Caterer: Difference between revisions

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|bx              = 9
|bx              = 9
|by              = 6
|by              = 6
|fc              = 32.0
|p                = 3
|p                = 3
|m                = 3
|m                = 3
|h                = 14.7
|h                = 14.7
|v                = 0.88
|v                = 0.88
|symmetry        = n
|discoverer      = Dean Hickerson
|discoverer      = Dean Hickerson
|discoveryear    = 1989
|discoveryear    = 1989
|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B378/S2378
|rulemax          = B378/S2378
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3-ky/S2-n3air
|synthesis        = 7
|isorulemax      = B34-anz5-ai6-a78/S234-ajr5-inr6-ck78
|synthesis        = 5
|synthesisRLE    = true
|synthesisRLE    = true
|life105          = true
|life106          = true
|plaintext        = true
|plaintext        = true
|rle              = true
|rle              = true
Line 24: Line 25:
|animated        = true
|animated        = true
|viewerconfig    = #C [[ THUMBSIZE 2 GPS 2 ]]
|viewerconfig    = #C [[ THUMBSIZE 2 GPS 2 ]]
}}
}}{{for|the Discord bot|Conwaylife Lounge#Server bot}}
'''Caterer''' is a [[period]] [[:Category:Oscillators with period 3|3]] [[oscillator]] found by [[:Category:Patterns found by Dean Hickerson|Dean Hickerson]] on August 4, [[:Category:Patterns found in 1989|1989]].<ref>{{CiteHickersonOscillators}}</ref> Its rotor is similar to that of [[jam]]. In terms of its minimum population of [[:Category:patterns with 12 cells|12]] this is the smallest period 3 oscillator, and tied with [[fox]] as the smallest wholly asymmetric oscillator.<!--Mold has glide-reflectivity, NB.-->
'''Caterer''' is a {{period|3}} [[oscillator]] found by [[Dean Hickerson]] on August 4, {{year|1989}}.<ref>{{CiteHickersonOscillators}}</ref> Its rotor is similar to that of [[jam]]. In terms of its minimum population of {{cells|12|text=12 cells}} this is the smallest period 3 oscillator, and tied with [[fox]] and the two isomers of [[beacon]] on [[table]], namely [[Cis-beacon on table]] and [[Trans-beacon on table]], as the smallest wholly asymmetric oscillator.<!--Mold has glide-reflectivity, NB.-->


More generally, any oscillator which serves up a [[bit]] in the same manner, such as [[T-nosed p4]] and [[T-nosed p6]], may be referred to as a caterer.
More generally, any oscillator which serves up a [[bit]] in the same manner, such as [[T-nosed p4]] and [[T-nosed p6]], may be referred to as a caterer.


==[[List of common oscillators|Commonness]]==
== Commonness ==
Caterer is about the forty-second most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], being about as frequent as [[griddle and beehive]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>
{{main|List of common oscillators}}
Caterer is about the forty-second most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], being about as frequent as [[beehive on griddle]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> On [[Catagolue]], it is the fourth most common period 3 oscillator, being 1.93 times less common than [[trans-block on candlefrobra]] but 1.49 times more common than [[cis-block on candlefrobra]].<ref>{{citeCatagolue|page=census/b3s23/C1|title=Census|accessdate=May 4, 2023}}</ref>
 
== Glider synthesis ==
An {{gliders|11}} [[Glider synthesis|synthesis]] of the caterer was discovered by [[Tim Coe]];<ref>{{LinkNiemiec|lifecred.htm#coe|title=Life Credits|nobullet=nobullet}}</ref> [[Tanner Jacobi]] and [[Chris Cain]] later found a {{gliders|7}} synthesis.<ref name="post17333" /> Several additional [[edgy]] [[recipe]]s for caterers at different orientations were discovered from asymmetric soups and summarized by [[GUYTU6J]].<ref name="post131212" /> In September 2022, a {{gliders|5}} synthesis was found by iNoMed based on a partial synthesis found by the [[Open Science Grid]] in the moog_stdin symmetry.<ref name="p151006" />
 
== Domino spark ==
 
Placing a [[sparker]] in a certain way will change the next two generations in a way that it provides a [[Sparker#Strength of sparkers|weak]] [[domino spark]] that can accept a single cell in one of two locations next to it. This has been used in the [[p42 pre-pulsar shuttle]].
{|
|{{EmbedViewer
|rle          = x = 59, y = 17, rule = B3/S23
52bo$47b2o2bobo$32b2o13bo3bobo$32bo2bo12b3obob2o$50bobobobo$50bo6bo$
32bob2o15bob4o$7b3obo15b2o2bobo13b2o4bo$b2o7bobo8b2o4bo4bo8b2o4bo3bobo
b2o$3bo7bo11bo7bo11bo9bobo2bo$o8bo4bo5bo7bo2bo8bo7bo4bobob2o$o3bo5b5o
5bo3bo15bo3bo5b2o3bo$o3b4obo10bo3b4o12bo3b4o6b2o$2bo9bo9bo19bo$11b2o2$
3b3o20b3o14b3o!
|position    = center
|viewerconfig = #C [[ GPS 3 THUMBSIZE 2 WIDTH 500 ]]
|caption      = Examples at periods 3, 6, and 9. All three are shown eating a [[blinker]], with the period-3 and period-9 versions using the left contact point and the period-6 version using the right contact point.
}}
|}
 
