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Answer for the clue "A polyhedron whose faces are trapeziums ", 13 letters:
trapezohedron

Word definitions for trapezohedron in dictionaries

Wikipedia Word definitions in Wikipedia
bgcolor=#e7dcc3 colspan=2|Set of trapezohedra align=center colspan=2| bgcolor=#e7dcc3| Conway notation bgcolor=#e7dcc3| Schläfli symbol bgcolor=#e7dcc3| Coxeter diagrams bgcolor=#e7dcc3|Faces bgcolor=#e7dcc3|Edges bgcolor=#e7dcc3|Vertices bgcolor=#e7dcc3| ...

Wiktionary Word definitions in Wiktionary
n. Any of several forms of crystal with trapezium as faces.

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Trisoctahedron \Tris*oc`ta*he"dron\, n. [Gr. ? thrice + FE. octahedron.] (Crystallog.) A solid of the isometric system bounded by twenty-four equal faces, three corresponding to each face of an octahedron. Tetragonal trisoctahedron , a trisoctahedron each ...

WordNet Word definitions in WordNet
n. a polyhedron whose faces are trapeziums [also: trapezohedra (pl)]

Usage examples of trapezohedron.

There are references to a Haunter of the Dark awaked by gazing into the Shining Trapezohedron, and insane conjectures about the black gulfs of chaos from which it was called.

Shining Trapezohedron he speaks often, calling it a window on all time and space, and tracing its history from the days it was fashioned on dark Yuggoth, before ever the Old Ones brought it to earth.

In writing of these things in his diary, Blake expresses a curious kind of remorse, and talks of the duty of burying the Shining Trapezohedron and of banishing what he had evoked by letting daylight into the hideous jutting spire.

He had created the original model of the starnow lostfrom a piece of material, known to some as the Shining Trapezohedron, which he claimed had originated in some outer dimension.

Dark metal ovoids and trapezohedrons of machinery, their exterior surfaces a solid lacework of pipes and conduits, rising to a crown of heat-dissipation fins or panels (a direct ancestry could be traced to the machinery on Tanjuntic-RI).