Faz Kreuzworträtsel Auflösung

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Icosahedral twinning also occurs in crystals, especially nanoparticles. Many borides and allotropes of boron contain boron B 12 icosahedron as a basic structure unit.

Icosahedral dice with twenty sides have been used since ancient times. This die is in the form of a regular icosahedron. It may be numbered from "0" to "9" twice in which form it usually serves as a ten-sided die, or d10 , but most modern versions are labeled from "1" to "20".

An icosahedron is the three-dimensional game board for Icosagame, formerly known as the Ico Crystal Game. An icosahedron is used in the board game Scattergories to choose a letter of the alphabet.

Six letters are omitted Q, U, V, X, Y, and Z. In the Nintendo 64 game Kirby The Crystal Shards , the boss Miracle Matter is a regular icosahedron.

Inside a Magic 8-Ball , various answers to yes—no questions are inscribed on a regular icosahedron. The American electronic music duo ODESZA use a regular icosahedron as their logo.

The skeleton of the icosahedron the vertices and edges forms a graph. It is one of 5 Platonic graphs , each a skeleton of its Platonic solid.

The high degree of symmetry of the polygon is replicated in the properties of this graph, which is distance-transitive and symmetric. The automorphism group has order The vertices can be colored with 4 colors, the edges with 5 colors, and the diameter is 3.

The icosahedral graph is Hamiltonian : there is a cycle containing all the vertices. It is also a planar graph. There are 4 related Johnson solids , including pentagonal faces with a subset of the 12 vertices.

The similar dissected regular icosahedron has 2 adjacent vertices diminished, leaving two trapezoidal faces, and a bifastigium has 2 opposite sets of vertices removed and 4 trapezoidal faces.

The pentagonal antiprism is formed by removing two opposite vertices. The icosahedron can be transformed by a truncation sequence into its dual , the dodecahedron:.

As a snub tetrahedron, and alternation of a truncated octahedron it also exists in the tetrahedral and octahedral symmetry families:.

The regular icosahedron, seen as a snub tetrahedron , is a member of a sequence of snubbed polyhedra and tilings with vertex figure 3.

It is one of four regular tessellations in the hyperbolic 3-space. From Wikipedia, the free encyclopedia. Redirected from Snub tetrahedron.

Platonic solid. Main article: Icosahedral symmetry. See also: d20 System. Michael Hogan. Encyclopedia of Earth. National Council for Science and the Environment.

Draggan and C. September 19, Archived from the original on August 16, Retrieved Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade.

Monohedron Dihedron Trihedron Tetrahedron Pentahedron Hexahedron Heptahedron Octahedron Enneahedron Decahedron. Hendecahedron Dodecahedron Tridecahedron Tetradecahedron Pentadecahedron Hexadecahedron Heptadecahedron Octadecahedron Enneadecahedron Icosahedron.

Convex polyhedra. Archimedean solids semiregular or uniform. Catalan solids duals of Archimedean. Fundamental convex regular and uniform polytopes in dimensions 2— Categories : Deltahedra Planar graphs Platonic solids.

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