Torus and Klein Bottle Tessellations with a Single Tile of Pied de Poule (Houndstooth)

Year: 2018 Authors: Loe M.G. Feijs

Core claim

A one-tile Pied-de-poule tessellation can be realized as diffeomorphic torus and Klein bottle surfaces for 3D-printed art objects.

Topics

single-tile tessellation, 3D printing, torus, Klein bottle, fashion pattern

Domains

topology, diffeomorphism, tessellation theory, parametric surfaces, fashion pattern, textile design, 3D art, computational design

Methods

continuous deformation, parametric plotting, coordinate transformation, STL generation

Media

3D printed plastic, Mathematica, STL files, Pied-de-poule pattern

Source status

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