Definition of Hosohedra. Meaning of Hosohedra. Synonyms of Hosohedra

- } and admits a new infinite class of regular polyhedra, which are the hosohedra. On a spherical surface, the polyhedron {2, n} is represented as n abutting...
- ball, thought of as a hosohedron. Some "improper" polyhedra, such as hosohedra and their duals, dihedra, exist as spherical polyhedra, but their flat-faced...
- dihedra. Their duals are the dipole graphs, which form the skeletons of the hosohedra. A directed cycle graph is a directed version of a cycle graph, with all...
- lune individually has cyclic symmetry C2v, [2], (*22) of order 4. Each hosohedra can be divided by an equatorial bisector into two equal spherical triangles...
- tilings provide two infinite additional sets of regular tilings, the hosohedra, {2,n} with 2 vertices at the poles, and lune faces, and the dual dihedra...
- dihedra and the hosohedra, the first having only two faces, and the second only two vertices. The truncation of the regular hosohedra creates the prisms...
- In mathematics, an abstract polytope is an algebraic partially ordered set which captures the dyadic property of a traditional polytope without specifying...
- subgroups. The symmetry group Dnh contains inversion iff n is even. The hosohedra and dihedra also possess dihedral symmetry, and an n-gonal prism can be...
- process is not always possible; some spherical polyhedra (such as the hosohedra) have no flat-faced analogue. If faces are allowed to be concave as well...
- exist that would otherwise be degenerate as polytopes. These are the hosohedra {2,n} and their dual dihedra {n,2}. Coxeter calls these cases "improper"...