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The highest symmetry irregular icosagons are d20, an isogonal icosagon constructed by ten mirrors which can alternate long and short edges, and p20, an isotoxal icosagon, constructed with equal edge lengths, but vertices alternating two different internal angles.
A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles. In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain.
Coxeter states that every zonogon (a 2m-gon whose opposite sides are parallel and of equal length) can be dissected into m(m-1)/2 parallelograms. [3] In particular this is true for regular polygons with evenly many sides, in which case the parallelograms are all rhombi.
65537-gon Archived 2023-01-05 at the Wayback Machine mathematik-olympiaden.de (German), with images of the documentation HERMES; retrieved on July 9, 2018; Wikibooks 65537-Eck (German) Approximate construction of the first side in two main steps
icosagon: 20 [21] icositrigon (or icosikaitrigon) 23: The simplest polygon such that the regular form cannot be constructed with neusis. [23] [22] icositetragon (or icosikaitetragon) 24 [21] icosipentagon (or icosikaipentagon) 25: The simplest polygon such that it is not known if the regular form can be constructed with neusis or not. [23] [22 ...
Regular polyhedron. Platonic solid: . Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron; Regular spherical polyhedron. Dihedron, Hosohedron; Kepler–Poinsot ...
The polytopes of rank 2 (2-polytopes) are called polygons.Regular polygons are equilateral and cyclic.A p-gonal regular polygon is represented by Schläfli symbol {p}.. Many sources only consider convex polygons, but star polygons, like the pentagram, when considered, can also be regular.
Apart from the two infinite series of prismatic and antiprismatic symmetry, rotational icosahedral symmetry or chiral icosahedral symmetry of chiral objects and full icosahedral symmetry or achiral icosahedral symmetry are the discrete point symmetries (or equivalently, symmetries on the sphere) with the largest symmetry groups.