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It can be constructed in different approaches. This shape is also called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron. The snub disphenoid can be visualized as an atom cluster surrounding a central atom, that is the dodecahedral molecular geometry.
Gyroelongated triangular bicupola; Gyroelongated triangular cupola; Hebesphenomegacorona; Metabiaugmented dodecahedron; Metabiaugmented hexagonal prism; Metabiaugmented truncated dodecahedron; Metabidiminished icosahedron; Metabidiminished rhombicosidodecahedron; Metabigyrate rhombicosidodecahedron; Metagyrate diminished rhombicosidodecahedron
The central region of the polyhedron is connected to the exterior via 20 small triangular holes. The name truncated dodecadodecahedron is somewhat misleading: truncation of the dodecadodecahedron would produce rectangular faces rather than squares, and the pentagram faces of the dodecadodecahedron would turn into truncated pentagrams rather ...
For example, {3} is an equilateral triangle, {4} is a square, {5} a convex regular pentagon, etc. Regular star polygons are not convex, and their Schläfli symbols {p / q} contain irreducible fractions p / q, where p is the number of vertices, and q is their turning number. Equivalently, {p / q} is created from the vertices of {p}, connected ...
As its name suggests, it is created by attaching three pentagonal cupolas (J 5) onto three nonadjacent decagonal faces of a truncated dodecahedron. A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or ...
The Wythoff symbol relates the polyhedron to spherical triangles. Wythoff symbols are written p|q r, p q|r, p q r| where the spherical triangle has angles π/p,π/q,π/r, the bar indicates the position of the vertices in relation to the triangle.
In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U 37. It has 24 faces (12 pentagrams and 12 decagons ), 90 edges, and 60 vertices. [ 1 ] It is given a Schläfli symbol t{5,5/2}.