SuperCubeSphere is a study that extends Buckminster Fuller's Quanta Modules and Einar Thorstein's SuperCube. The geometry uses a cube built entirely from phi-tetrahedra ("Fang"); edge, area, and volume subdivisions follow the golden ratio. The project extends this system into spherical and complex polyhedral space. The analysis tracks phi-tetrahedra relationships and their arrangement in cube-based systems, then extends those principles into spherical and complex polyhedral forms while keeping golden-ratio consistency. Both standard and inverted configurations were examined; the phi-tetrahedra principles hold across orientations.
Research:
The investigation extends SuperCube (phi-tetrahedra in a cube) 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
