Finding the Dual of the Tetrahedral-Octahedral Space Filler

Year: 2003 Authors: Eva Knoll; Simon Morgan

Core claim

The dual of the tetrahedral-octahedral space-filling packing is the rhombic dodecahedron, revealed through a progression from square tilings to 3-D packings.

Topics

space-filling packings, duality, 2-D to 3-D correspondence, slicing and construction

Domains

tilings, polyhedra, duality, geometry, mathematical visualization, architecture, geometric design, education

Methods

stretching, truncation, slicing, checkerboard construction

Media

squares, tetrahedra, octahedra, rhombic dodecahedron

Source status

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