snub disphenoid

Noun

snub disphenoid (plural snub disphenoids)

1. A non-regular convex polyhedron that has 12 equilateral triangles as faces and 18 edges and is a Johnson solid.
   • For the snub disphenoid, our existence proof used the intermediate value theorem in the real numbers to argue that as AB decreases and CD increases there is a point where they become equal.2005, Robin Hartshorne, Geometry: Euclid and Beyond, page 457
   • In this structure-type, the eight-coordinate polyhedra (snub disphenoids) share edges to form a framework composed of cross-linked chains that extend along the [100] and [010] directions.2006, Andrew J. Locock, “Chapter 6: Crystal chemistry of actinide phosphates and arsenates”, in Sergey Krivovichev, Peter Burns, Ivan Tananaev, editors, Structural Chemistry of Inorganic Actinide...

   Synonyms:

   Siamese dodecahedron, dodecadeltahedron