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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
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B3ejknq/S2ik3cy
|isorulemin      = B3ejknq/S2ik3cy
|isorulemax      = B2ein34-jk5-ry678/S02345678
|isorulemax      = B2ein34-jk5-ry678/S02345678
|synthesis        = 12
|synthesis        = 10
|synthesisRLE    = true
|synthesisRLE    = true
|animated        = true
|animated        = true
Line 26: Line 26:
|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.


== Commonness ==
== Natural Occurrence ==
{{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#Catagolue|natural]].<ref name="post148373" />
This oscillator occurred in an asymmetric soup on [[Catagolue]] on July 17, 2022.<ref>[https://catagolue.hatsya.com/hashsoup/C1/c_B7IJkdjoXSK4168814188/b3s23 {{filename|hashsoup/C1/c_B7IJkdjoXSK4168814188/b3s23}}], [https://catagolue.hatsya.com/attribute/xp2_4o6o7o68zx1/b3s23 {{filename|attribute/xp2_4o6o7o68zx1/b3s23}}]</ref><ref>{{LinkForumThread|t=5549|title=Small Unnatural Objects Watchlist|format=ref}}</ref>


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, making it ambiguous whether or not this oscillator qualified as "[[natural]]" at that time.<ref name="post148373" />
== Glider synthesis ==
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"/>


== Glider synthesis ==
== See also ==
{{Small constructible periodic object}}
* [[Very long clock]]
* [[By flops]]
* [[Why not]]
* [[Circle of fire]]


== References ==
== References ==
Line 52: Line 55:
|author = Carson Cheng
|author = Carson Cheng
|date  = July 17, 2022
|date  = July 17, 2022
}}</ref>
<ref name="post9966">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 9966
|author = Martin Grant
|date  = December 1, 2013
}}</ref>
<ref name="post75247">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 75247
|author = Jeremy Tan
|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>
Line 59: Line 83:
* {{LinkCatagolue|xp2_4o6o7o68zx1}}
* {{LinkCatagolue|xp2_4o6o7o68zx1}}
* {{LinkPentadecathlonObject|16P2.94}}
* {{LinkPentadecathlonObject|16P2.94}}
* {{LinkWikipedia|Cha_cha_cha_(dance)|name=Cha cha}} (name origin)


{{Symmetry|180degree}}
{{Natural}}
{{Natural}}
[[Category:Extendable oscillators]]
__NOTOC__
__NOTOC__

Latest revision as of 21:10, 19 January 2026

Cha cha
4bo$2bobobo$obobobo$bobobobo$bobobo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
View animated image
View static image
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

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

  1. ↑ Cha cha at Mark D. Niemiec's Life Page
  2. ↑ fsrm (February 23, 2016). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  3. ↑ Carson Cheng (July 17, 2022). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  4. ↑ Martin Grant (December 1, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. ↑ Jeremy Tan (April 19, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ Mitchell Riley (May 11, 2025). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
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