Spidronised Space-fillers

Year: 2009 Authors: Walt van Ballegooijen; Paul Gailiunas; Dániel Erdély

Core claim

A similarity-transformation construction can spidronise many saddle-polyhedron faces, producing space-filling forms with controlled clockwise and counter-clockwise matchings.

Topics

space-filling polyhedra, spidrons, saddle polyhedra, chiral matching, periodic networks

Domains

polyhedra, geometric tilings, three-dimensional periodic networks, symmetry, similarity transformations, geometric sculpture, generative form, mathematical art

Methods

spidron nest construction, triangulation, similarity transformation, space-filling classification, case analysis

Media

computer images, rapid prototypes, Excel tables, colored pictures, animations

Source status

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