Monday, January 09, 2012

Loci: A Gallery of Ray Tracing for Geometers

The crystalline state is the simplest known example of a quantum , a stable state of matter whose generic low-energy properties are determined by a higher organizing principle and nothing else. Robert Laughlin

Figure 10 with linked animation: Five-fold rotational symmetry of the dodecahedron

Modern expositors of mathematics, with computers and open source ray tracing software at their disposal, have the tools necessary to create vivid and effective geometric constructions in 3-space. With a little additional effort, animations can be generated, adding the fourth dimension of time. The web provides a viable medium for enhancing mathematical presentations with photo-realistic graphics and video. A Gallery of Ray Tracing for Geometers
See Also: Creating Photo-realistic Images and Animations

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