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) is allowed to work. Its name could be a reference to the pi orbital in chemistry.

On March 26, 2009 Nicolay Beluchenko found a relatively small period-12 sparker, 44P12.3, that could replace the crown.[2] On April 6, 2010 Matthias Merzenich discovered the blocked p4-4 that also supports the oscillator.[3] Currently, the exact pi-turning reaction has not been made into a stable conduit yet.[4]

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.[5] Meanwhile, the fact makes pi orbital a block factory suitable for stabilizing a honey farm-hassling wick at the same period.[6] Furthermore, sparking the active region before settling into the block creates a B-heptomino,[7] and welding a BFx59H to the blocked p4-4 to release a Herschel is possible.[8]

Image gallery

An alternate version of pi orbital using 44P12.3
RLE: here
Alternate form by Matthias Merzenich

See also


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

External links