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 ]]
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Pattern type Oscillator
Number of cells 305
Bounding box 59 × 59
Period 168 (mod: 42)
Heat 270.7
Volatility 0.91 | 0.61
Kinetic symmetry nrc
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
Catagolue: 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
Catagolue: here


On December 30, 2024, KtT found a 265-glider synthesis.[10][11] The next day, Chris857 lowered the cost to 235 gliders.[12][13]

See also

References

  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. ↑ Aleph (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
  10. ↑ KtT (December 30, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  11. ↑ shinjuku (#8741621325) (December 30, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  12. ↑ Chris857 (December 31, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  13. ↑ shinjuku (#8746090993) (December 31, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
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