Beluchenko's p13: Difference between revisions
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It can be combined with itself and with other oscillators to produce larger oscillators with periods that are multiples of 13. There are three ways in which two of these can share a common [[block]], all of which are shown below. [[Jason Summers]] also discovered that four of these oscillators can be combined to create a pure [[rotor]] oscillator (i.e., where none of the cells are alive in all [[phase]]s), making it the first such oscillator known with a prime period greater than two. | It can be combined with itself and with other oscillators to produce larger oscillators with periods that are multiples of 13. There are three ways in which two of these can share a common [[block]], all of which are shown below. [[Jason Summers]] also discovered that four of these oscillators can be combined to create a pure [[rotor]] oscillator (i.e., where none of the cells are alive in all [[phase]]s), making it the first such oscillator known with a prime period greater than two. | ||
Beluchenko's p13 first appeared [[semi-natural]]ly in March {{year|2016}}, in a [[symmetric]] [[soup]] submitted to [[Catagolue]].<ref name="post29522" /> | |||
==Image gallery== | ==Image gallery== | ||
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==References== | ==References== | ||
<references /> | <references> | ||
<ref name="post29522">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Soup search results | |||
|p = 29522 | |||
|author = Aidan F. Pierce | |||
|date = March 31, 2016 | |||
}}</ref> | |||
</references> | |||
== External links == | == External links == | ||
Revision as of 00:52, 8 March 2020
| Beluchenko's p13 | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 34 | ||||||||
| Bounding box | 17 × 17 | ||||||||
| Period | 13 (mod: 13) | ||||||||
| Heat | 30.2 | ||||||||
| Volatility | 0.96 | 0.96 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | Nicolay Beluchenko | ||||||||
| Year of discovery | 2009 | ||||||||
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Beluchenko's p13 is a period-13 oscillator found by Nicolay Beluchenko[1] on January 4, 2009.[2] In terms of its 34 cells, it is the smallest known period 13 oscillator.[3]
It can be combined with itself and with other oscillators to produce larger oscillators with periods that are multiples of 13. There are three ways in which two of these can share a common block, all of which are shown below. Jason Summers also discovered that four of these oscillators can be combined to create a pure rotor oscillator (i.e., where none of the cells are alive in all phases), making it the first such oscillator known with a prime period greater than two.
Beluchenko's p13 first appeared semi-naturally in March 2016, in a symmetric soup submitted to Catagolue.[4]
Image gallery
 RLE: here |
 RLE: here |
 RLE: here |
 RLE: here |
See also
References
- ↑ "New Oscillators at Game of Life News" (January 8, 2009). Retrieved on April 11, 2009.
- ↑ Jason Summers' all-osc oscillators collection
- ↑ "Class 2 Objects Catalog". Retrieved on April 11, 2009.
- ↑ Aidan F. Pierce (March 31, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
External links
- 34P13.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 34 cells
- Periodic objects with minimum population 34
- Patterns with 34 cells
- Patterns found by Nicolay Beluchenko
- Patterns found in 2009
- Patterns that can be constructed with 14 gliders
- Oscillators
- Oscillators with period 13
- Prime-period oscillators
- Oscillators with mod 13
- Oscillators with heat 30
- Oscillators with volatility 0.96
- Oscillators with strict volatility 0.96
- Patterns with bilateral diagonal symmetry
- Sparkers
- Sparkers with period 13
- Dot sparkers
- Strong sparkers
- Semi-natural periodic objects