Beluchenko's p13 is a period13 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 seminaturally in March 2016, in a symmetric soup submitted to Catagolue.^{[4]}
Image gallery
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
External links
 34P13.1 at Heinrich Koenig's Game of Life Object Catalogs