Rotational Compounds – Phillip C. Reiner, 2016

A sculptural piece of art composed of interconnected cubes.

The Rotational Compounds study investigates polyhedral forms created by combining regular symmetry group polyhedra with rotational symmetry polyhedra. The research examines how these two different symmetry types interact when united into compound structures. Regular symmetry polyhedra follow conventional symmetry operations, while rotational symmetry polyhedra organize through rotational transformations. Creating compounds from both types generates geometric configurations where different symmetry principles coexist within a single structure. The investigation explores which combinations produce coherent compounds and how the intersection of regular and rotational symmetries affects the resulting geometric properties. The overlapping volumes reveal spatial relationships that emerge when different symmetry systems occupy the same space.

Photography: Phillip C. Reiner

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