Regular Whitney Decompositions

Year: 2019 Authors: Krystian Kazaniecki; Michał Wojciechowski

Core claim

Certain von Koch-type fractal domains admit regular Whitney decompositions with unusually simple combinatorial structure.

Topics

Whitney coverings, fractal domains, ornamental rugs, combinatorial structure

Domains

analysis, Sobolev Spaces, conformal mappings, textile design, ornamental patterns, color design

Methods

iterative fractal construction, Whitney decomposition, vicinity graph, tree recursion

Media

planar domains, geometric fractals, carpet

Source status

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