Snub Polyhedral Forms Constructed from Flexible 60-120 Degree Rhombic Tiles

David A. Reimann
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 443–444 Short Papers


We construct snub polyhedral forms using rhombi made from paper-backed wood veneer which are connected pairwise at corners using split-pin fasteners. Combining pairs of adjacent triangular faces into roughly 60°-120° rhombi result in polyhedron with even degree vertices. The flexibility of the materials allows the final closing of the object into a roughly spherical shape, despite eliminating the dihredral angle between the adjacent paired triangles. The open lattice construction yields elegant chiral symmetric forms with visual movement.