R2-D2

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R2-D2
x = 11, y = 10, rule = B3/S23 5bo$4bobo$3bobobo$3bobobo$2obo3bob2o$2obo3bob2o$3bo3bo$3bobobo$4bobo$ 5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 4 ZOOM 20 LOOP 8 ]]
Pattern type Oscillator
Oscillator type Billiard table
Number of cells 29
Bounding box 11 × 10
Period 8 (mod: 4)
Heat 2.0
Volatility 0.22 | 0.22
Kinetic symmetry -c+e
Discovered by Peter Raynham
Year of discovery Unknown

R2-D2 is a period-8 oscillator that was found in the form shown in the infobox at right, but not named, by Peter Raynham in the early 1970s. The name derives from a form with a larger and less symmetric stator discovered later by Noam Elkies in August 1994, shown below.[1]

x = 8, y = 11, rule = B3/S23 3b2o$3b2o2$b6o$o6bo$2o3b3o2$8o$o6bo$3b2o$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 25 HEIGHT 400 ]]
R2-D2 stator from 1994 (which inspired the name)
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

Goldtiger997 found a 86-glider synthesis for this oscillator on March 7, 2020,[2] that has since been reduced to 53-glider on Catagolue.

On 2022-11-30, the shown variant with the smallest stator appeared in a symmetric soup discovered by the Open Science Grid, albeit not in a way useful to synthesis, with the initial soup matching 50 states of the 70 cells in its minimal covering octagon and the mechanism forming entirely in one generation, with pre-blocks becoming blocks in the next.[3]

A p5 diamond and four copies of R2-D2 can mutually rephase each other to create a p17 oscillator.

x = 23, y = 23, rule = B3/S23 8b2ob2o$8b2obo$12bo$6b6o$5bo6b3o$5b2o3b2o3bob2o$12bo2bobobo$5b7obobo3b o$4bo6bobobo3bob2o$4bo2b4ob2obo3bob2o$obobobo2bo3bobobobo$2obobob2o5b 2obobob2o$3bobobobo3bo2bobobobo$2obo3bob2ob4o2bo$2obo3bobobo6bo$3bo3bo bob7o$3bobobo2bo$4b2obo3b2o3b2o$8b3o6bo$11b6o$10bo$11bob2o$10b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 5 ZOOM 10 ]]
A period-17 oscillator that phase shifts the p5 diamond using R2-D2
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. Goldtiger997 (March 7, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  3. the attribute page, the soup

External links