Coe's p8

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Coe's p8
2o10b$2o2b2o6b$5b2o5b$4bo2bo4b$7bo2b2o$5bobo2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 4 THUMBSIZE 2 ]]
Pattern type Oscillator
Number of cells 17
Bounding box 12 × 8
Frequency class 32.1
Period 8
Mod 4
Heat 12.5
Volatility 0.90
Strict volatility 0.90
Discovered by Tim Coe
Year of discovery 1997

Coe's p8 is a period-8 oscillator that was found by Tim Coe on August 19, 1997.[1] It consists of two blocks hassling an unnamed object, similar to blocker. The unnamed object is a beehive predecessor that looks like two linked gliders.[note 1] In terms of its 17 cells, it is tied with smiley as third-smallest known period-8 oscillator.

The grin spark created by the block eating can support the bumper, but the blocker would be smaller for that purpose. It can also restore a nearby block that has been converted to a beehive, making Coe's p8 useful for devices like p8 glider reflector and HRx74B[2].

x = 14, y = 7, rule = B3/S23 11b2o$2o8bo2bo$2o2b2o5b2o$5b2o$4bo2bo$7bo2b2o$5bobo2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ZOOM 14 AUTOSTART T 0 PAUSE 2 T 8 PAUSE 2 LOOP 9 ]]
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Occurrence

See also: List of common oscillators

Coe's p8 is about the forty-seventh most common naturally-occurring oscillator in Achim Flammenkamp's census.[3] On Catagolue, it is the third most common period 8 oscillator, being less common than the blocker but more common than smiley.[4]

The first natural Coe's p8 stator variant, Coe's p8 on table, occurred in June 2020.[5]

Glider synthesis

In August, 2004 Mark Niemiec found a 16-glider synthesis of this oscillator.[6] In October, 2010 Martin Grant and Matthias Merzenich found an 8-glider synthesis, based on a predecessor discovered by Lewis Patterson.[7] The best known synthesis uses 5 gliders and was found by gmc_nxtman and Mark Niemiec on July 8, 2017.[8]

In other rules

In rules without the B3q transition, the blocks may be displaced by (2,1), to act as induction coils. While the standard Coe's p8 works in 256 isotropic non-totalistic rules, this variant works in 259.

x = 10, y = 10, rule = B3-q/S23 2o$2o2$3b2o$4b2o$3bo2bo$6bo$4bobo$8b2o$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 4 THUMBSIZE 3 WIDTH 560 HEIGHT 560 ZOOM 48 ]]
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Catagoluehere

See also

Notes

  1. The unnamed object can also be supported by corner dot sparkers, like mold and Kok's galaxy, to give a mostly same period-8 oscillator. On May 20, 2022, Charity Engine found a further variant supported by figure eight in a diagonally symmetric soup.

References

  1. Jason Summers' all-osc pattern collection.
  2. Tanner Jacobi (October 14, 2022). Re: Thread for your speculative elementary conduits (discussion thread) at the ConwayLife.com forums
  3. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  4. Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  5. Ian07 (June 10, 2020). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  6. Jason Summers' jslife pattern collection.
  7. Matthias Merzenich (October 2, 2010). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
  8. Mark Niemiec (March 3, 2019). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums

External links