Beluchenko's p13

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]

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
Strict volatility 0.96
Discovered by Nicolay Beluchenko
Year of discovery 2009

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]

Two copies of this oscillator sharing a block
RLE: here
Two copies of this oscillator sharing two blocks
RLE: here
Two copies of this oscillator sharing a block
RLE: here
Four copies of this oscillator sharing four blocks
RLE: here
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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
  • 34P13.1 at Heinrich Koenig's Game of Life Object Catalogs
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