Three-block shifter

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Three-block shifter
x = 73, y = 73, rule = B3/S23 70bobo$70b2o$71bo56$bo$2bo$3o4$9b2o$9b2o6$3b2o4b2o$3b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ WIDTH 640 HEIGHT 480 X -30 Y 25 THUMBSIZE 2 ZOOM 16 GPS 35 PAUSE 2 T 254 PAUSE 2 GPS 15 T 339 PAUSE 2 GPS 35 T 489 PAUSE 2 LOOP 490 ]]
Pattern type Stable reflector
Number of cells 12
Bounding box 8 × 9
Angle
Repeat time 235
Colour Colour-preserving
Discovered by Paul Callahan
Year of discovery 1994

Three-block shifter is a constellation of three blocks that can shift a glider by 14 half-diagonals while flipping itself. The reaction was discovered by Paul Callahan and published on July 12, 1994.[1]

One of the blocks is hit by a glider, triggering a pi-heptomino, and the diagonally opposite block catalyses it to release a glider and drop a block 6 cells away. The remaining block is not touched, but it is exactly aligned with the newly laid block, effectively mirroring the constellation vertically. A second glider can be sent in at a different lane, at least 235 ticks later, to perform the same reaction and restore the original pattern.

It has been combined with glider reflectors to construct adjustable oscillators.[2][3]

Interestingly, the precise arrangement of blocks arise from a collision between a glider and a half-blockade, as reported by Dave Filpus in 1973.[4] This results in a 4-glider synthesis for the arrangement.

See also

References

  1. Dave Greene (November 17, 2017). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. loop-p936.lif from Jason Summers' "jslife" collection, by Noam Elkies, February 5, 2020.
  3. David Bell (October 23, 2017). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. Robert Wainwright (June 1973). Lifeline, vol 10, page 2.