This is an extension of Buckminster Fuller's Quanta Modules and Einar Thorstein's SuperCube. The geometry is based in a cube, but constructed entirely from phi-tetrahedra ("Fang"); edge, area and volume subdivisions follow the golden ratio. The same phi-tetrahedra relations that enable the creation of cube-based arrangements extend into spherical and other complex polyhedral space, while retaining golden-ratio consistency. Both standard and inverted configurations were examined; the phi-tetrahedra principles hold across orientations.
Research:
SuperCube (phi-tetrahedra in a cube) extends into spherical and other polyhedral configurations. The same golden-ratio rules govern subdivisions in each case. Regular and inverted variants were built and compared for consistency of the underlying mathematics and for 3d-print feasibility.
Photography: Phillip C. Reiner
https://gallery.bridgesmathart.org/exhibitions/2017-bridges-conference/phillip
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