p45 pi-heptomino hassler

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p45 pi-heptomino hassler
x = 16, y = 17, rule = B3/S23 10b2o$10b2o4$10bo$9b3o$8b2ob2o2$bo$obo$2o3$8bo4bo$6b2ob4ob2o$8bo4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 9 ZOOM 12 LOOP 45 ]]
Pattern type Oscillator
Number of cells 29
Bounding box 25 × 20
Period 45 (mod: 45)
Heat 41.6
Volatility 0.98 | 0.65
Kinetic symmetry Unspecified
Discovered by Luke Kiernan
Year of discovery 2022

p45 pi-heptomino hassler is a period-45 oscillator 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] Two copies of this oscillator can also interact to produce an oscillator with period 180+360n and a population of 63, as discovered by Jeremy Tan.[5]

Carson Cheng found a 10-glider synthesis of this oscillator on the day of its discovery.[6]

References

  1. Carson Cheng (August 9, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. dani (August 9, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. Luke Kiernan (August 9, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  4. bubblegum (August 9, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  5. Ian07 (August 9, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  6. Carson Cheng (August 9, 2022). Message in #cgol on the Conwaylife Lounge Discord server

External links