Crossword clues for trapezohedron
trapezohedron
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 face of which is a quadrilateral; called also trapezohedron and icositetrahedron.
Trigonal trisoctahedron, a trisoctahedron each face of which is an isosceles triangle.
Wiktionary
n. Any of several forms of crystal with trapezium as faces.
WordNet
n. a polyhedron whose faces are trapeziums
[also: trapezohedra (pl)]
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| Face configuration
bgcolor=#e7dcc3| Symmetry group
bgcolor=#e7dcc3| Rotation group
bgcolor=#e7dcc3| Dual polyhedron
bgcolor=#e7dcc3|Properties
The n-gonal trapezohedron, antidipyramid, antibipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism. Its 2n faces are congruent kites (also called trapezia or deltoids). The faces are symmetrically staggered.
The n-gon part of the name does not reference the faces here but arrangement of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces.
An n-gonal trapezohedron can be decomposed into two equal n-gonal pyramids and an n-gonal antiprism.
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).