Difference between revisions of "Cyclic"

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{{Oscillator
{{Oscillator
|name           = Cyclic
|name             = Cyclic
|pname           = cyclic
|pname           = cyclic
|c               = 32
|f1              = Billiard table
|bx             = 10
|c               = 32
|by             = 10
|bx               = 10
|p               = 2
|by               = 10
|h               = 8
|fc              = 42.5
|v               = 0.22
|p               = 2
|rulemin         = B3/S23
|m                = 2
|rulemax         = B378/S01235678
|h               = 8
|rulespecial     = [[Conway's Game of Life|Conway Life]]
|v               = 0.22
|animated        = true
|rotor            = Diagonal on-off
|nofile          = true
|discoverer      = Ian Osgood
|viewerconfig   = #C [[ TRACKLOOP 2 0 0 THUMBSIZE 3 GPS 2 HEIGHT 400 WIDTH 400 ]]
|discoveryear    = 2006
|rulemin         = B3/S23
|rulemax         = B378/S01235678
|rulespecial     = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3jn/S2ck3jknqy
|isorulemax      = B2cik34-ejwz5-kq6-n78/S01234-ky5678
|synthesis        = 9
|synthesisRLE    = true
|animated         = true
|plaintext       = true
|rle              = true
|viewerconfig     = #C [[ LOOP 2 THUMBSIZE 2 HEIGHT 480 GPS 2 ]]
|apgcode          = xp2_g8861dmo8gz123dmgc221
|pentadecathlonid = 32P2.15192
}}
}}
'''Cyclic''' is a [[period]] 2 [[oscillator]] that resembles both a [[bakery]] and the rotor of the [[great on-off]] and [[eater plug]].
'''Cyclic''' is a {{period|2}} [[oscillator]] that resembles both a [[bakery]] and the rotor of the [[great on-off]] and [[eater plug]]. It was reported by Ian Osgood in {{year|2006}} and recognized as a new [[casing]] for a previously known oscillator, {{LinkCatagolue|xp2_0g842dlq4oz34blm8421|patternname=32P2.15181|style=raw}}.<ref>{{LinkGoLNews|2006/03/new_p2_oscillators.html|title=New P2 Oscillators|date=March 1, 2006|author=Heinrich Koenig‏‎}}</ref>
 
One predecessor consists entirely of a bakery plus two diagonally adjacent cells added in the middle, as shown below. Due to the simplicity of this predecessor, the oscillator is sometimes referred to as the "most rediscovered pattern" in Conway's Game of Life.<ref name="post121959" />
 
Another predecessor consists of an [[lake 2]] with a [[duoplet]] in the middle, which is also frequently rediscovered.
 
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname    = cyclicpredecessor
|position = center
|caption  = Cyclic predecessor
|style    = width:300px;
}}}}
 
{{gallery item|{{EmbedViewer
|rle = x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2o4b2o$o3bo4bo$o4bo3bo$b2o4b2o$3bo2bo$3bo2bo$4b2o!
|position = center
|caption  = Another cyclic predecessor
|style    = width:300px;
}}}}
{{gallery bottom}}
 
A {{gliders|10}} [[synthesis]] for this oscillator was found by [[Goldtiger997]] on July 6, 2016.<ref name="post32885" />


==See also ==
==See also ==
*[[A for all]]
* [[A for all]]
* [[Four boats]]
* [[Washing machine]]
 
==References==
<references>
<ref name="post121959">{{LinkForumThread
|format = ref
|title  = Re: Thread For Your Useless Discoveries
|p      = 121959
|author = bubblegum
|date  = February 6, 2021
}}</ref>
<ref name="post32885">{{LinkForumThread
|format    = ref
|p          = 32885
|title      = Re: Synthesising Oscillators
|author    = Goldtiger997
|date      = July 6, 2016
}}</ref>
</references>


==External links==
==External links==
{{LinkCatagolue|xp2_g8861dmo8gz123dmgc221}}
* {{LinkCatagolue|xp2_g8861dmo8gz123dmgc221}}
* {{LinkPentadecathlonObject|32P2.15192}}


{{Symmetry|diagonal2}}
{{Symmetry|diagonal4}}
[[Category:Billiard table configurations]]

Latest revision as of 06:47, 11 January 2024

Cyclic
4b2o$3bo2bo$3bob2o$b2o2bob2o$o5b2obo$ob2o5bo$b2obo2b2o$3b2obo$3bo2bo$ 4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 THUMBSIZE 2 HEIGHT 480 GPS 2 ]]
View animated image
View static image
Pattern type Oscillator
Oscillator type Billiard table
Number of cells 32
Bounding box 10 × 10
Frequency class 42.5
Period 2
Mod 2
Heat 8
Volatility 0.22
Strict volatility 0.22
Rotor type Diagonal on-off
Discovered by Ian Osgood
Year of discovery 2006

Cyclic is a period-2 oscillator that resembles both a bakery and the rotor of the great on-off and eater plug. It was reported by Ian Osgood in 2006 and recognized as a new casing for a previously known oscillator, 32P2.15181.[1]

One predecessor consists entirely of a bakery plus two diagonally adjacent cells added in the middle, as shown below. Due to the simplicity of this predecessor, the oscillator is sometimes referred to as the "most rediscovered pattern" in Conway's Game of Life.[2]

Another predecessor consists of an lake 2 with a duoplet in the middle, which is also frequently rediscovered.


x = 10, y = 10, rule = B3/S23 4b2o$3bo2bo$3bobo$b2obo3bo$o2b2o2bobo$obo2b2o2bo$bo3bob2o$4bobo$3bo2bo $4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Cyclic predecessor
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 10, y = 10, rule = B3/S23 4b2o$3bo2bo$3bo2bo$b2o4b2o$o3bo4bo$o4bo3bo$b2o4b2o$3bo2bo$3bo2bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Another cyclic predecessor
(click above to open LifeViewer)


A 10-glider synthesis for this oscillator was found by Goldtiger997 on July 6, 2016.[3]

See also

References

  1. ↑ New P2 Oscillators at Game of Life News. Posted by Heinrich Koenig‏‎ on March 1, 2006.
  2. ↑ bubblegum (February 6, 2021). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
  3. ↑ Goldtiger997 (July 6, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Cyclic&oldid=144331"