p156 Hans Leo hassler

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p156 Hans Leo hassler
x = 33, y = 40, rule = B3/S23 15b2o4b2o4b2o$14bo2bobo4bobo2bo$14b3o10b3o$17b2o6b2o$16bo2b6o2bo$16b2o 8b2o2$13bo$8b4o3bo11bo$11bo3bo4bo4bo3b4o$15bo3b3o3bo3bo$12bo12bo$13b2o 13bo$26b2o2$30b2o$30bo$28bobo$28b2o$13b3o$13bobo$3b2o8b3o$2bobo$2bo$b 2o2$5b2o$4bo7bo5b2o$7bo3b3o6bo$3bo3bo2b5o2bo$4o3bo2b5o2bo3bo$5bo6bo4bo 3b4o$19bo$10b2o$5b2obo4bob2o$5bo10bo$6b2o6b2o$3b3o2b6o2b3o$3bo2bo8bo2b o$4b2o10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 13 LOOP 156 ZOOM 8 HEIGHT 500 ]]
Pattern type Oscillator
Number of cells 157
Bounding box 33 × 40
Period 156 (mod: 78)
Heat 130.3
Volatility 0.84 | 0.39
Kinetic symmetry n.e
Discovered by Noam Elkies
Year of discovery 1995

P156 Hans Leo hassler[note 1] is a period-156 traffic light hassler discovered by Noam Elkies on January 4, 1995.[1] It features two crowns turning a traffic light into a B-heptomino, and two eater 1s that then turn the B-heptomino back into a traffic light.

Elkies also found that the oscillator has several simple variants with an alternative phase of one of the crowns, leading to a period 144 version. It can even be made to be period 96 with figure eights, or period 132 with two copies of unix.

On November 10, 2019, Entity Valkyrie found a period 288 version of this oscillator.[2]

