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Icosahedron


Icosahedra

The (general) icosahedron is a 20-faced polyhedron (where icos- derives from the Greek word for "twenty" and -hedron comes from the Indo-European word for "seat"). Examples illustrated above include the decagonal dipyramid, elongated triangular gyrobicupola (Johnson solid J_(36)), elongated triangular orthobicupola (J_(35)), gyroelongated triangular cupola (J_(22)), Jessen's orthogonal icosahedron, metabiaugmented dodecahedron (J_(60)), nonagonal antiprism, parabiaugmented dodecahedron (J_(59)), 18-gonal prism, 19-gonal pyramid, regular icosahedron, and rhombic icosahedron.

The regular icosahedron (often simply called "the" icosahedron) is the regular polyhedron and Platonic solid P_3 having 12 polyhedron vertices, 30 polyhedron edges, and 20 equivalent equilateral triangle faces, 20{3}.


See also

Regular Icosahedron Explore this topic in the MathWorld classroom

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Cite this as:

Weisstein, Eric W. "Icosahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Icosahedron.html

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