Web37 rows · In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry … WebTools. A hexahedron (plural: hexahedra) is any polyhedron with six faces. A cube, for example, is a regular hexahedron with all its faces square, and three squares around each …
Category:Polyhedra - Wikimedia Commons
Web正多邊形多面體或稱正多邊形面多面體（Regular-faced Polyhedron）是指所有面都是正多邊形的多面體。 [18] 在三維空間中，所有面都是正多邊形不一定能滿足正多面體的定義，例如92種 詹森多面體 雖然所有面都是正多邊形但都不是正多面體。 In geometry, a polyhedron (plural polyhedra or polyhedrons; from Greek πολύ (poly-) 'many', and εδρον (-hedron) 'base, seat') is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. A convex polyhedron is the convex hull of finitely many points, not all on the same … See more Convex polyhedra are well-defined, with several equivalent standard definitions. However, the formal mathematical definition of polyhedra that are not required to be convex has been problematic. Many … See more A three-dimensional solid is a convex set if it contains every line segment connecting two of its points. A convex polyhedron is a polyhedron that, as a solid, forms a convex set. A convex … See more Polyhedra with regular faces Besides the regular and uniform polyhedra, there are some other classes which have regular faces but lower overall symmetry. Equal regular faces See more From the latter half of the twentieth century, various mathematical constructs have been found to have properties also present in traditional polyhedra. Rather than confining the … See more Number of faces Polyhedra may be classified and are often named according to the number of faces. The naming system is based on Classical Greek, and combines a prefix counting the faces with the suffix "hedron", meaning "base" or "seat" and … See more Many of the most studied polyhedra are highly symmetrical, that is, their appearance is unchanged by some reflection or rotation of space. Each such symmetry may … See more The name 'polyhedron' has come to be used for a variety of objects having similar structural properties to traditional polyhedra. Apeirohedra A classical polyhedral surface has a finite number of faces, … See more graph paper with light lines
Liste over ensartet polyedre etter toppunktfigur - List of uniform ...
WebUniform_polyhedron-43-t01.png: Tomruen at en.wikipedia derivative work: Trex2001 ( talk ) This is a retouched picture , which means that it has been digitally altered from its original version. WebMar 24, 2024 · A polyhedron is said to be regular if its faces and vertex figures are regular (not necessarily convex) polygons (Coxeter 1973, p. 16). Using this definition, there are a total of nine regular polyhedra, five being the convex Platonic solids and four being the concave (stellated) Kepler-Poinsot solids. However, the term "regular polyhedra" is … WebIn geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U 67. It has 62 faces (20 triangles, 30 squares and 12 pentagrams ), 120 edges, and 60 vertices. [1] It is also called the quasirhombicosidodecahedron. It is given a Schläfli symbol rr { 5⁄3 ,3}. Its vertex figure is a crossed quadrilateral . chiss battleship