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Common icosahedra with pyramid and prism symmetries include: 19-sided pyramid (plus 1 base = 20). 18-sided prism (plus 2 ends = 20). 9-sided antiprism (2 sets of 9 sides + 2 ends = 20). 10-sided bipyramid (2 sets of 10 sides = 20). 10-sided trapezohedron (2 sets of 10 sides = 20).
The 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular hexahedron is a cube . Table of polyhedra
In several roleplaying games, such as Dungeons & Dragons, the twenty-sided die (labeled as d20) is commonly used in determining success or failure of an action. It may be numbered from "0" to "9" twice, in which form it usually serves as a ten-sided die ( d10 ); most modern versions are labeled from "1" to "20". [ 24 ]
A right prism is a prism in which the joining edges and faces are perpendicular to the base faces. [5] This applies if and only if all the joining faces are rectangular. The dual of a right n-prism is a right n-bipyramid. A right prism (with rectangular sides) with regular n-gon bases has Schläfli symbol { }×{n}.
A polytope is a geometric object with flat sides, which exists in any general number of dimensions. ... Compound of twenty octahedra; ... 5-cell prism, Rectified 5 ...
Polygons named for their number of sides Monogon — 1 sided; Digon ... Compound of twenty octahedra with rotational freedom ... there is a prism of dimension n+1 ...
The names of tetrahedra, hexahedra, octahedra (8-sided polyhedra), dodecahedra (12-sided polyhedra), and icosahedra (20-sided polyhedra) are sometimes used without additional qualification to refer to the Platonic solids, and sometimes used to refer more generally to polyhedra with the given number of sides without any assumption of symmetry. [30]
An icosagram is a 20-sided star polygon, represented by symbol {20/n}. There are three regular forms given by Schläfli symbols : {20/3} , {20/7} , and {20/9} . There are also five regular star figures (compounds) using the same vertex arrangement : 2{10} , 4{5} , 5{4} , 2{10/3} , 4{5/2} , and 10{2} .