== See also ==
* [[Crown]]
* [[Double caterer]]
* [[Triple caterer]]


==Synthesis==
== References ==
An [[:Category:Patterns_that_can_be_constructed_with_11_gliders|11]]-glider [[glider synthesis|synthesis]] of the caterer was discovered by [[Tim Coe]];<ref>{{cite web|url=http://codercontest.com/mniemiec/lifecred.htm#coe |publisher=Mark D. Niemiec |title=Life Credits |accessdate=June 10, 2011}}</ref> [[Tanner Jacobi]] and [[Chris Cain]] later found a 7-glider synthesis.
<references>
<ref name="post17333">{{LinkForumThread
|format    = ref
|p          = 17333
|author    = Chris Cain
|title      = Re: Soup search results
|date      = March 1, 2015
}}</ref>
<ref name="post131212">{{LinkForumThread
|format    = ref
|p          = 131212
|title      = Synthesising Caterer-based Oscillators
|author    = GUYTU6J
|date      = June 1, 2021
}}</ref>
<ref name="p151006">{{LinkForumThread
|format    = ref
|p          = 151006
|title     = Re: Synthesising Oscillators
|author    = iNoMed
|date      = September 14, 2022
}}</ref>
</references>


==See also==
== External links ==
*[[Crown]]
* {{LinkLexicon|lex_c.htm#caterer}}
*[[Double caterer]]
* {{LinkCatagolue|xp3_4hh186z07}}
*[[Triple caterer]]
* {{LinkPentadecathlonObject|12P3.1}}


==References==
{{Sparker|p=3|type=dot|strength=weak|strength2=moderate}}
<references />


==External links==
{{LinkWeisstein|Caterer.html}}
{{LinkLexicon|lex_c.htm#caterer}}
{{LinkCatagolue|xp3_4hh186z07}}
__NOTOC__
__NOTOC__

Latest revision as of 12:05, 31 October 2024

Caterer
2bo5b$o3b4o$o3bo3b$o7b$3bo4b$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 GPS 2 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 12
Bounding box 9 × 6
Frequency class 32.0
Period 3 (mod: 3)
Heat 14.7
Volatility 0.88 | 0.88
Kinetic symmetry n
Discovered by Dean Hickerson
Year of discovery 1989
For the Discord bot, see Conwaylife Lounge#Server bot.

Caterer is a period-3 oscillator found by Dean Hickerson on August 4, 1989.[1] Its rotor is similar to that of jam. In terms of its minimum population of 12 cells this is the smallest period 3 oscillator, and tied with fox and the two isomers of beacon on table, namely Cis-beacon on table and Trans-beacon on table, as the smallest wholly asymmetric oscillator.

More generally, any oscillator which serves up a bit in the same manner, such as T-nosed p4 and T-nosed p6, may be referred to as a caterer.

Commonness

Main article: List of common oscillators

Caterer is about the forty-second most common naturally-occurring oscillator in Achim Flammenkamp's census, being about as frequent as beehive on griddle.[2] On Catagolue, it is the fourth most common period 3 oscillator, being 1.93 times less common than trans-block on candlefrobra but 1.49 times more common than cis-block on candlefrobra.[3]

Glider synthesis

An 11-glider synthesis of the caterer was discovered by Tim Coe;[4] Tanner Jacobi and Chris Cain later found a 7-glider synthesis.[5] Several additional edgy recipes for caterers at different orientations were discovered from asymmetric soups and summarized by GUYTU6J.[6] In September 2022, a 5-glider synthesis was found by iNoMed based on a partial synthesis found by the Open Science Grid in the moog_stdin symmetry.[7]

Domino spark

Placing a sparker in a certain way will change the next two generations in a way that it provides a weak domino spark that can accept a single cell in one of two locations next to it. This has been used in the p42 pre-pulsar shuttle.

x = 59, y = 17, rule = B3/S23 52bo$47b2o2bobo$32b2o13bo3bobo$32bo2bo12b3obob2o$50bobobobo$50bo6bo$ 32bob2o15bob4o$7b3obo15b2o2bobo13b2o4bo$b2o7bobo8b2o4bo4bo8b2o4bo3bobo b2o$3bo7bo11bo7bo11bo9bobo2bo$o8bo4bo5bo7bo2bo8bo7bo4bobob2o$o3bo5b5o 5bo3bo15bo3bo5b2o3bo$o3b4obo10bo3b4o12bo3b4o6b2o$2bo9bo9bo19bo$11b2o2$ 3b3o20b3o14b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 3 THUMBSIZE 2 WIDTH 500 ]]
Examples at periods 3, 6, and 9. All three are shown eating a blinker, with the period-3 and period-9 versions using the left contact point and the period-6 version using the right contact point.
(click above to open LifeViewer)

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection.
  2. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on May 4, 2023.
  4. ↑ Life Credits at Mark D. Niemiec's Life Page
  5. ↑ Chris Cain (March 1, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  6. ↑ GUYTU6J (June 1, 2021). Synthesising Caterer-based Oscillators (discussion thread) at the ConwayLife.com forums
  7. ↑ iNoMed (September 14, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums


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