In geometry, a disdyakis dodecahedron, (also hexoctahedron, hexakis octahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan...

In geometry, a disdyakis triacontahedron, hexakis icosahedron, decakis dodecahedron or kisrhombic triacontahedron is a Catalan solid with 120 faces and...

In geometry, a dodecahedron (from Ancient Greek δωδεκάεδρον (dōdekáedron); from δώδεκα (dṓdeka) 'twelve' and ἕδρα (hédra) 'base, seat, face') or duodecahedron...

In geometry, the great disdyakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great truncated cuboctahedron. It has...

dyakis dodecahedron can be constructed by enlarging 24 of the 48 faces of the disdyakis dodecahedron and is inscribed in the dyakis dodecahedron,[page needed]...

dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal...

dyakis dodecahedron or diploid. It is common in crystallography. A dyakis dodecahedron can be created by enlarging 24 of the 48 faces of a disdyakis dodecahedron...

order 2,3,n mirrors at each triangle face vertex. Disdyakis triacontahedron Disdyakis dodecahedron Kisrhombille tiling Compound of three octahedra Deltoidal...

surface). ax + by + cz = 1 gives a polyhedron with 48 faces, e.g. the disdyakis dodecahedron. Faces are 8-by-8 combined to larger faces for a = b = 0 (cube)...

dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal...

dice simultaneously. Note that this design is not isohedral. 48 Disdyakis dodecahedron Each face is a scalene triangle. 50 Icosipentagonal trapezohedron...

innermost to the outermost: regular octahedron, regular icosahedron, regular dodecahedron, regular tetrahedron, and cube. The cube can appear in the construction...

dodecahedron is a self-intersecting polyhedron with 12 faces, each of which is a non-convex hexagon. It is a stellation of the rhombic dodecahedron and...

Additionally, two of the Catalan solids are edge-transitive: the rhombic dodecahedron and the rhombic triacontahedron. These are the duals of the two quasi-regular...

triakis octahedron, tetrakis hexahedron, disdyakis dodecahedron, triakis icosahedron, pentakis dodecahedron, disdyakis triacontahedron Simplicial tilings:...

Rhombic dodecahedron jC = jO = oT Triakis octahedron kO Tetrakis hexahedron kC = mT Deltoidal icositetrahedron oC = oO Disdyakis dodecahedron mC = mO...

regular octahedron, is the disdyakis dodecahedron. The degree-6, degree-4, and degree-8 vertices of the disdyakis dodecahedron correspond to the vertices...

cube, octahedron, rhombicosidodecahedron, tetrakis hexahedron, or disdyakis dodecahedron. The crystals can have rounded-off and unexpressive edges and can...

instance, the disdyakis dodecahedron is the Kleetope of the rhombic dodecahedron, formed by replacing each rhombus face of the dodecahedron with a rhombic...

deltoidal icositetrahedron Oh, [4,3], (*432) 48 48 V4.6.8 Catalan disdyakis dodecahedron Oh, [4,3], (*432) 48 24 V34.4 Catalan pentagonal icositetrahedron...

projected onto a sphere. Nine great circles represent the edges of a disdyakis dodecahedron, the dual of a truncated cuboctahedron. Four more great circles...

diagram: . There are 48 triangles, visible in the faces of the disdyakis dodecahedron, and in the alternately colored triangles on a sphere: The icosahedral...

References U11, C23, W15 Properties Semiregular convex zonohedron Colored faces 4.6.8 (Vertex figure) Disdyakis dodecahedron (dual polyhedron) Net...

disdyakis dodecahedron 2 3 4| 4.6.8 Oh U11 K16 48 72 26 12{4} + 8{6} + 6{8} 16 Truncated icosidodecahedron (Great rhombicosidodecahedron) disdyakis triacontahedron...

Catalan solid, the disdyakis dodecahedron, with much taller rhombus-based pyramids joined to each face of a rhombic dodecahedron. Each bow-tie has two...

Examples of other polyhedra with icosahedral symmetry include the regular dodecahedron (the dual of the icosahedron) and the rhombic triacontahedron. Every...

of (±(√2−1), ±1, ±(√2+1)) The tetradyakis hexahedron (or great disdyakis dodecahedron) is a nonconvex isohedral polyhedron. It has 48 intersecting scalene...

rhombitruncated icosidodecahedron, great rhombicosidodecahedron, omnitruncated dodecahedron or omnitruncated icosahedron is an Archimedean solid, one of thirteen...

Symmetry group Oh, [4,3], *432 Index references U20, C67, W93 Dual polyhedron Great disdyakis dodecahedron Vertex figure 4.6/5.8/3 Bowers acronym Quitco...

polyhedron is topologically identical to the disdyakis dodecahedron, which can be seen as rhombic dodecahedron with shorter pyramids on the rhombic faces...