From Two Dimensions to Four – and Back Again

Year: 2012 Authors: Susan McBurney

Core claim

Higher-dimensional geometric forms can be translated into ornamental designs through projective representation and unfolding, especially using modern software.

Topics

4-D geometry, ornament design, geometric projection, dynamic software

Domains

dimensional geometry, polytopes, projective geometry, regular solids, architectural ornament, generative design, geometric pattern, visual composition

Methods

projective geometry, unfolding, reflection, dilation

Media

Geometer’s Sketchpad, paper figures, digital ornamentation

Source status

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