Pi orbital

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 4 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
Strict volatility	0.61
Discovered by	Noam Elkies
Year of discovery	1995
Rules Outer-totalistic rules B3/S23 only Important rules Conway Life # of rules 20 = 1 Isotropic rules B3/S23 – B3/S236ei
Pattern files Plaintext piorbital.cells RLE piorbital.rle
Identifiers apgcode xp168_y965la8ceeeec8al56zy3888o040o11wo4xg190ggggy2ccy6szy72441x161x38841ydc2ghh4y0o8gzy3ggywo0cgy0jpu121zy311yw10jggx7fvzy5syv3408o2w321e96z697o4cw4hhg2cyv3zxvvuy0gc0oyh27dod72y4oozo4o79cwggg301z011y02o8043yagggo211sx8m8xo224gzy43y633y7p8y021w8o10201111zyq6aa5137777315aa6

Pi orbital is a period-168 oscillator that was found by Noam Elkies on August 22, 1995. It works by using four crowns and four blocks to turn a pi heptomino ninety degrees every 42 generations. A second pi heptomino can be inserted to reduce the period to 84. On March 26, 2009 Nicolay Beluchenko found a relatively small period 12 sparker that could replace the crowns. On April 6, 2010 Matthias Merzenich discovered the Blocked p4-4 period 4 oscillator that also supports the oscillator.

In December 2020, GUYTU6J posted the final step of a synthesis of this oscillator, specifically the p12-supported variant.

Image gallery

An alternate version of pi orbital using Nicolay Beluchenko's period 12 oscillator RLE: here

Alternate form by Matthias Merzenich

See also

• Crown
• Gourmet
• Popover
• Pi portraitor

External links

• Pi orbital at the Life Lexicon

• Pi orbital at Adam P. Goucher's Catagolue (extended)