Pi orbital: Difference between revisions

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|animated    = true
|animated    = true
|apgcode      = xp168_y965la8ceeeec8al56zy3888o040o11wo4xg190ggggy2ccy6szy72441x161x38841ydc2ghh4y0o8gzy3ggywo0cgy0jpu121zy311yw10jggx7fvzy5syv3408o2w321e96z697o4cw4hhg2cyv3zxvvuy0gc0oyh27dod72y4oozo4o79cwggg301z011y02o8043yagggo211sx8m8xo224gzy43y633y7p8y021w8o10201111zyq6aa5137777315aa6
|apgcode      = xp168_y965la8ceeeec8al56zy3888o040o11wo4xg190ggggy2ccy6szy72441x161x38841ydc2ghh4y0o8gzy3ggywo0cgy0jpu121zy311yw10jggx7fvzy5syv3408o2w321e96z697o4cw4hhg2cyv3zxvvuy0gc0oyh27dod72y4oozo4o79cwggg301z011y02o8043yagggo211sx8m8xo224gzy43y633y7p8y021w8o10201111zyq6aa5137777315aa6
|viewerconfig = #C [[ GPS 14 ZOOM 4 LOOP 168 ]]
|viewerconfig = #C [[ GPS 14 ZOOM 8 WIDTH 600 HEIGHT 600 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.
'''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 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.


In December {{year|2020}}, [[GUYTU6J]] posted the final step of a synthesis of this oscillator, specifically the p12-supported variant.<ref name="post117043" />
On March 26, {{year|2009}} [[Nicolay Beluchenko]] found a relatively small period-12 sparker, [[44P12.3]], that could replace the crown.<ref>{{cite web|url=http://pentadecathlon.com/lifeNews/2009/04/new_oscillators_5.html|title=New Oscillators|date=April 14, 2009|work=[[Game of Life News]]|author=Heinrich Koenig|accessdate=September 15, 2021}}</ref> On April 6, {{year|2010}} [[Matthias Merzenich]] discovered the [[blocked p4-4]] that also supports the oscillator.<ref>{{cite web|url=http://pentadecathlon.com/lifeNews/2011/01/a_plethora_of_p4_hasslers_1.html|title=A plethora of p4 hasslers|date=January 3, 2011|work=Game of Life News|author=Adam P. Goucher|accessdate=September 15, 2021}}</ref> Currently, the exact pi-turning reaction has not been made into a stable [[conduit]] yet.<ref name="post42551" />
 
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 {{year|2020}}.<ref name="post117043" /> Meanwhile, the fact makes pi orbital a block [[factory]] suitable for stabilizing a [[honey farm]]-[[hassle|hassling]] [[wick]] at the same period.<ref name="post133184" /> Furthermore, sparking the active region before settling into the block creates a [[B-heptomino]],<ref name="post115599" /> and [[weld]]ing a [[BFx59H]] to the blocked p4-4 to release a [[Herschel]] is possible.<ref name="post115914" />


==Image gallery==
==Image gallery==
{|
{|
|-
|-
|[[Image:piorbital_alt.png|framed|left|An alternate version of pi orbital using Nicolay Beluchenko's period 12 oscillator<br/>{{JavaRLE|alternatepiorbital|brief}}]]
|[[Image:piorbital_alt.png|framed|left|An alternate version of pi orbital using 44P12.3<br/>{{JavaRLE|alternatepiorbital|brief}}]]
|[[Image:P168.PNG‎|framed|left|Alternate form by Matthias Merzenich]]
|[[Image:P168.PNG‎|framed|left|Alternate form by Matthias Merzenich]]
|}
|}


==See also==
==See also==
*[[Crown]]
*[[Gourmet]]
*[[Gourmet]]
*[[Popover]]
*[[Popover]]
*[[Pi portraitor]]
*[[Pi portraitor]]
*[[P48 pi-heptomino hassler]]


==References==
==References==
<references>
<references>
<ref name="post42551">{{LinkForumThread
|format = ref
|title  = Re: Stable signal converters
|p      = 42551
|author = Dave Greene
|date  = April 10, 2017
}}</ref>
<ref name="post117043">{{LinkForumThread
<ref name="post117043">{{LinkForumThread
|format = ref
|format = ref
Line 48: Line 57:
|author = GUYTU6J
|author = GUYTU6J
|date  = December 27, 2020
|date  = December 27, 2020
}}</ref>
<ref name="post133184">{{LinkForumThread
|format = ref
|title  = Re: Oscillator Discussion Thread
|p      = 133184
|author = Matthias Merzenich
|date  = July 7, 2021
}}</ref>
<ref name="post115599">{{LinkForumThread
|format = ref
|title  = Re: Gun Discussion Thread
|p      = 115599
|author = wwei23
|date  = December 12, 2020
}}</ref>
<ref name="post115914">{{LinkForumThread
|format = ref
|title  = Re: Gun Discussion Thread
|p      = 115914
|author = Adam P. Goucher
|date  = December 15, 2020
}}</ref>
}}</ref>
</references>
</references>
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{{LinkLexicon|lex_p.htm#piorbital}}
{{LinkLexicon|lex_p.htm#piorbital}}
{{LinkCatagolue|xp168_y965la8ceeeec8al56zy3888o040o11wo4xg190ggggy2ccy6szy72441x161x38841ydc2ghh4y0o8gzy3ggywo0cgy0jpu121zy311yw10jggx7fvzy5syv3408o2w321e96z697o4cw4hhg2cyv3zxvvuy0gc0oyh27dod72y4oozo4o79cwggg301z011y02o8043yagggo211sx8m8xo224gzy43y633y7p8y021w8o10201111zyq6aa5137777315aa6|format=extended}}
{{LinkCatagolue|xp168_y965la8ceeeec8al56zy3888o040o11wo4xg190ggggy2ccy6szy72441x161x38841ydc2ghh4y0o8gzy3ggywo0cgy0jpu121zy311yw10jggx7fvzy5syv3408o2w321e96z697o4cw4hhg2cyv3zxvvuy0gc0oyh27dod72y4oozo4o79cwggg301z011y02o8043yagggo211sx8m8xo224gzy43y633y7p8y021w8o10201111zyq6aa5137777315aa6|format=extended}}
{{LinkCatagolue|xp168_yyg0e1gegggzygggy6g8882u1dd1uh4442zy2ggy811y7222t21t13z0oo0jbaafggggyl1z34747obb870fc3yx66zy135533zzyvca2248gy2gg06mlluzy433ylckgh843y169f8fgmmgf1vp6zyho40oyn7aa66zyd8o6kl4q5iii8y6cczy92999kb4l5c32zyd3043|format=extended|patternname=Pi orbital with 44P12.3}}


{{Symmetry|osc=turn90}}
{{Symmetry|osc=turn90}}
[[Category:Pi-heptomino hasslers]]
[[Category:Pi-heptomino hasslers]]
__NOTOC__
__NOTOC__

Revision as of 16:15, 15 September 2021

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 ]]
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 | 0.61
Kinetic symmetry Unspecified
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.

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]

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

See also

References

  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
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