Saddle Polyhedra

by DaveMakesStuff · Learning

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Saddle polyhedra have contoured saddle-shaped faces that allow for interesting 3D tilings. This collection contains a sample of saddle polyhedra that are interesting and well suited for 3D printing. It is not a complete set, and I would be happy to post links to others that are posted.

There doesn’t seem to be a lot of agreement on naming saddle polyhedra. The names used here are not necessarily the “official” ones, but you can dig a bit deeper with the links provided.

Adamantane: This four-sided shape is derived from the diamond net. It can also be formed by starting with a rhombic dodecahedron, selecting four triads of faces that share a vertex, and forming a saddle from the skew hexagon that bounds the triads. (http://rcsr.net/polyhedra/ada)

Double Adamantane: Two adamantane units stuck together. You can also make a saddle polyhedron by cutting an adamantane in half.

Rhombic Dodecahedron Cluster: Related to the adamantane polyhedral. Formed by starting with a cluster of

3D tiling Adamantane body centered cubic cellular chemistry contour crystal crystallography crystal structure cubic Lattice lattice structure minimal surface Network octahedron Parallelohedra polyhedra polyhedron rhombic dodecahedron saddle polyhedra saddle polyhedron space filling tiling topology Williams W2 Wurtzite