Difference between revisions of "Pi orbital"

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{{Oscillator|name=Pi orbital|pname=piorbital|bx=59|by=59|h=270.7|p=168|c=305|discoverer=Noam Elkies|discoveryear=1995|life105=true|life106=true|plaintext=true|rle=true|animated=true|v=0.91|rulespecial=[[Conway's Game of Life|Conway Life]]|rulemin=B3/S23|rulemax=B3/S23}}
{{Oscillator
'''Pi orbital''' is a [[period]] [[:Category:Oscillators with period 168|168]] [[oscillator]] that was found by [[:Category:Patterns found by Noam Elkies|Noam Elkies]] in August [[:Category:Patterns found in 1995|1995]]. It works by using four [[crown]]s and four [[block]]s to turn a [[pi heptomino]] ninety degrees every 42 [[generation]]s. A second pi heptomino can be inserted to reduce the period to 84. On March 26, [[:Category:patterns found in 2009|2009]] [[Nicolay Beluchenko]] found a relatively small period [[:Category:Oscillators with period 12|12]] [[spark]]er that could replace the crowns. On April 6, [[:Category:patterns found in 2010|2010]] [[Matthias Merzenich]] discovered the [[Blocked_p4-4|Blocked p4-4]]
|name         = Pi orbital
period 4 oscillator that also supports the oscillator.
|pname       = piorbital
|c            = 305
|bx           = 59
|by           = 59
|p            = 168
|m            = 42
|h           = 270.7
|v            = 0.91
|sv          = 0.61
|discoverer   = Noam Elkies
|discoveryear = 1995
|rulemin      = B3/S23
|rulemax      = B3/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3/S23
|isorulemax  = B3/S236ei
|plaintext    = true
|rle          = true
|animated    = true
|apgcode      = xp168_y965la8ceeeec8al56zy3888o040o11wo4xg190ggggy2ccy6szy72441x161x38841ydc2ghh4y0o8gzy3ggywo0cgy0jpu121zy311yw10jggx7fvzy5syv3408o2w321e96z697o4cw4hhg2cyv3zxvvuy0gc0oyh27dod72y4oozo4o79cwggg301z011y02o8043yagggo211sx8m8xo224gzy43y633y7p8y021w8o10201111zyq6aa5137777315aa6
|viewerconfig = #C [[ GPS 14 ZOOM 4 LOOP 168 ]]
}}
'''Pi orbital''' is a {{period|168}} [[oscillator]] that was found by [[Noam Elkies]] on August 22, {{year|1995}}.<ref>{{CiteSummersPattern|name=jslife|accessdate=March 14, 2020}}</ref> It works by using four [[crown]]s and four [[block]]s to turn a [[pi heptomino]] ninety degrees every 42 [[generation]]s. A second pi heptomino can be inserted to reduce the period to 84. On March 26, {{year|2009}} [[Nicolay Beluchenko]] found [[44P12.3|a relatively small period 12 sparker]] that could replace the crowns. On April 6, {{year|2010}} [[Matthias Merzenich]] discovered the [[Blocked_p4-4|Blocked p4-4]] period 4 oscillator that also supports the oscillator.


==Image gallery==
==Image gallery==
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*[[Popover]]
*[[Popover]]
*[[Pi portraitor]]
*[[Pi portraitor]]
==References==
<references />


==External links==
==External links==
{{LinkLexicon|lex_p.htm#piorbital}}
{{LinkLexicon|lex_p.htm#piorbital}}
{{LinkCatagolue|xp168_y965la8ceeeec8al56zy3888o040o11wo4xg190ggggy2ccy6szy72441x161x38841ydc2ghh4y0o8gzy3ggywo0cgy0jpu121zy311yw10jggx7fvzy5syv3408o2w321e96z697o4cw4hhg2cyv3zxvvuy0gc0oyh27dod72y4oozo4o79cwggg301z011y02o8043yagggo211sx8m8xo224gzy43y633y7p8y021w8o10201111zyq6aa5137777315aa6|format=extended}}


{{Symmetry|osc=turn90}}
{{Symmetry|osc=turn90}}
__NOTOC__

Revision as of 19:04, 14 March 2020

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 ]]
View animated image
View static image
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 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.

Image gallery

An alternate version of pi orbital using Nicolay Beluchenko's period 12 oscillator
RLE: here
Alternate form by Matthias Merzenich

See also

References

  1. ↑ Jason Summers' jslife pattern collection. Retrieved on March 14, 2020.

External links


Retrieved from "https://conwaylife.com/w/index.php?title=Pi_orbital&oldid=70102"