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Example of a radial tree, from a 1924 organization chart that emphasizes a central authority [1] A radial tree, or radial map, is a method of displaying a tree structure (e.g., a tree data structure) in a way that expands outwards, radially. It is one of many ways to visually display a tree, [2] [3] with examples dating back to the early 20th ...
Uniform polyhedra can be divided between convex forms with convex regular polygon faces and star forms. Star forms have either regular star polygon faces or vertex figures or both. This list includes these: all 75 nonprismatic uniform polyhedra; a few representatives of the infinite sets of prisms and antiprisms;
In the mathematical discipline of graph theory, a graph labeling is the assignment of labels, traditionally represented by integers, to edges and/or vertices of a graph. [1] Formally, given a graph G = (V, E), a vertex labeling is a function of V to a set of labels; a graph with such a function defined is called a vertex-labeled graph.
In geometry, a bigon, [1] digon, or a 2-gon, is a polygon with two sides and two vertices.Its construction is degenerate in a Euclidean plane because either the two sides would coincide or one or both would have to be curved; however, it can be easily visualised in elliptic space.
A chiliagram is a 1,000-sided star polygon. There are 199 regular forms [a] given by Schläfli symbols of the form {1000/n}, where n is an integer between 2 and 500 that is coprime to 1,000. There are also 300 regular star figures in the remaining cases. For example, the regular {1000/499} star polygon is constructed by 1000 nearly radial edges.
The following list of polygons, polyhedra and polytopes gives the names of various classes of polytopes and lists some specific examples. Polytope elements [ edit ]
Illustration of labeling of vertices on a five sided polygon, including the convention that vertex zero is the same as the last vertex. Date: 13 July 2009: Source: Own work: Author: Qef: Other versions: LabeledPolygon.png: SVG development
John Conway labels these by a letter and group order. [2] Full symmetry of the regular form is r26 and no symmetry is labeled a1 . The dihedral symmetries are divided depending on whether they pass through vertices ( d for diagonal) or edges ( p for perpendiculars), and i when reflection lines path through both edges and vertices.