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The best known is the regular icosahedron one of the platonic solids whose faces are 20 equilateral triangles.
Icosahedron meaning math. There are infinitely many non similar shapes of icosahedra some of them being more symmetrical than others. Drons dra dɹə is any polyhedron having 20 faces but usually a regular icosahedron is implied which has equilateral triangles as faces. Five of these generate the dodecahedron and the icosahedron. Volume 5 3 5 12 edge length 3.
When it is regular side lengths are equal and angles are equal it is one of the platonic solids. It is called an icosahedron because it is a polyhedron that has 20 faces from greek icosa meaning 20 when we have more than one icosahedron they are called icosahedra. Vicenary vigesimal vigesimation icosahedron. At the centre of each face on an icosahedron the dodecahedron places a vertex and vice versa.
The surface area of an icosahedron is given by where a is the edge length of the icosahedron. Learn what is icosahedron. Also find the definition and meaning for various math words from this math dictionary. When we say icosahedron we often mean regular icosahedron in other words all faces are the same size and shape but it doesn t have to be this is also an icosahedron even though all faces are not the same.
The regular icosahedron is one of the five platonic solids. The plural can be either icosahedra or icosahedrons. The symmetry of a pentagonal dodecahedron or icosahedron is not among the symmetries of any crystal structure yet this. The icosahedron having twenty equilateral triangles as faces.
A polyhedron a flat sided solid object with 20 faces. It has 20 faces 30 edges and 12 vertices. As icosahedral symmetry because the icosahedron is the geometric dual of the pentagonal dodecahedron. In geometry an icosahedron greek.
Eikosaedron from eikosi twenty hedron seat. In geometry an icosahedron is a polyhedron with 20 faces. The name comes from ancient greek εἴκοσι meaning twenty and from ancient greek ἕδρα meaning seat. Surface area 5 3 edge length 2.
The florence specimen exhibited the symmetries of an icosahedron a soccer ball like atomic arrangement that can be viewed from 60 different angles without any change to the structure s overall orientation.
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