Pi orbital: Difference between revisions
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'''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 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. | ||
In December {{year|2020}}, [[GUYTU6J]] posted the final step of a synthesis of this oscillator, specifically the p12-supported variant.<ref name="post117043" /> | |||
==Image gallery== | ==Image gallery== | ||
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==References== | ==References== | ||
<references /> | <references> | ||
<ref name="post117043">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Synthesising Oscillators | |||
|p = 117043 | |||
|author = GUYTU6J | |||
|date = December 27, 2020 | |||
}}</ref> | |||
</references> | |||
==External links== | ==External links== | ||
Revision as of 21:24, 28 December 2020
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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 | Unspecified | ||||||||
| Discovered by | Noam Elkies | ||||||||
| Year of discovery | 1995 | ||||||||
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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.
In December 2020, GUYTU6J posted the final step of a synthesis of this oscillator, specifically the p12-supported variant.[2]
Image gallery
 RLE: here |
 |
See also
References
- ↑ Jason Summers' jslife pattern collection. Retrieved on March 14, 2020.
- ↑ GUYTU6J (December 27, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Pi orbital at the Life Lexicon
- Pi orbital at Adam P. Goucher's Catagolue (extended)
Categories:
- Patterns
- Oscillators with between 300 and 399 cells
- Periodic objects with minimum population between 300 and 399
- Patterns with between 300 and 399 cells
- Patterns found by Noam Elkies
- Patterns found in 1995
- Outer-totalistically endemic patterns
- Oscillators
- Oscillators with period 168
- Oscillators with mod 42
- Oscillators with heat between 200 and 299
- Oscillators with volatility 0.91
- Oscillators with strict volatility 0.61
- Non-flipping oscillators that turn 90 degrees