Stellated rhombic dodecahedral honeycomb information
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A partial honeycomb of stellated rhombic dodecahedral cells.
The stellated rhombic dodecahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of copies of stellated rhombic dodecahedron cells.[1] Six stellated rhombic dodecahedra meet at each vertex. This honeycomb is cell-transitive, edge-transitive and vertex-transitive.
^Ioana Mihăilă. "Tessellations from Group Actions and the Mystery of Escher's Solid". Retrieved 2013-05-09.[dead link] Alt URL
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stellatedrhombicdodecahedralhoneycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of copies of stellatedrhombic dodecahedron...
solid can tessellate space to form the stellatedrhombicdodecahedralhoneycomb. The first stellation of the rhombic dodecahedron has 12 faces, each of which...
centered cubic (bcc) crystals. Some minerals such as garnet form a rhombicdodecahedral crystal habit. As Johannes Kepler noted in his 1611 book on snowflakes...
the small stellated dodecahedron {5/2, 5}, the great dodecahedron {5, 5/2}, and the great stellated dodecahedron {5/2, 3}. The small stellated dodecahedron...
continue for odd m < 7 as polyhedra: when m = 5, we obtain the small stellated dodecahedron and great dodecahedron, and when m = 3, the case degenerates...
achieved by putting a rhombicuboctahedron in each cell of the rhombicdodecahedralhoneycomb, and it cannot be surpassed, since otherwise the optimal packing...
cases include the Euclidean cubic honeycomb {4,3,4} with cubic cells, and compact hyperbolic {5,3,4} with dodecahedral cells, and paracompact {6,3,4} with...
The small stellateddodecahedral (or great dodecahedral) dual compound has the great dodecahedron completely interior to the small stellated dodecahedron...
dual to each other. The small stellated dodecahedron and great dodecahedron are dual to each other. The great stellated dodecahedron and great icosahedron...
24-cells fit inside a small stellated 120-cell, the first stellation of the 120-cell. A subset of the vertices of the small stellated 120-cell are matched by...
120-cell ({5,5/2,5}) and grand stellated 120-cell ({5/2,5,5/2}) in 4 dimensions. All regular n-dimensional cubic honeycombs, {4,3,...,3,4}. These may be...
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