Hyparhedra Revisited

Eve Torrence
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 343–346 Short Papers


In their 1999 Bridges paper, “Polyhedral Sculpture with Hyperbolic Paraboloids,” Erik Demaine, Martin Demaine, and Anna Lubiw discussed gluing together origami “hypars” to form structures they called “hyparhedra.” By experimenting with this method, I discovered that using a rhombic triacontahedron instead of a dodecahedron as the underlying polyhedron for the “hypar dodecahedron” results in a more symmetric model. The hypars are folded from rhombic paper instead of squares, with the size of the rhombic paper determined by experimentation. Three of the resulting structures, “Day,” “Night,” and “Pahoehoe,” were included in the Art Exhibits at the Bridges Conferences in 2015 and 2016 and “Day” won the Best of Show People’s Choice Award in 2015.