bo5bo2bob2obo2bo5bo5bo$13b3o3b3o3b2o2bo4bo2b2o3b3o3b3o$26bo2bob2o bo2bo4$13bo7bo20bo7bo$12bobo5bobo10bo7bobo5bobo$13bo7bo10bo2bo6bo7bo$ 16bo7bo7bo2bo9bo7bo$15bobo5bobo8bo9bobo5bobo$16bo7bo20bo7bo4$29bo2bob 2obo2bo$16b3o3b3o3b2o2bo4bo2b2o3b3o3b3o$17bo5bo5bo2bob2obo2bo5bo5bo4$ 4bo22b2o12b2o22bo$3bobo4bo16bobo10bobo16bo4bobo$4bo5b2o17bo10bo17b2o5b o$10bo11b2o5b2o8b2o5b2o11bo$22b2o22b2o3$10bo7b2o30b2o7bo$4bo5b2o6b2o 30b2o6b2o5bo$3bobo4bo48bo4bobo$4bo60bo2$15b2o36b2o$15bo38bo$16b3o32b3o $18bo32bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] <nowiki>#C [[ GPS 8 ZOOM 5 LOOP 58 ]]</nowiki> <html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> <html></noscript></canvas></div></html>
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Pattern type Oscillator
Number of cells 258
Bounding box 67×56
Period 58
Mod 58
Heat 220.1
Volatility 0.91
Strict volatility 0.01
Discovered by Bill Gosper
Mark Niemiec
Year of discovery 1994

See also

References
  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
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