Glider-pair adjustment toolkit

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The glider-pair adjustment toolkit is a toolkit developed in 2017 that helps creating two synchronized gliders from a single input.

Considering phase and color, there are sixteen distinct ways for output gliders to be produced in relation to each other that cannot convert from one class to another by adding Snarks. The sixteen types are labelled [E|O][e|o][0|1|2|3], where the output gliders are reflected so they are traveling away from each other, one heading northwest and one southeast, and the NW glider is in 3o$o$bo! orientation.

  • E = bounding box around the two gliders has even width
  • O = bounding box around the two gliders has odd width
  • e = bounding box around the two gliders has even height
  • o = bounding box around the two gliders has odd height
  • 0 = SE glider is bo$2bo$3o!
  • 1 = SE glider is obo$b2o$bo!
  • 2 = SE glider is 2bo$obo$b2o!
  • 3 = SE glider is o$b2o$2o!

The toolkit is a tabulation of stable H-to-2G converters classified in this scheme. In practice, one determines the relationship of two gliders with a python script, looks up the table and pick a H-to-2G, and then adds a glider-to-Herschel converter and optionally some Snarks to complete a glider duplicator with desired outputs. An example walkthrough can be found on the forums.[1]

See also

References

  1. ↑ Dave Greene (March 26, 2017). Re: Construction practice (discussion thread) at the ConwayLife.com forums