Search results
Results from the WOW.Com Content Network
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 ...
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.
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.
3D model of a small ditrigonal icosidodecahedron. 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]
The rhombicosidodecahedron shares the vertex arrangement with the small stellated truncated dodecahedron, and with the uniform compounds of six or twelve pentagrammic prisms. The Zometool kits for making geodesic domes and other polyhedra use slotted balls as connectors. The balls are "expanded" rhombicosidodecahedra, with the squares replaced ...