deltoidal icositetrahedron

English

A deltoidal icositetrahedron

Noun

deltoidal icositetrahedron (plural deltoidal icositetrahedra or deltoidal icositetrahedrons)

1. (geometry) 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.
   • 1958, The Mathematical Gazette, volume 42, page 20:

     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.

   • 1994, Proceedings of the Ninth Quadrennial IAGOD Symposium, International Association on the Genesis of Ore Deposits, page 593:

     The mineral displays a well-developed habit of deltoidal icositetrahedra with dull faces.

   • 2012, Ivan Pasztor, Of All The Things I've Lost‎^[1], page 69:

     At the Olympus Mons Casino on Mar's they have craps games where the die are rhombic dodecahedron (12 sided), or tetrakis hexahedron (24 sides) or deltoidal icositetrahedron (24 sides). That's for your benefit, Gabby said to me.

Synonyms

• (polyhedron with 24 faces): trapezohedron (crystallography)