the elongated dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8...

The rhombic dodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron 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, elongated dodecahedron, and truncated octahedron. Every parallelohedron is a zonohedron...

In geometry, the trapezo-rhombic dodecahedron or rhombo-trapezoidal dodecahedron is a convex dodecahedron with 6 rhombic and 6 trapezoidal faces. It has...

Bravais lattice. For example, the cube, truncated octahedron, and rhombic dodecahedron have point symmetry Oh, since the respective Bravais lattices used to...

tiling Snub hexagonal tiling Elongated triangular tiling Regular polyhedron Platonic solid Tetrahedron Cube Octahedron Dodecahedron Icosahedron Kepler–Poinsot...

pairs to be space-filling. Elongated octahedron Elongated dodecahedron Elongated square bipyramid Trapezo-rhombic dodecahedron Rich, Anthony (1875), "Fastigium"...

parallelohedra: any parallelepiped, as well as the rhombic dodecahedron, the elongated dodecahedron, the hexagonal prism and the truncated octahedron. The...

concave polygons. These include a packing of the small stellated rhombic dodecahedron, as in the Yoshimoto Cube. Overlapping of cells whose positive and negative...

1969 proved that Johnson's list was complete. Of the Johnson solids, the elongated square gyrobicupola (J37), also called the pseudorhombicuboctahedron,...

hexagonal tiling Elongated triangular tiling Three-dimensional space Regular polyhedron Platonic solid: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron...

honeycomb. Orthobifastigium Edge-contracted icosahedron Elongated dodecahedron Elongated gyrobifastigium Convex Triamond Regular Polyhedra Williams, Robert...

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...

In geometry, a diminished rhombic dodecahedron is a rhombic dodecahedron with one or more vertices removed. This article describes diminishing one 4-valence...

number of lines that cross in the arrangement. For instance, the elongated dodecahedron shown is a zonohedron with five generators, two pairs of opposite...

cuboctahedral rhombus being his name for a rhombic dodecahedron. There are different truncations of a rhombic dodecahedron into a topological rhombicuboctahedron:...

generally the parallelepiped), hexagonal prism, rhombic dodecahedron, elongated dodecahedron, 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)...

The elongated alternated cubic honeycomb has the same arrangement of cells at each vertex, but the overall arrangement differs. In the elongated form...

Parallelohedra cube hexagonal prism rhombic dodecahedron elongated dodecahedron truncated octahedron...

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...

icosahedron, a rhombic triacontahedron, or a pentakis dodecahedron.[clarification needed] An elongated icosahedron is a common shape for the heads of bacteriophages...

the regular dodecahedron and icosahedron, and it is the largest face that an Archimedean solid can contain, as with the truncated dodecahedron and icosidodecahedron...

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...

of a hexagram. Elongated pyramid Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid Tetrahedrally diminished dodecahedron "Chestahedron...

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...

enneahedra are also found among the Johnson solids: the elongated square pyramid and the elongated triangular bipyramid. The three-dimensional associahedron...

bicupola Elongated triangular orthobicupola Elongated triangular gyrobicupola rhombocuboctohedron 19 20 Dodecahedron Pentagonal rotunda Elongated square...