Pi splitter

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Revision as of 06:08, 23 November 2023 by Confocal (talk | contribs) (i think it has the same "instant appearance" repeat time, but sometimes it does not fit where the other works (for example https://conwaylife.com/forums/viewtopic.php?p=166167#p166167 contains both versions in one pattern))
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Pi splitter
x = 20, y = 14, rule = B3/S23 15bo$14bobo$14bobo$13b2ob2o$12bo2bo2bo$3o8bobobobobo$2bo9bobobobo$3o 11bobo$14bo2bo$15b2o3$14b2o$14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Constellation
Eater
Number of cells 31
Bounding box 9 × 14
Static symmetry Unspecified
Discovered by Codeholic
Year of discovery 2013

The pi splitter is a catalyst found by codeholic using Bellman in August 2013, transforming ("splitting") a pi-heptomino into two gliders.[1] It consists of a regenerative loop used to regenerate a tub motif. A glider synthesis for a reduced form of the catalyst was completed by Extrementhusiast later the same month.[2]

In May 2022, ljkiernan1 found a Spartan replacement consisting of two beehives and two tubs, using mvr's symmetric version of CatForce.[3]

The catalyst is widely used in glider guns[note 1] and other engineered patterns.

x = 14, y = 20, rule = B3/S23 5bo$4bobo$3bobo2bo$b3o2b2obo$o3b2o3bo2b2o$b3o2b3o3b2o$3bobo$4bobo$5bo 9$5b3o$5bobo$5bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 14 ]]
A reduced form[5]
(click above to open LifeViewer)
Catagoluehere
x = 21, y = 16, rule = B3/S23 bo17bo$obo15bobo$bo5b2o3b2o5bo$6bo2bobo2bo$7b2o3b2o9$9b3o$9bobo$9bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 14 ]]
A Spartan replacement with lower population and different clearance[3]
(click above to open LifeViewer)
Catagoluehere


Notes

  1. guntrue_62,[4] guntrue_65, guntrue_106, guntrue_159 as of November 23, 2023

References

  1. codeholic (August 7, 2023). Pi splitter (discussion thread) at the ConwayLife.com forums
  2. Extrementhusiast (August 14, 2023). Re: Pi splitter (discussion thread) at the ConwayLife.com forums
  3. 3.0 3.1 hotdogPi (August 14, 2023). Re: Catalyst Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. nokangaroo (September 28, 2022). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  5. Extrementhusiast (August 7, 2023). Re: Pi splitter (discussion thread) at the ConwayLife.com forums