Beluchenko's p13

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Beluchenko's p13
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Pattern type Oscillator
Number of cells 34
Bounding box 17 × 17
Period 13 (mod: 13)
Heat 30.2
Volatility 0.96 | 0.96
Kinetic symmetry Unspecified
Discovered by Nicolay Beluchenko
Year of discovery 2009

Beluchenko's p13 is a period-13 oscillator found by Nicolay Beluchenko[1] on January 4, 2009.[2] In terms of its 34 cells, it is the smallest known period 13 oscillator.[3]

It can be combined with itself and with other oscillators to produce larger oscillators with periods that are multiples of 13. There are three ways in which two of these can share a common block, all of which are shown below. Jason Summers also discovered that four of these oscillators can be combined to create a pure rotor oscillator (i.e., where none of the cells are alive in all phases), making it the first such oscillator known with a prime period greater than two.

Beluchenko's p13 first appeared semi-naturally in March 2016, in a symmetric soup submitted to Catagolue.[4]

x = 17, y = 31, rule = 23/3 4b3o10b2$6bo10b$6b2o9b$5bo11b$8bo8b$4bo3bo8b$9b2o6b$2o2b3o5bo4b$2o5bo 4b2obob$7bo3bo3bob$7bobo5bob3$6b2o9b$6b2o9b2$9bo2bo4b$8bo6bob$8bo7bo$ 2o6bo3b2obob$2o7b3o5b$4b3o10b$3bo3bo9b$7bo9b$7bo9b$3bo2bo10b$6bo10b2$ 4bobo10b$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
Two copies of this oscillator sharing a block

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RLE: here Plaintext: here
x = 25, y = 25, rule = 23/3 9b3o13b2$9bo15b$8b2o15b$10bo14b$7bo17b$7bo3bo13b$5b2o18b$3bo5b3o2b2o9b $ob2o4bo5b2o9b$o3bo3bo16b$o5bobo8bo2bo4b$16bo6bob$16bo7bo$8b2o6bo3b2ob ob$8b2o7b3o5b$12b3o10b$11bo3bo9b$15bo9b$15bo9b$11bo2bo10b$14bo10b2$12b obo10b$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
Two copies of this oscillator sharing two blocks

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RLE: here Plaintext: here
x = 19, y = 31, rule = 23/3 7b3o9b2$9bo9b$9b2o8b$8bo10b$11bo7b$7bo3bo7b$12b2o5b$3b2o2b3o5bo3b$3b2o 5bo4b2obo$10bo3bo3bo$10bobo5bo3$9b2o8b$9b2o8b2$4bo2bo11b$bo6bo10b$o7bo 10b$bob2o3bo6b2o2b$5b3o7b2o2b$10b3o6b$9bo3bo5b$9bo9b$9bo9b$10bo2bo5b$ 10bo8b2$10bobo6b$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
Two copies of this oscillator sharing a block

(click above to open LifeViewer)
RLE: here Plaintext: here
x = 36, y = 36, rule = 23/3 2$13bo8bo$12bobo7bo$22bo$12bo$12bo2bo7b2o$11bo11b2o$11bo11b3o$11bo3bo5b2obo$ 12b3o6b3o3bo$7b3o7b2o3bo3b4o$3bob2o3bo6b2o6bob3o$2bo7bo13b3o4b3o$3bo6bo14b2o$ 6bo2bo2$11b2o10b2o$11b2o10b2o2$26bo2bo$9b2o14bo6bo$2b3o4b3o13bo7bo$ 6b3obo6b2o6bo3b2obo$6b4o3bo3b2o7b3o$8bo3b3o6b3o$11bob2o5bo3bo$10b3o11bo$ 11b2o11bo$11b2o7bo2bo$23bo$13bo$13bo7bobo$13bo8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
Four copies of this oscillator sharing four blocks

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RLE: here Plaintext: here

See also

References

  1. ↑ "New Oscillators at Game of Life News" (January 8, 2009). Retrieved on April 11, 2009.
  2. ↑ Jason Summers' all-osc pattern collection. Retrieved on June 28, 2009.
  3. ↑ "Class 2 Objects Catalog". Retrieved on April 11, 2009.
  4. ↑ Aidan F. Pierce (March 31, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
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