trapezohedron

== English == === Etymology === From trapezium +‎ -hedron, with trapezium used in the US sense of a convex irregular quadrilateral. === Pronunciation === === Noun === trapezohedron (plural trapezohedra or trapezohedrons) (geometry, crystallography) Any of a class of polyhedra that have kite-shaped faces and are dual polyhedra of antiprisms. (crystallography) A deltoidal icositetrahedron. ==== Usage notes ==== In crystallography, trapezohedron usually refers to the second (deltoidal icositetrahedron) sense, although crystals exist in both shapes. ==== Synonyms ==== (polyhedron whose faces are kites): antibipyramid, antidipyramid, deltohedron (deltoidal icositetrahedron): deltoidal icositetrahedron, strombic icositetrahedron, tetragonal icosikaitetrahedron, tetragonal trisoctahedron, trapezoidal icositetrahedron ==== Derived terms ==== twelve-faced trapezohedron ==== Translations ==== === Further reading === Trapezohedron on Wolfram MathWorld