p43 Snark loop

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p43 Snark loop
27b2o$27bobo$29bo4b2o$25b4ob2o2bo2bo$25bo2bo3bobob2o$28bobobobo$29b2ob obo$33bo2$19b2o$20bo8bo$20bobo5b2o$21b2o$35bo$36bo$34b3o2$25bo$25b2o$ 24bobo4b2o22bo$31bo21b3o$32b3o17bo$34bo17b2o2$45bo$46b2o12b2o$45b2o14b o$3b2o56bob2o$4bo9b2o37bo5b3o2bo$2bo10bobo37b2o3bo3b2o$2b5o8bo5b2o35b 2obo$7bo13bo22b2o15bo$4b3o12bobo21bobo12b3o$3bo15b2o22bo13bo$3bob2o35b 2o5bo8b5o$b2o3bo3b2o37bobo10bo$o2b3o5bo37b2o9bo$2obo56b2o$3bo14b2o$3b 2o12b2o$19bo2$11b2o17bo$12bo17b3o$9b3o21bo$9bo22b2o4bobo$38b2o$39bo2$ 28b3o$28bo$29bo$42b2o$35b2o5bobo$35bo8bo$44b2o2$31bo$30bobob2o$30bobob obo$27b2obobo3bo2bo$27bo2bo2b2ob4o$29b2o4bo$35bobo$36b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 GPS 10 LOOP 43 ZOOM 8 HEIGHT 600 WIDTH 600 POPUPHEIGHT 600 POPUPWIDTH 600 ]]
Pattern type Oscillator
Oscillator type Relay
Number of cells 228
Bounding box 65 × 65
Period 43 (mod: 43)
Heat 66.05
Volatility 0.81 | 0.81
Kinetic symmetry rc
Discovered by Mike Playle
Year of discovery 2013

The p43 Snark loop is a period-43 oscillator made from Snark reflectors. It is the smallest of an infinite family of Snark-based adjustable glider loops that can have any period from 43 up.

There are much smaller glider loops containing four gliders, with a total signal path length of 216+8n and therefore adjustable to any period of the form 54+2n. However, this is the smallest loop that can contain eight gliders, which is a requirement for universal adjustability.

A 226-glider synthesis of this oscillator was discovered by Jeremy Tan on June 9, 2019.[1] This was reduced to 196 gliders on October 16, 2020 by MathAndCode and GUYTU6J,[2] and then to 131 gliders in April 2021 by MathAndCode and Dave Greene.[3][4][5]

See also

References

  1. Jeremy Tan (June 9, 2019). p43 snark loop synthesis (discussion thread) at the ConwayLife.com forums
  2. GUYTU6J (October 16, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  3. MathAndCode (April 20, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  4. MathAndCode (April 20, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  5. MathAndCode (April 20, 2021). Message in #cgol on the Conwaylife Lounge Discord server

External links