An Orthogonal Mate for a Latin Square Based on an Asymmetric Tile

Year: 2023 Authors: Stephen M. Gagola, Jr.

Core claim

A Latin square formed from the asymmetric tile has a proper autotopy group isomorphic to D8, and this structure yields an orthogonal mate.

Topics

Latin squares, orthogonal mates, autotopies, asymmetric tiling, orthomorphisms

Domains

combinatorial design theory, group theory, finite algebra, Latin square theory, mathematical art, tiling, puzzle design, generative pattern

Methods

symmetry analysis, group labeling, orthomorphism construction, coloring assignment

Media

asymmetric tile, colored transparent acrylic sheets, laser-cut puzzle

Source status

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