p45 pi-heptomino hassler is a period-45oscillator found by Luke Kiernan on August 9, 2022.[1] Although other pi-heptomino hasslers with this period have been found previously, this one is by far the smallest, with only 29 cells in its minimum phase. It is also the smallest p45 oscillator overall, surpassing the 48-cell pentadecathlon on thumb 1.
Being a versatile sparker, the oscillator can be turned into a glider gun in several different ways.[2] The smallest of these has a bounding box of 42×25,[3] making it the smallest known gun with this period. The oscillator can also function as a filter for a period-30 glider stream, resulting in a p90 gun.[4] The oscillator can also reflect gliders 180 degrees, and so two copies can be used to produce an oscillator with period 180+360n and a population of 63, as discovered by Jeremy Tan.[5]
