Figure eight on pentadecathlon
| Figure eight on pentadecathlon | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 24 | ||||||||
| Bounding box | 19 × 16 | ||||||||
| Period | 120 (mod: 120) | ||||||||
| Heat | 38.9 | ||||||||
| Volatility | 1.00 | 0.01 | ||||||||
| Kinetic symmetry | n | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Figure eight on pentadecathlon can refer to one of two very closely related period-120 oscillator composed of a figure eight and pentadecathlon. The version detailed in the infobox to the right is the cis-version.
Although composed of two oscillators of smaller periods (8 and 15 respectively), they are considered non-trivial, due to containing one cell that is alive in generation 95 and dead in the other 119 phases of the oscillator. In terms of its 24 cells, they are the smallest known non-trivial period-120 oscillators, with the cis- version being the outright smallest when also considering the bounding box size.
| Image | Name | apgcode | Cost in gliders |
|---|---|---|---|
|
Cis-figure eight on pentadecathlon | xp120_4r4y13bg2kgz4r4y511 | 7 |
|
Trans-figure eight on pentadecathlon | xp120_vtvz757y1ssszy7777 | 7 |
Period-120 cell in the cis version (generation 95)
Period-120 cell in the trans version (generation 95)
Variants
26-cell variants
Alongside the two aforementioned 24-cell versions of the figure-eight-on-pentadecathlon, there are also two ways to combine a figure eight and a pentadecathlon into an oscillator with 26 cells in its minimum phase, which have 3 cells which oscillate with period 120.
Two of the period-120 cells are highlighted in the images in the below table; other pictures which display the third cell can be seen below it.
| Image | Name | apgcode | Cost in gliders |
|---|---|---|---|
|
Cis-figure eight on pentadecathlon v2 | xp120_gk2gb3y14evy2ve4z11 | 7 |
|
Trans-figure eight on pentadecathlon v2 | xp120_xsssy375777757z777 | 7 |
Third period-120 cell in the cis version (generation 15)
Third period-120 cell in the trans version (generation 15)
Commonness
The cis variant first appeared in an asymmetric soup on March 3, 2019, in a haul submitted to Catagolue by benetnasch85.[1] This makes it the highest period oscillator to have occurred naturally.[2] The trans variant later appeared naturally on February 20, 2021, in a soup by Adam P. Goucher.
See also
References
- ↑ testitemqlstudop (March 3, 2019). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on March 3, 2019.
- Patterns
- Oscillators with 24 cells
- Periodic objects with minimum population 24
- Patterns with 24 cells
- Patterns that can be constructed with 7 gliders
- Outer-totalistically endemic patterns
- Oscillators
- Oscillators with period 120
- Oscillators with mod 120
- Oscillators with heat 38
- Oscillators with volatility 1.00
- Oscillators with strict volatility 0.01
- Oscillators with n symmetry
- Natural periodic objects
- Least-common-multiple oscillators