Unusual Tilings and Transformations

Year: 2011 Authors: Jouko Koskinen

Core claim

Simple move-and-turn operations on faces or edges can generate many classic solids from one another, while unusual modified polygons and polyhedra can fill 2D or 3D space.

Topics

polyhedral transformations, space-filling forms, aperiodic tilings, geometric construction

Domains

polyhedra, tilings, geometry, symmetry, geometric design, visualization, mathematical art

Methods

vertex modification, edge-based transformation, rotation and translation, tiling construction

Media

polyhedron models, paper figures, video

Source status

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