Caterer

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Caterer
2bo5b$o3b4o$o3bo3b$o7b$3bo4b$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 GPS 2 ]]
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
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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.
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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