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. Every parallelohedron is a zonohedron...

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

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

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

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

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

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...

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

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

shape also has alternative names called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron. The applications of snub...

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

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

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

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...

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

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

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

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

J_{13}} , elongated pentagonal bipyramid J 16 {\displaystyle J_{16}} , augmented dodecahedron J 58 {\displaystyle J_{58}} , parabiaugmented dodecahedron J 59...

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

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

Two counterexamples to this are the small stellated dodecahedron and the great stellated dodecahedron, which have twelve convex points each with positive...

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

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

dimensions, the canonical polygonal pyramids and elongated pyramids, and tetrahedrally diminished dodecahedron. In 4 dimensions, the 24-cell, with Schläfli...