Pi orbital
| Pi orbital | |||||||||
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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 | ||||||||
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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]
| An alternate version of pi orbital using Eye of Sauron (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
| 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 |
See also
- Gourmet
- Popover
- Pi portraitor
- p48 pi-heptomino hassler
- 255P132 - another high-period oscillator (132) that involves four 90° rotations of a U-turner
References
- ↑ Jason Summers' jslife pattern collection. Retrieved on March 14, 2020.
- ↑ Pi bond, Atomic orbital on Wikipedia
- ↑ New Oscillators at Game of Life News. Posted by Heinrich Koenig on April 14, 2009.
- ↑ A plethora of p4 hasslers at Game of Life News. Posted by Adam P. Goucher on January 3, 2011.
- ↑ Dave Greene (April 10, 2017). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
- ↑ GUYTU6J (December 27, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (July 7, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ wwei23 (December 12, 2020). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (December 15, 2020). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
External links
- Pi orbital at the Life Lexicon
- Pi orbital at Adam P. Goucher's Catagolue (extended)
- Pi orbital with Eye of Sauron at Adam P. Goucher's Catagolue (extended)
- 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
- Oscillators with nrc symmetry
- Pi-heptomino hasslers
- Factories