Beluchenko's p13

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34P13
34P13 image
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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

34P13 (also called Beluchenko's p13) is an unnamed 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.

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

See also

References

  1. ↑ "New Oscillators at Game of Life News" (January 8, 2009). Retrieved on April 11, 2009.
  2. ↑ Jason Summers' all-osc oscillators collection
  3. ↑ "Class 2 Objects Catalog". Retrieved on April 11, 2009.
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