Glide Reflection - Glide Reflection in Cellular Automata

Glide Reflection in Cellular Automata

Glide reflection is common in Conway's Game of Life. The four most common spaceships: the glider, LWSS, MWSS and HWSS all move using glide reflection. Every two iterations these spaceships appear to have been glide reflected to their new positions. Here is the evolution of the lightweight spaceship:

o . . o . . .
. . . . o . .
o . . . o . .
. o o o o . .
. . . . . . .
. . . . . . .
. . . o o . .
. o o . o o .
. o o o o . .
. . o o . . .
. . . . . . .
. . o o o o .
. o . . . o .
. . . . . o .
. o . . o . .
. . . o o . .
. . o o o o .
. . o o . o o
. . . . o o .
. . . . . . .

This then carries on glide reflecting in a similar manner.

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    All things change, nothing is extinguished.... There is nothing in the whole world which is permanent. Everything flows onward; all things are brought into being with a changing nature; the ages themselves glide by in constant movement.
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