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Tile Patterns : Symmetry-Based Replication - Joe Sweeney

Tile Patterns

Symmetry-Based Replication

By: Joe Sweeney

eBook | 21 January 2026

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A tile pattern is a simple pattern that forms a larger pattern when "tiled." I came up with the term because I envisioned each simple pattern being imprinted on a tile, and the tiles laid out on a floor to create the larger pattern.

By using rotational and reflectional symmetry on the base pattern, I was able to generate a variety of patterns from the same base.

This is intended primarily as a picture book - something pretty to look at. I have included some technical explanations for those who might be interested.

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