Difference between revisions of "32P21"
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(The active region in 56P27 seems only superficially similar; both active regions consist of an R-pentomino plus beehive, but in completely different relative configurations.) |
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==See also== | ==See also== | ||
* [[30P25]], also found by Charity Engine via symmetric soup search | * [[30P25]], also found by Charity Engine via symmetric soup search | ||
* [[Merzenich's p64]] | |||
==References== | ==References== | ||
Latest revision as of 21:06, 26 March 2024
| 32P21 | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 32 | ||||||||
| Bounding box | 16 × 18 | ||||||||
| Period | 21 | ||||||||
| Mod | 21 | ||||||||
| Heat | 16.2 | ||||||||
| Volatility | 0.90 | ||||||||
| Strict volatility | 0.90 | ||||||||
| Discovered by | Charity Engine | ||||||||
| Year of discovery | 2022 | ||||||||
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32P21 is a small period-21 oscillator found by Charity Engine on February 11, 2022 via symmetric soup search.[1] It uses a block and a tub on each side as catalysts. It is the smallest known period-21 oscillator by population, superseding caterer on 28P7.3.
Various LCM oscillators can be made from it, including the smallest known oscillators of periods 168,[2] 189,[3] 231,[2] and 462.[4]. It can also phase shift a p5 to create the smallest known oscillator of period 63. The Grins that it produces can be used to convert a beehive to a block, similarly to Coe's p8.
Mark Niemiec found a 20-glider synthesis of this oscillator on the day of its discovery.[5] This was reduced to 19 gliders by cvojan, and then to 18 by an unknown user.[6] The next day, cvojan found a 14-glider synthesis.[7]
About 1 in 2×1011 soups in the correct symmetry (C2_4) form a 32P21 in the centre.
Gallery
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See also
- 30P25, also found by Charity Engine via symmetric soup search
- Merzenich's p64
References
- ↑ David Raucci (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 2.0 2.1 2.2 2.3 2.4 iNoMed (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 3.0 3.1 David Raucci (February 13, 2022). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
- ↑ David Raucci (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Mark Niemiec (February 11, 2022). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ cvojan (February 11, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ cvojan (February 12, 2022). Message in #cgol on the Conwaylife Lounge Discord server
External links
- Patterns
- Oscillators with 32 cells
- Periodic objects with minimum population 32
- Patterns with 32 cells
- Patterns found by Charity Engine
- Patterns found in 2022
- Patterns that can be constructed with 14 gliders
- Oscillators
- Oscillators with period 21
- Oscillators with mod 21
- Oscillators with heat 16
- Oscillators with volatility 0.90
- Oscillators with strict volatility 0.90
- Sparkers
- Sparkers with period 21
- Dot sparkers
- Weak sparkers
- Patterns with 180-degree rotation symmetry
- Semi-natural periodic objects
- Unnamed periodic objects