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 solid, and the dual polyhedron of the cuboctahedron.
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In geometry, the rhombicdodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. It is a Catalan...
symmetry. The rhombicdodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic...
solids, the cuboctahedron, the icosidodecahedron, and the rhombicdodecahedron. The rhombic triacontahedron is also interesting in that its vertices include...
face polygons. It resembles an augmented rhombicdodecahedron. Replacing each face of the rhombicdodecahedron with a flat pyramid creates a polyhedron...
elongated dodecahedron, extended rhombicdodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8 rhombic and...
the rhombicdodecahedron is a self-intersecting polyhedron with 12 faces, each of which is a non-convex hexagon. It is a stellation of the rhombic dodecahedron...
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at...
cube), hexagonal prism, truncated octahedron, rhombicdodecahedron, and the rhombo-hexagonal dodecahedron. Let { v 0 , v 1 , … } {\displaystyle \{v_{0}...
In geometry, a diminished rhombicdodecahedron is a rhombicdodecahedron with one or more vertices removed. This article describes diminishing one 4-valence...
the rhombic dodecahedron or the rhombic triacontahedron or the rhombic dodecahedral honeycomb or the rhombic icosahedron or the rhombic hexecontahedron...
with the obtuse rhombic face angles have 4 cells. The vertices with the acute rhombic face angles have 6 cells. The rhombicdodecahedron can be twisted...
same topology but a different geometry than the face-transitive rhombicdodecahedron. It is a parallelohedron. This shape appears in a 1752 book by John...
Additionally, two of the Catalan solids are edge-transitive: the rhombicdodecahedron and the rhombic triacontahedron. These are the duals of the two quasi-regular...
the faces of a second cube, a rhombicdodecahedron is obtained (with pairs of coplanar triangles combined into rhombic faces). Cubes appear in Abrahamic...
instead of rectangles. The rhombicdodecahedron is a convex polyhedron with 12 congruent rhombi as its faces. The rhombic triacontahedron is a convex...
crystallographic systems: the cube, hexagonal prism, rhombicdodecahedron, elongated dodecahedron, and truncated octahedron. Every parallelohedron is a...
symmetry. The sixty broad rhombic faces in the rhombic enneacontahedron are identical to those in the rhombicdodecahedron, with diagonals in a ratio...
puzzle. stellated rhombicdodecahedron 2×2×2 cube form of Yoshimoto Cube STL model of the first stellation of the rhombicdodecahedron decomposed into pyramids...
has a rhombic dodecahedral envelope. Two vertices of the tesseract are projected to the origin. There are exactly two ways of dissecting a rhombic dodecahedron...
edge-transitive. It is radially equilateral. Its dual polyhedron is the rhombicdodecahedron. The cuboctahedron was probably known to Plato: Heron's Definitiones...
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