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Author:Don Hatch
Description: Hyperbolic tessellations shown in various stages of truncation, and represented by their Schlafli symbols. Java applets explore hyperbolic tessellations, a magic Rubik's-like cube in four dimensions, polygon reciprocation (dual), modern portfolio theory (mean variance analysis), hyperbolic splining, and recursive 2:1 mipmap generation filtration. Also, alternative formulations for the angle between unit vectors, slerp (spherical linear interpolation), qslerp (quaternion interpolation), and other expressions not numerically robust at small values.

Levels: College, Research
Languages: English
Resource Types: Web Interactive/Java
Math Topics: Higher-Dimensional Geometry, Triangles and Other Polygons, Hyperbolic Geometry, Symmetry/Tessellations

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