The rhombic dodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic...

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

In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. As a Catalan...

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

approaches. This shape is also called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron. The snub disphenoid can...

crystallographic systems. They are the cube, hexagonal prism, rhombic dodecahedron, elongated dodecahedron, and truncated octahedron. Each parallelohedron is centrally...

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

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

orthobirotunda Elongated triangular orthobicupola Elongated triangular gyrobicupola Elongated square gyrobicupola Elongated pentagonal orthobicupola Elongated pentagonal...

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...

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

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

rhombic dodecahedron. The rhombicuboctahedron is an Archimedean solid, and its dual is a Catalan solid, the deltoidal icositetrahedron. The elongated square...

generally the parallelepiped), hexagonal prism, rhombic dodecahedron, elongated dodecahedron, and truncated octahedron. The triangular prism, the prototile...

faces meeting around each vertex. Its dual polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The...

J_{33}} , elongated pentagonal orthobicupola J 38 {\displaystyle J_{38}} , elongated pentagonal gyrobicupola J 39 {\displaystyle J_{39}} , elongated pentagonal...

with equilateral triangles. Examples can be found in snub cube and snub dodecahedron. The resulting construction of these solids gives the property of chirality...

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

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

Platonic solids, the cuboctahedron, the icosidodecahedron, and the rhombic dodecahedron. The rhombic triacontahedron is also interesting in that its vertices...

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

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

elongated pentagonal bipyramid J 16 {\displaystyle J_{16}} , an augmented dodecahedron J 58 {\displaystyle J_{58}} , a parabiaugmented dodecahedron J...

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

self-intersecting polyhedra are the small stellated dodecahedron and the great stellated dodecahedron, with twelve and twenty convex points respectively...

equilateral square pyramids are attached to the square faces, the elongated square pyramid and elongated square bipyramid respectively, the Johnson solid's examples...

results in the Bilinski dodecahedron, which is topologically equivalent but not congruent to the regular rhombic dodecahedron. Weisstein, Eric W. "Rhombic...

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

orthobicupola J 27 {\displaystyle J_{27}} , elongated triangular orthobicupola J 35 {\displaystyle J_{35}} , elongated triangular gyrobicupola J 36 {\displaystyle...