The Obtetrahedrille as a Modular Building Block for 3D Mathematical Art
Tom Verhoeff and Koos Verhoeff

Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages 407–410
Short Papers

Abstract

We explain how the obtetrahedrille can serve as a versatile building block for 3D structures. In particular, the obtetrahedrille can be used to construct triangular beams in the body-centered cubic lattice, and square beams in the simple cubic lattice. We present a language to describe structures composed from obtetrahedrilles. We show some sculptures that can be constructed from obtetrahedrilles. Finally, we discuss how to magnetize the obtetrahedrilles to allow simple experimentation.

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