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The Collaborative International Dictionary
Rhombohedron

Rhombohedron \Rhom`bo*he"dron\, n. [NL., fr. Gr. ??? rhomb + ??? seat, base.] (Geom. & Crystallog.) A solid contained by six rhomboids; a parallelopiped.

Wiktionary
rhombohedron

n. A prism with six faces, each a rhombus.

WordNet
rhombohedron

n. a parallelepiped bounded by six similar faces (either rhombuses or parallelograms)

Wikipedia
Rhombohedron

bgcolor=#e7dcc3 colspan=2|Rhombohedron

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bgcolor=#e7dcc3|Type

bgcolor=#e7dcc3|Faces

bgcolor=#e7dcc3|Edges

bgcolor=#e7dcc3|Vertices

bgcolor=#e7dcc3| Symmetry group

bgcolor=#e7dcc3|Properties

In geometry, a rhombohedron is a three-dimensional figure like a cube, except that its faces are not squares but rhombi. It is a special case of a parallelepiped where all edges are the same length. It can be used to define the rhombohedral lattice system, a honeycomb with rhombohedral cells.

In general the rhombohedron can have three types of rhombic faces in congruent opposite pairs, C symmetry, order 2.

Four points forming non-adjacent vertices of a rhombohedron necessarily form the four vertices of an orthocentric tetrahedron, and all orthocentric tetrahedra can be formed in this way.

Usage examples of "rhombohedron".

As in the other rhombohedral carbonates, the crystals possess perfect cleavages parallel to the faces of the rhombohedron.

Owing to the strong double refraction and the consequent wide separation of the two polarized rays of light traversing the crystal, an object viewed through a cleavage rhombohedron of Iceland-spar is seen double, hence the name doubly-refracting spar.

It was shaped like a rhombohedron, a slanted rectangle balanced on its narrow edge, and Janeway repressed a sudden grin.

One on her left was alive with drifting pyramids and rhombohedrons of oscillating, lambent energy, each a different color.

Each consisted of hexagonal rhombohedrons, the largest over three meters in length and almost half a meter in diameter.

But the surface of each of the larger jewels was fixed with a myriad of smaller rhombohedrons, and each of those with still smaller ones, in a kind of fractal dance.

One on her left was alive with drifting pyramids and rhombohedrons of oscillating, lambent energy, each a different color.