Inspired by a piece of artwork by Bente Simonsen at Bridges 2016, we were looking for various ways of making modular polyhedral toroids from the same basic nonahedron building block. Since the chosen building block cannot be an ideal, regular Johnson solid, we used greedy optimization methods, such as gradient descent, to minimize the variations of the edge lengths and the deviations from regular n-gons for the facets of the nonahedron, while maintaining the planarity of the connecting faces for each toroidal configuration. In general, we tried to maximize overall symmetry. Polyhedra with a genus as high as 11 have been constructed using a 3D printer.
Title
Modular Toroids Constructed from Nonahedra
Published
2017-05-31
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
EECS-2017-114
Type
Text
Extent
14 p
Archive
The Engineering Library
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