A Novel Line Fractal Pied de Poule (Houndstooth)

Loe M.G. Feijs and Marina Toeters
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 223–230 Regular Papers

Abstract

In earlier work we proposed a fractal pied de poule inspired by Cantor's dust, building on a mathematical analyis of the classical pied de poule pattern. Now we propose another fractal pied de poule implemented as a single line. Instead of blocks which get fragmented into smaller and smaller blocks, we begin with a single continuous line which is expanded by adding more and more nested zigzags. Although the former approach takes a two-dimensional starting point and the latter a one-dimensional starting point, the resulting fractal dimensions are comparable (also depending on the type of the original pied de poule being fractalised). We calculate the fractal dimension and develop a fashion item based on the new pattern, to be shown at Bridges.

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