Dictionary

trapezohedron en · NOUN

Pronunciation

• (US) audio

Etymology

From trapezium + -hedron, with trapezium used in the US sense of a convex irregular quadrilateral.

Meanings

1. Any of a class of polyhedra that have kite-shaped faces and are dual polyhedra of antiprisms.
   • The general form is called the tetragonal trapezohedron. In this case also there are both left- (Fig. 97) and right-handed (Fig. 98) forms. 1969, Carl W. Correns, translated by William D. Johns, Introduction to Mineralogy: Crystallography and Petrology, 2nd edition, page 40:
   • This trapezohedron, or antidiamond, is composed of ten quadrilaterals. In each quadrilateral, three of the angles are 108° and one is 36°. 2002, John Montroll, A Plethora of Polyhedra in Origami, page 105:
2. A deltoidal icositetrahedron.
   • A trapezohedron has 24 equal faces, each a four-sided figure or trapezium. Unlike the forms already described, which are always the same, there are several different trapezohedrons, all having the same number of faces but differing in the angles between the faces. 1998, Cornelius S. Hurlbut Jr., W. Edwin Sharp, Dana's Minerals and How to Study Them (After Edward Salisbury Dana), page 23:

Forms

Deriveds

twelve-faced trapezohedron

Synonyms

strombic icositetrahedron (deltoidal icositetrahedron) · tetragonal icosikaitetrahedron (deltoidal icositetrahedron) · antibipyramid (polyhedron whose faces are kites) · tetragonal trisoctahedron (deltoidal icositetrahedron) · deltoidal icositetrahedron (deltoidal icositetrahedron) · deltohedron (polyhedron whose faces are kites) · antidipyramid (polyhedron whose faces are kites) · trapezoidal icositetrahedron (deltoidal icositetrahedron)

Translations (14)

pl wielościan z trapezoidów (polyhedron whose faces are kites) · ja ねじれ双角錐 (polyhedron whose faces are kites) · fr antidiamant (any of several forms of crystal with trapezia as faces) · eo trapezopluredro (polyhedron whose faces are kites) · fi trapetsoedri (polyhedron whose faces are kites) · ro trapezoedru (polyhedron whose faces are kites) · ru трапецоэдр (polyhedron whose faces are kites) · eo trapezoedro (polyhedron whose faces are kites) · eo kajtopluredro (any of several forms of crystal with trapezia as faces) · it trapezoedro (polyhedron whose faces are kites) · eo trapezoedro (any of several forms of crystal with trapezia as faces) · de Trapezoeder (polyhedron whose faces are kites) · eo kajtoedro (any of several forms of crystal with trapezia as faces) · eo trapezopluredro (any of several forms of crystal with trapezia as faces)