Rewind

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This article could be expanded with: how rewinding a pattern is conceptually same as/different from searching for a (more or less arbitrary) predecessor of the pattern, and in practice how to rewind/find predecessor for arbitrary (including periodic and non-periodic) patterns, with or without context of glider synthesis

To rewind a pattern is to change it into a form that it would have looked several generations earlier.[1]

For glider syntheses or other multi-object collisions, rewinding the pattern amounts to moving every spaceship and every oscillator back in time by the same number of ticks. A synthesis is only considered valid when it can be rewound back by an arbitrary number of generations.[2]

There is a python script that rewinds standard spaceships, blinkers and beacons in a given pattern by one tick.[3]

See also

References

  1. Nathaniel Johnston, Dave Greene. Conway's Game of Life: Mathematics and Construction (2022), pp. 179.
  2. Nathaniel Johnston, Dave Greene. Conway's Game of Life: Mathematics and Construction (2022), Section 5.7.4, pp. 144.
  3. Dave Greene. "glider-rewinder.py". GitHub. (python 3.x compatible version)

External links

  • Dave Greene (May 29, 2013). Glider Rewinder (discussion thread) at the ConwayLife.com forums