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Reflective sphere against infinite hexagonal grid pattern

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After some experimenting with mapping between screen coordinates and a hexagonal grid, this pair of infinite planes appeared.

POV-Ray source:

document hex.pov (1.30 KB)

Reflective sphere against infinite hexagonal grid pattern with opposite colours

1024x768

1280x1024

1680x1050

1920x1200

2560x1600

…Its opposite soon followed.