Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons

Year: 2000 Authors: Robert W. Fathauer

Core claim

Regular-polygon segment prototiles generate two new self-similar tiling families with rich bounded forms, fractal boundaries, and 2-fold symmetry.

Topics

self-similar tilings, bounded plane tilings, fractal boundaries, Escher-like design

Domains

geometry, tiling theory, self-similarity, Euclidean plane, mathematical art, pattern design, tessellation, visual complexity

Methods

prototile construction, scaling and reduction, edge-to-edge assembly, perforation

Media

regular polygons, triangular prototiles, trapezoidal prototiles, bird motif

Source status

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