Gallery

x = 43, y = 33, rule = B3/S23 12b2o$12b2obo15bo$16bo13bobo$8bo4bo11bo$7bobo4bob2o5b3o4bo7b2o$16b2o4b o7b2o6bobo$9bo12b2o3b5o3b2obobo$8b2o17b2ob2o3bobobo$8b5o17bo6bo$b2o5b 2ob2o22bo2bo$obo6bo28bo$obob2o28bo3bo$bobobo12b3o8bobo2bo3bo$3bo14bobo 8bo2bo5bo$2bo2bo3bobo6b3o8bobo3bo2bo$2bo5bo2bo25bo$2bo3bo2bobo23bobobo $2bo3bo28b2obobo$2bo28bo6bobo$2bo2bo22b2ob2o5b2o$3bo6bo17b5o$bobobo3b 2ob2o17b2o$obob2o3b5o3b2o12bo$obo6b2o7bo4b2o$b2o7bo4b3o5b2obo4bobo$15b o11bo4bo$8bobo13bo$9bo15bob2o$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 AUTOSTART GPS 13 ]]
A period 96 version of the Hans Leo hassler
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RLE: here Plaintext: here
Catagoluehere
#N P132 Hans Leo hassler #O Noam Elkies #C A period 132 version of the Hans Leo hassler oscillator. #C www.conwaylife.com/wiki/P156_Hans_Leo_hassler x = 40, y = 39, rule = b3/s23 12b2o26b$12b2o26b2$30bo9b$11b3o16bo9b$11b2obo2b2o11bo9b$13b2o2b2o10b2o 6b2ob$13b2o12bo9bobo$26bo4bo2b2obobo$26bo7bobobob$28b3o5bo3b$8bo26bo2b ob$8bo26bo4b$8bo26bo3bo$8b2o19bo5bo3bo$11bo17b2o4bo4b$7bo4bo6b3o7bo5bo 2bob$b2o9bo6bobo14bo3b$obo5b3o8b3o12bobobob$obob2o28b2obobo$bobobo23b 3o5bobo$3bo5b2o16bo9b2ob$2bo2bo3b3o15bo4bo7b$2bo5b5o15bo11b$2bo3bo2b3o 18b2o8b$2bo3bo2b2o20bo8b$2bo28bo8b$2bo2bo25bo8b$3bo5b3o28b$bobobo7bo 26b$obob2o2bo4bo26b$obo9bo12b2o13b$b2o6b2o10b2o2b2o13b$9bo11b2o2bob2o 11b$9bo16b3o11b$9bo30b2$26b2o12b$26b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 AUTOSTART GPS 13 ZOOM 8 ]]
A period 132 version of the Hans Leo hassler
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
#N P144 Hans Leo hassler #O Noam Elkies #C A period 144 version of the Hans Leo hassler oscillator. #C www.conwaylife.com/wiki/P156_Hans_Leo_hassler x = 33, y = 40, rule = b3/s23 15b2o4b2o4b2o4b$14bo2bobo4bobo2bo3b$14b3o10b3o3b$17b2o6b2o6b$16bo2b6o 2bo5b$16b2o8b2o5b2$13bo19b$8b4o3bo11bo5b$11bo3bo4bo4bo3b4o$15bo3b3o3bo 3bo3b$12bo12bo7b$13b2o13bo4b$26b2o5b2$30b2ob$30bo2b$28bobo2b$17b3o8b2o 3b$17bobo13b$17b3o13b$3b2o28b$2bobo28b$2bo30b$b2o30b2$5b2o26b$4bo13b2o 13b$7bo12bo12b$3bo3bo3b3o3bo15b$4o3bo4bo4bo3bo11b$5bo11bo3b4o8b$19bo 13b2$5b2o8b2o16b$5bo2b6o2bo16b$6b2o6b2o17b$3b3o10b3o14b$3bo2bobo4bobo 2bo14b$4b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 AUTOSTART GPS 13 ZOOM 8 ]]
A period 144 version of the Hans Leo hassler
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RLE: here Plaintext: here
Catagoluehere
x = 40, y = 36, rule = B3/S23 12b2o$12b2o2$30bo$11b3o16bo$11b2obo2b2o11bo$13b2o2b2o10b2o6b2o$13b2o12b o9bobo$26bo4bo2b2obobo$26bo7bobobo$28b3o5bo$8bo25bo2bo$8bo28bo$8bo20b 2o2bo3bo$8b2o18b3o2bo3bo$11bo15b5o5bo$7bo4bo15b3o3bo2bo$b2o9bo16b2o5b o$obo5b3o23bobobo$obob2o28b2obobo$bobobo12b3o8b3o5bobo$3bo5b2o7bobo6b o9b2o$2bo2bo3b3o6b3o6bo4bo$2bo5b5o15bo$2bo3bo2b3o18b2o$2bo3bo2b2o20bo $2bo28bo$2bo2bo25bo$3bo5b3o$bobobo7bo$obob2o2bo4bo$obo9bo4b2o$b2o6b2o 7bo$9bo5b3o$9bo5bo$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 AUTOSTART GPS 13 ZOOM 8 ]]
Another period-144 variant, which is a hybrid between the p132 and the p156 variant
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RLE: here Plaintext: here
Catagoluehere
x = 34, y = 100, rule = B3/S23 5b2o10b2o$5bo12bo$7bo8bo$3b5o2bo2bo2b5o$2bo7b4o7bo$2b7o6b7o$3bo4b8o4b o$3bo3bo2bo2bo2bo3bo$4bo2bo8bo2bo$6bo10bo$6b2o8b2o$6bobo6bobo$10b4o$7b ob6obo$8b8o3$19b2o$6bo5bo8bo$b4o3bo4bo4bo$4bo3bo4bo4bo3bo$8bo3bobo3bo 3b4o$5bo7bo6bo$6b2o5bo$26b2o$17b2o7b2o$17b2o3$26bo$25bobo$25bobo$26bo 2$5b2o$5b2o12$30b2o$9b2o19bobo$2o7b2o21bo$bo21b2o7b2o$bobo19b2o$2b2o12$ 27b2o$27b2o2$7bo$6bobo12b3o$6bobo12bobo$7bo13b3o3$15b2o$6b2o7b2o$6b2o $26b2o$9bo9b3o4b2o$8bo3b3o12bo$9bob5o3bobo3b5obo$13bo6bo5b3o3bo$13b2o 16bo$13b2o6b2o$19bo4bo3$17b10o$17b2o6b2o$16b2o8b2o$16bo10bo2$14b3o10b 3o$14b4o2bo2bo2b4o$13bo6b4o6bo$13b6o6b6o$12bo5b8o5bo$13b5o2bo2bo2b5o$ 17bo8bo$15bo12bo$15b2o10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 AUTOSTART GPS 13 ZOOM 4 ]]
A period-288 variant found by Entity Valkyrie
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Catagoluehere

See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on April 16, 2020.
  2. Entity Valkyrie (November 10, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

Notes

  1. The name is a reference to Hans Leo Hassler, a famous German composer.

External links