Pi orbital

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Pi orbital
x = 59, y = 59, rule = B3/S23 14b2o10b2o$13bo2bo8bo2bo$13b3o2b6o2b3o$16b2o6b2o$15bo10bo$15b2obo4bob 2o$20b2o$12bo25b2o10bo$7b4o3bo4bo6bo11b2o10bo$10bo3bo2b5o2bo3b4o18bo$ 14bo2b5o2bo3bo20b2o$11bo6b3o3bo22bo$12b2o5bo7bo18bo4bo$25b2o19bo9b2o$ 48b3o5bobo$53b2obobo$53bobobo$55bo$35b2o11bo5bo2bo$7b2o26bobo10b2o4bo$ 7b2o28b2o9bo5bo3bo$35bobo16bo3bo$20b2o13b2o17bo$23bobo28bo2bo$25bo21b 3o5bo$23bo21bo7bobobo$19bo25bo4bo2b2obobo$9bo10b2o24bo9bobo$9bo38b2o6b 2o$9bo39bo$b2o6b2o38bo$obo9bo36bo$obob2o2bo4bo$bobobo7bo$3bo5b3o$bo2bo $4bo$o3bo$o3bo5bo39b2o$4bo4b2o39b2o$bo2bo5bo$3bo$bobobo$obob2o$obo5b3o $b2o9bo19b2o$7bo4bo18bo7bo5b2o$11bo22bo3b3o6bo$8b2o20bo3bo2b5o2bo$8bo 18b4o3bo2b5o2bo3bo$8bo10b2o11bo6bo4bo3b4o$8bo10b2o25bo$37b2o$32b2obo4b ob2o$32bo10bo$33b2o6b2o$30b3o2b6o2b3o$30bo2bo8bo2bo$31b2o10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 14 ZOOM 8 WIDTH 600 HEIGHT 600 LOOP 168 ]]
Pattern type Oscillator
Number of cells 305
Bounding box 59 × 59
Period 168
Mod 42
Heat 270.7
Volatility 0.91
Strict volatility 0.61
Discovered by Noam Elkies
Year of discovery 1995

Pi orbital is a period-168 oscillator that was found by Noam Elkies on August 22, 1995.[1] It consists of four 42-generation 90-degree pi heptomino turns, each using a crown and a block. A second pi heptomino can be inserted to reduce the period to 84, but no further reduction (such as 168 / 3 = 56) works. The name of the oscillator is a reference to chemical bonds and atomic orbitals in chemistry.[2]

On March 26, 2009 Nicolay Beluchenko found a relatively small period-12 sparker, Eye of Sauron, that could replace the crown.[3] On April 6, 2010 Matthias Merzenich discovered that blocked p4-4 can also support the oscillator.[4] Currently, the exact pi-turning reaction has not been made into a stable conduit yet.[5]

If the block in a turn is removed, another block will be dropped nearby. A block pull can restore it, as is shown in the final step of a glider synthesis of the p12-supported variant by GUYTU6J in December 2020.[6] Meanwhile, that fact makes pi orbital a block factory suitable for stabilizing a honey farm-hassling wick at the same period.[7] Furthermore, sparking the active region before settling into the block creates a B-heptomino,[8] and welding a BFx59H to the blocked p4-4 to release a Herschel is possible.[9]

#N Alternate pi orbital #O Nicolay Beluchenko #C An alternate version of pi orbital using a period 12 sparker found #C by Nicolay Beluchenko #C https://www.conwaylife.com/wiki/index.php?title=Pi_orbital x = 63, y = 61, rule = b3/s23 20b2o41b$18b2o2bo40b$18b5o40b$22bo40b$15b2o2b4o40b$15b2obo4b4o36b$14bo bobob2obobobo35b$14bobobob2obobobo35b$15b4o4bob2o13b2o21b$19b4o2b2o13b 2o21b$19bo43b$19b5o39b$19bo2b2o39b$20b2o34bo6b$55bo2bo4b$55bo2bo4b$55b o2bo4b$53bo3bob3ob$53b4obo4b$37b2o12b2o4bo4bo$9b2o26bobo12bob2obob3ob$ 9b2o28b2o7b3obob2obo5b$37bobo7bo4bo4b2o4b$22b2o13b2o12bob4o6b$25bobo 20b3obo3bo6b$27bo23bo2bo8b$25bo25bo2bo8b$21bo29bo2bo8b$22b2o29bo9b4$9b o53b$8bo2bo51b$8bo2bo51b$8bo2bo51b$6bo3bob3o48b$6b4obo51b$4b2o4bo4bo 47b$5bob2obob3o37b2o9b$b3obob2obo41b2o9b$o4bo4b2o51b$4bob4o53b$b3obo3b o53b$4bo2bo55b$4bo2bo55b$4bo2bo55b$6bo34b2o20b$39b2o2bo19b$39b5o19b$ 43bo19b$21b2o13b2o2b4o19b$21b2o13b2obo4b4o15b$35bobobob2obobobo14b$35b obobob2obobobo14b$36b4o4bob2o15b$40b4o2b2o15b$40bo22b$40b5o18b$40bo2b 2o18b$41b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 600 HEIGHT 600 THUMBSIZE 2 ZOOM 8 ]]
An alternate version of pi orbital using Eye of Sauron
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 47, y = 47, rule = B3/S23 13b3o3b2o$19bobo10b2o$7b2o12bo10b2o$6bo2bo11bob2o$6b3o2b7obobob2o$9b2o 8bobo$8bo10bobo20b2o$8b2obo4bo3bo21bobo$13bo25b2obobo$39bobobo$41bo$ 40bo2bo$40bo$b2o11bo25bo5bo$b2o10bobo24bo5bo$12bo3bo23bo5bo$12bo3bo24b obo$12b2ob2o24bobo$41bo$40b2o3b2o$39bo3bo2bo$40b6o$3b2o$3b2o37b2o$42b 2o$b6o$o2bo3bo$2o3b2o$5bo$3bobo24b2ob2o$3bobo24bo3bo$o5bo23bo3bo$o5bo 24bobo10b2o$o5bo25bo11b2o$6bo$3bo2bo$5bo$3bobobo$2bobob2o25bo$2bobo21b o3bo4bob2o$3b2o20bobo10bo$25bobo8b2o$22b2obobob7o2b3o$22b2obo11bo2bo$ 13b2o10bo12b2o$13b2o10bobo$26b2o3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 600 HEIGHT 600 THUMBSIZE 2 ZOOM 8 ]]
Alternate form by Matthias Merzenich. The form with the lowest minimum population; with one pi-heptomino, it has 197 cells
(click above to open LifeViewer)
RLE: here Plaintext: here

See also


  1. Jason Summers' jslife pattern collection. Retrieved on March 14, 2020.
  2. Pi bond, Atomic orbital on Wikipedia
  3. New Oscillators at Game of Life News. Posted by Heinrich Koenig on April 14, 2009.
  4. A plethora of p4 hasslers at Game of Life News. Posted by Adam P. Goucher on January 3, 2011.
  5. Dave Greene (April 10, 2017). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
  6. GUYTU6J (December 27, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  7. Matthias Merzenich (July 7, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  8. wwei23 (December 12, 2020). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  9. Adam P. Goucher (December 15, 2020). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums

External links