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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 ...
It includes templates of face elements for construction and helpful hints in building, and also brief descriptions on the theory behind these shapes. It contains the 75 nonprismatic uniform polyhedra , as well as 44 stellated forms of the convex regular and quasiregular polyhedra.
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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 ...
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Dodecahedron; Icosahedron; Kepler–Poinsot polyhedron (regular star polyhedra) Great icosahedron; Small stellated dodecahedron; Great dodecahedron; Great stellated dodecahedron; Abstract regular polyhedra (Projective polyhedron) Hemicube; Hemi-octahedron; Hemi-dodecahedron; Hemi-icosahedron; Archimedean solid. Truncated tetrahedron ...
There are five uniform ditrigonal polyhedra, all with icosahedral symmetry. [1] The three uniform star polyhedron with Wythoff symbol of the form 3 | p q or 3 / 2 | p q are ditrigonal, at least if p and q are not 2. Each polyhedron includes two types of faces, being of triangles, pentagons, or pentagrams.
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.