Cha cha: Difference between revisions
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Name origin and synthesis references |
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'''Cha cha'''<ref>{{LinkNiemiec|16/16chacha.rle|title=Cha cha|nobullet=nobullet}}</ref> is a period 2 [[muttering moat]]<ref name="post27704" /> oscillator, the [[long]] [[extension]] of [[clock]]. | '''Cha cha'''<ref>{{LinkNiemiec|16/16chacha.rle|title=Cha cha|nobullet=nobullet}}</ref> is a period 2 [[muttering moat]]<ref name="post27704" /> oscillator, the [[long]] [[extension]] of [[clock]]. | ||
== | == Natural Occurrence == | ||
{{main|List of common oscillators}} | {{main|List of common oscillators}} | ||
In a somewhat unique edge case, on July 11, 2022 [[Charity Engine]] found a [[static symmetry|symmetric]] soup (in the symmetry C2_2) that produces this oscillator in an asymmetric manner, and the two halves of the soup do not interact throughout the evolution of the soup. As a result, by using the same seed for a C1 soup, an asymmetric soup producing cha cha can be made. However, since an asymmetric SHA-256 preimage is known for an occurrence of this oscillator (as described above), the oscillator is considered as being [[natural]].<ref name="post148373" /> | |||
In a somewhat unique case, on July 11, 2022 [[Charity Engine]] found a [[static symmetry|symmetric]] soup (in the symmetry C2_2) that produces this oscillator in an asymmetric manner, and the two halves of the soup do not interact throughout the evolution of the soup. As a result, by using the same seed for a C1 soup, an asymmetric soup producing cha cha can be made, | |||
== Glider synthesis == | == Glider synthesis == | ||
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{{Symmetry|180degree}} | {{Symmetry|180degree}} | ||
{{Natural}} | |||
__NOTOC__ | __NOTOC__ | ||
Revision as of 14:47, 23 July 2023
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Muttering moat | ||||||||
| Family | Clock | ||||||||
| Number of cells | 16 | ||||||||
| Bounding box | 8 × 6 | ||||||||
| Period | 2 (mod: 2) | ||||||||
| Heat | 16 | ||||||||
| Volatility | 0.66 | 0.66 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Cha cha[1] is a period 2 muttering moat[2] oscillator, the long extension of clock.
Natural Occurrence
- Main article: List of common oscillators
In a somewhat unique edge case, on July 11, 2022 Charity Engine found a symmetric soup (in the symmetry C2_2) that produces this oscillator in an asymmetric manner, and the two halves of the soup do not interact throughout the evolution of the soup. As a result, by using the same seed for a C1 soup, an asymmetric soup producing cha cha can be made. However, since an asymmetric SHA-256 preimage is known for an occurrence of this oscillator (as described above), the oscillator is considered as being natural.[3]
Glider synthesis
A 23-glider synthesis was found by Martin Grant in early December 2013.[4] Later a 12-glider synthesis was found by Goldtiger997 in April 2019.[5]
References
- ↑ Cha cha at Mark D. Niemiec's Life Page
- ↑ fsrm (February 23, 2016). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Carson Cheng (July 17, 2022). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Martin Grant (December 1, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Jeremy Tan (April 19, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- The 98 sixteen-bit period 2 oscillators at Mark D. Niemiec's Life Page
- Cha cha at Adam P. Goucher's Catagolue
- 16P2.94 at Heinrich Koenig's Game of Life Object Catalogs
- Cha cha at Wikipedia (name origin)
Categories:
- Patterns
- Oscillators with 16 cells
- Periodic objects with minimum population 16
- Patterns with 16 cells
- Patterns that can be constructed with 12 gliders
- Oscillators
- Clock variants
- Muttering moats
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat 16
- Oscillators with volatility 0.66
- Oscillators with strict volatility 0.66
- Patterns with 180-degree rotation symmetry
- Natural periodic objects