Sombreros

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Sombreros
x = 18, y = 11, rule = B3/S23 3b2o8b2o$3bobo6bobo$5bo6bo$3bob2o4b2obo$b3o10b3o$o3bobo4bobo3bo$b3o10b 3o$3bob2o4b2obo$5bo6bo$3bobo6bobo$3b2o8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 3 ZOOM 20 LOOP 6 ]]
Pattern type Oscillator
Number of cells 50
Bounding box 18×11
Period 6
Mod 6
Heat 5.3
Volatility 0.25
Strict volatility 0.25
Discovered by David Buckingham
Year of discovery 1972

Sombreros is a period-6 oscillator that was found by David Buckingham in December 1972.[1][2] Each half by itself is called a sombrero.

If the two sombreros are moved three cells closer to one another, the oscillator's period drops to 4 and the result is just a less compact form of Achim's p4:

x = 15, y = 11, rule = B3/S23 3b2o5b2o$3bobo3bobo$5bo3bo$3bob2ob2obo$b3o7b3o$o3bobobobo3bo$b3o7b3o$ 3bob2ob2obo$5bo3bo$3bobo3bobo$3b2o5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
Period 4 variant
(click above to open LifeViewer)
RLE: here Plaintext: here

Two sombreros moved two spaces closer and staggered by one space forms a period 5 oscillator called Siesta.

goldenratio found a 36-glider synthesis of a sombreros variant in October 2020.[3]

References

  1. Robert Wainwright (March 1973). Lifeline, vol 9, page 3.
  2. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. goldenratio (October 3, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links

  • 50P6.9 at Heinrich Koenig's Game of Life Object Catalogs