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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 ...
Models listed here can be cited as "Wenninger Model Number N", or W N for brevity. The polyhedra are grouped in 5 tables: Regular (1–5), Semiregular (6–18), regular star polyhedra (20–22,41), Stellations and compounds (19–66), and uniform star polyhedra (67–119).
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 ...
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.
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3D model of a great ditrigonal dodecicosidodecahedron. In geometry, the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U 42. It has 44 faces (20 triangles, 12 pentagons, and 12 decagrams), 120 edges, and 60 vertices. [1] Its vertex figure is an isosceles trapezoid.
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.
In geometry, the small ditrigonal icosidodecahedron (or small ditrigonary icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U 30. It has 32 faces (20 triangles and 12 pentagrams), 60 edges, and 20 vertices. [1] It has extended Schläfli symbol a{5,3}, as an altered dodecahedron, and Coxeter diagram or .