In geometry, the rectified truncated dodecahedron is a convex polyhedron, constructed as a rectified, truncated dodecahedron. It has 92 faces: 20 equilateral triangles, 60 isosceles triangles, and 12 decagons.
Topologically, the triangles corresponding to the dodecahedrons's vertices are always equilateral, although the decagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be isosceles instead.
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In geometry, the rectifiedtruncateddodecahedron is a convex polyhedron, constructed as a rectified, truncateddodecahedron. It has 92 faces: 20 equilateral...
down to points produces the great icosidodecahedron as a rectified great stellated dodecahedron. The process completes as a birectification, reducing the...
The icosidodecahedron is a rectifieddodecahedron and also a rectified icosahedron, existing as the full-edge truncation between these regular solids...
great dodecahedron produces a series of nonconvex uniform polyhedra. Truncating edges down to points produces the dodecadodecahedron as a rectified great...
are four rectified compact regular honeycombs: The truncated icosahedral honeycomb, t0,1{3,5,3}, , has alternating dodecahedron and truncated icosahedron...
removal. The regular dodecahedron is the third in an infinite set of truncated trapezohedra which can be constructed by truncating the two axial vertices...
also be constructed as a rectified rhombicuboctahedron. Expanded rhombic dodecahedronRectified rhombicuboctahedron Rectified small rhombicuboctahedron...
be constructed as a rectified rhombicosidodecahedron. Expanded rhombic triacontahedron Rectified rhombicosidodecahedron Rectified small rhombicosidodecahedron...
stellated dodecahedron. The truncated great stellated dodecahedron is a degenerate polyhedron, with 20 triangular faces from the truncated vertices, and...
a rectified great dodecahedron. It is center of a truncation sequence between a small stellated dodecahedron and great dodecahedron: The truncated small...
truncated octahedron, and a rhombic dodecahedron. The excavated truncated rhombicuboctahedron is a toroidal polyhedron, constructed from a truncated rhombicuboctahedron...
inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking...
all triangular faces to be equilateral. Truncated tetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons, and there are...
diagonals of its square sides. With Oh symmetry, order 48, it is a rectified cube or rectified octahedron (Norman Johnson) With Td symmetry, order 24, it is...
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