Fractal Tiling Illustrations of Geometric Series

Year: 2015 Authors: Lorelei Koss

Core claim

Fractal rep-n-tiles can be colored recursively to give visual proofs of geometric-series sums.

Topics

proof without words, geometric series, fractal tilings, visual proof

Domains

geometric series, self-affine tiles, expansive matrices, tiling theory, fractals, ornament, architecture, visualization

Methods

recursive subdivision, matrix-based construction, coloring scheme, inductive area argument

Media

computer graphics, fractal tile diagrams, colored illustrations

Source status

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