A Novel Line Fractal Pied de Poule (Houndstooth)

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In earlier work Loe Feijs and Marina Toeters proposed a fractal pied de poule inspired by Cantor’s dust, building on a mathematical analyis of the classical pied de poule pattern (fPDP). Now we propose another fractal pied de poule implemented as a single line.
We calculate the fractal dimension and develop a fashion item based on the new pattern, to be shown at Bridges, Baltimore USA. Download here the paper >>

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).
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