Folded Strips of Rhombuses, and a Plea for the Rhombus

Year: 2013 Authors: Tom Verhoeff; Koos Verhoeff

Core claim

A rhombus with aspect ratio is especially versatile because it folds into triangular beams that join cleanly into linked geometric structures without cutting.

Topics

rhombus folding, discrete helix, miter joints, space-filling structures

Domains

geometry, polyhedra, helix geometry, trigonometric ratio, mathematical art, geometric construction, architectural form, kinetic sculpture

Methods

geometric analysis, table of aspect ratios, physical construction, joint classification

Media

rhombus strips, Polydron, transparent beam models

Source status

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