Beluchenko's p37 (124P37) is a period-37oscillator consisting of 4 rockloaves and 8 blocks hassling 8 R-pentominoes. It was the first period 37 oscillator to be found, and was discovered by Nicolay Beluchenko on April 14, 2009.[1] It was the only known unique period 37 oscillator until the discovery of 132P37 in March 2010 and was one of only two known before the discovery of 58P37 in 2022. In terms of its 124 cells, it was also formerly the smallest known period 37 oscillator. Adam P. Goucher noticed that two of these oscillators could interact non-trivially by hassling a beehive and a block.
This oscillator first appeared on Catagolue in March 2015.[2]
About 1 in 7.6 billion eightfold symmetric soups with odd symmetry (D8_1) form a Beluchenko's p37. About 60% of them form as shown in the infobox, while almost all the rest form with ponds instead of loaves.
