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. As a Catalan...

crystallographic systems: the cube, hexagonal prism, rhombic dodecahedron, elongated dodecahedron, and truncated octahedron. Each 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...

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

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

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...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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...

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

triangle faces. Like the rhombic dodecahedron itself, this shape can be used to tessellate three-dimensional space. An elongated form of this shape that still...

square faces. In that case, they are the construction of an elongated square pyramid and elongated square bipyramid respectively, the Johnson solid's examples...