Coe's p8

From LifeWiki
Jump to navigation Jump to search
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 | 0.90
Kinetic symmetry n.k
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 ]]
(click above to open LifeViewer)

It can also share blocks with a blocker:

x = 38, y = 12, rule = B3/S23 16bobo5bobo$15bo7bo$7bob3o2bo4bo2bo4bo$7b5obo2bob2obo2bob2o$7b2o5b2o6b 2o$4bo2bo25bob3o$2o3b2o26b5o$2o3bo18bobo6b2o$15bo7bo6bo2bo$10b3ob2o2b 2o2bo4bo3b2o$10b4o4b2obo2bob2o3bo$14b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 4 ZOOM 14 HEIGHT 400 THUMBLAUNCH THUMBSIZE 2 LOOP 8 ]]
Blockers sharing blocks with a Coe's p8
(click above to open LifeViewer)
RLE: here Plaintext: here

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 ]]
(click above to open LifeViewer)
Catagolue: here

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