Fractal Tilings Based on Dissections of Polyominoes

Year: 2006 Authors: Robert W. Fathauer

Core claim

Polyominoes with 2-fold or 4-fold symmetry can be dissected into prototiles that generate self-similar f-tilings, including edge-to-edge, pseudo-edge-to-edge, and plane-filling examples.

Topics

fractal tilings, polyomino dissections, rotational symmetry, fractal knots

Domains

tiling theory, geometry, symmetry, polyominoes, tessellation art, Celtic-knot-like graphics, visual pattern design, generative art

Methods

systematic candidate analysis, polyomino dissection, iterative self-similar construction, rotational matching rules

Media

polyomino shapes, fractal tile figures, graphical tile markings, page-based illustrations

Source status

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