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3D model of a ditrigonal dodecadodecahedron. In geometry, the ditrigonal dodecadodecahedron (or ditrigonary dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U 41. It has 24 faces (12 pentagons and 12 pentagrams), 60 edges, and 20 vertices. [1] It has extended Schläfli symbol b{5, 5 ⁄ 2}, as a blended great dodecahedron, and ...
Duals of the ditrigonal polyhedra Small triambic icosahedron (Dual of small ditrigonal icosidodecahedron) — V(3. 5 / 2 .3. 5 / 2 .3. 5 / 2 ) Medial triambic icosahedron (Dual of ditrigonal dodecadodecahedron) — V(5. 5 / 3 .5. 5 / 3 .5. 5 / 3 ) Great triambic icosahedron (Dual of great ditrigonal ...
This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger. The book was written as a guide book to building polyhedra as physical models. It includes templates of face elements for construction and helpful hints in building, and also brief descriptions on the theory behind these shapes.
Model of the compound in a dodecahedron. The compound of five cubes is one of the five regular polyhedral compounds. It was first described by Edmund Hess in 1876. It is one of five regular compounds, and dual to the compound of five octahedra. It can be seen as a faceting of a regular dodecahedron. It is one of the stellations of the rhombic ...
The 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular hexahedron is a cube . Table of polyhedra
3D model of a dodecadodecahedron. In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U 36. [1] It is the rectification of the great dodecahedron (and that of its dual, the small stellated dodecahedron). It was discovered independently by Hess , Badoureau and Pitsch .
Ditrigonal (that is di(2) -tri(3)-ogonal) vertex figures are the 3-fold analog of a rectangle. These are all quasi-regular as all edges are isomorphic. The compound of 5-cubes shares the same set of edges and vertices.
3D model of a small ditrigonal dodecicosidodecahedron. In geometry, the small ditrigonal dodecicosidodecahedron (or small dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U 43. It has 44 faces (20 triangles, 12 pentagrams and 12 decagons), 120 edges, and 60 vertices. [1] Its vertex figure is a crossed quadrilateral.