Tuesday, March 19, 2013

Geometric stellation

stellation locates an ordered array of intersections

The geometric transformation of stellation (Wikipedia): "Stellation is a process of constructing new polygons (in two dimensions), new polyhedra in three dimensions, or, in general, new polytopes in n dimensions. The process consists of extending elements such as edges or face planes, usually in a symmetrical way, until they meet each other again. The new figure is a stellation of the original."

Net (relational diagram) of such a process can be projected or translated between dimensions, e.g. from 3D to 2D.

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