In geometry, the elongated dodecahedron,[1]extended rhombic dodecahedron, rhombo-hexagonal dodecahedron[2] or hexarhombic dodecahedron[3] is a convex dodecahedron with 8 rhombic and 4 hexagonal faces. The hexagons can be made equilateral, or regular depending on the shape of the rhombi. It can be seen as constructed from a rhombic dodecahedron elongated by a square prism.
^Coxeter (1973) p.257
^Williamson (1979) p169
^Fedorov's five parallelohedra in R³
and 23 Related for: Elongated dodecahedron information
The rhombic dodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongateddodecahedron and trapezo-rhombic...
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. It is a Catalan...
crystallographic systems: the cube, hexagonal prism, rhombic dodecahedron, elongateddodecahedron, and truncated octahedron. Every parallelohedron is a zonohedron...
pairs to be space-filling. Elongated octahedron ElongateddodecahedronElongated square bipyramid Trapezo-rhombic dodecahedron Rich, Anthony (1875), "Fastigium"...
parallelohedra: any parallelepiped, as well as the rhombic dodecahedron, the elongateddodecahedron, the hexagonal prism and the truncated octahedron. The...
1969 proved that Johnson's list was complete. Of the Johnson solids, the elongated square gyrobicupola (J37), also called the pseudorhombicuboctahedron,...
faces meeting around each vertex. Its dual polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The...
shape also has alternative names called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron; these names mean the 12-sided...
cuboctahedral rhombus being his name for a rhombic dodecahedron. There are different truncations of a rhombic dodecahedron into a topological rhombicuboctahedron:...
In geometry, a diminished rhombic dodecahedron is a rhombic dodecahedron with one or more vertices removed. This article describes diminishing one 4-valence...
generally the parallelepiped), hexagonal prism, rhombic dodecahedron, elongateddodecahedron, and truncated octahedron. The triangular prism, the prototile...
(not counting the elongated square gyrobicupola; 15 if the mirror images of two enantiomorphs, the snub cube and snub dodecahedron, are counted separately)...
icosahedron, a rhombic triacontahedron, or a pentakis dodecahedron.[clarification needed] An elongated icosahedron is a common shape for the heads of bacteriophages...
inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking...
April 2011, Volume 52, Issue 1, pp 133–161. N. J. Bridge; "Faceting the Dodecahedron", Acta Crystallographica, Vol. A 30, Part 4 July 1974, Fig. 3c and accompanying...
the regular dodecahedron and icosahedron, and it is the largest face that an Archimedean solid can contain, as with the truncated dodecahedron and icosidodecahedron...
orthobicupola is the trapezo-rhombic dodecahedron. It has 6 rhombic and 6 trapezoidal faces, and is similar to the rhombic dodecahedron. The following formulae for...
Two counterexamples to this are the small stellated dodecahedron and the great stellated dodecahedron, which have twelve convex points each with positive...
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