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

Year: 2024 Authors: Stephen M. Gagola, Jr.

Core claim

An arbitrary curved asymmetric tile can generate an 8 by 8 Latin square with an orthogonal mate.

Topics

Latin squares, orthogonal mates, asymmetric tiles, tile-based puzzles

Domains

combinatorics, finite algebra, orthomorphisms, Latin squares, mathematical art, tiling, pattern design, Escher-style construction

Methods

geometric tile construction, counting arguments, algebraic isotopy, color-based illustration

Media

curved tiles, colored puzzle pieces, Latin square diagrams

Source status

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