Cha cha: Difference between revisions
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|h = 16 | |h = 16 | ||
|v = 0.66 | |v = 0.66 | ||
|symmetry = .k | |||
|rulemin = B3/S23 | |rulemin = B3/S23 | ||
|rulemax = B3678/S02345678 | |rulemax = B3678/S02345678 | ||
|isorulemin = B3ejknq/S2ik3cy | |isorulemin = B3ejknq/S2ik3cy | ||
|isorulemax = B2ein34-jk5-ry678/S02345678 | |isorulemax = B2ein34-jk5-ry678/S02345678 | ||
|synthesis = | |synthesis = 10 | ||
|synthesisRLE = true | |synthesisRLE = true | ||
|animated = true | |animated = true | ||
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|pentadecathlonid = 16P2.94 | |pentadecathlonid = 16P2.94 | ||
}} | }} | ||
'''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]]. It has similar catalytic capacities to the clock. | ||
== Natural Occurrence == | == Natural Occurrence == | ||
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== Glider synthesis == | == Glider synthesis == | ||
A 23 | A {{gliders|23}} [[glider_synthesis|synthesis]] was found by [[Martin Grant]] in early December 2013.<ref name="post9966" /> In April 2019, a {{gliders|12}} synthesis was found by [[Goldtiger997]].<ref name="post75247" /> On May 11, 2025, [[Mitchell Riley]] ran a haul using a modified version of [[QuFince]] that found multiple distinct dirty 8-glider syntheses, that could be cleaned up into a {{gliders|10}} synthesis.<ref name="post211748"/> | ||
== See also == | == See also == | ||
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* [[By flops]] | * [[By flops]] | ||
* [[Why not]] | * [[Why not]] | ||
* [[ | * [[Circle of fire]] | ||
== References == | == References == | ||
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|author = Jeremy Tan | |author = Jeremy Tan | ||
|date = April 19, 2019 | |date = April 19, 2019 | ||
}}</ref> | |||
<ref name="post211748">{{LinkForumThread | |||
|format = ref | |||
|p = 211748 | |||
|title = Re: Still Life Synthesis Thread | |||
|author = Mitchell Riley | |||
|date = May 11, 2025 | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
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* {{LinkWikipedia|Cha_cha_cha_(dance)|name=Cha cha}} (name origin) | * {{LinkWikipedia|Cha_cha_cha_(dance)|name=Cha cha}} (name origin) | ||
{{Natural}} | {{Natural}} | ||
[[Category:Extendable oscillators]] | |||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 21:10, 19 January 2026
| Cha cha | |||||||||
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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 | .k | ||||||||
| 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. It has similar catalytic capacities to the clock.
Natural Occurrence
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] In April 2019, a 12-glider synthesis was found by Goldtiger997.[5] On May 11, 2025, Mitchell Riley ran a haul using a modified version of QuFince that found multiple distinct dirty 8-glider syntheses, that could be cleaned up into a 10-glider synthesis.[6]
See also
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
- ↑ Mitchell Riley (May 11, 2025). Re: Still Life Synthesis Thread (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 10 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
- Oscillators with .k symmetry
- Natural periodic objects
- Extendable oscillators