deltoidal icositetrahedron

Noun

deltoidal icositetrahedron (plural deltoidal icositetrahedra or deltoidal icositetrahedrons)

1. A convex polyhedron that has 24 congruent kite-shaped faces and 48 edges and is a Catalan solid, being the dual polyhedron of the rhombicuboctahedron.
   • These correspond to the foregoing U- and F-vertices of the deltoidal icositetrahedron whose three-edged vertices are "completely truncated"; that is to say, the truncating planes pass through the three end points of the edges radiating from the truncated vertex.1958, The Mathematical Gazette, volume 42, page 20
   • The mineral displays a well-developed habit of deltoidal icositetrahedra with dull faces.1994, Proceedings of the Ninth Quadrennial IAGOD Symposium, International Association on the Genesis of Ore Deposits, page 593

   Synonyms:

   trapezohedron