Historically Speaking— A Geometry Capsule Concerning the Five Platonic Solids
A polyhedron is said to be “regular” if its faces are congruent regular polygons and its polyhedral angles are all congruent. While there are regular polygons of all orders, it is surprising that there are only five different regular polyhedra. These regular polyhedra have been named according to the number of faces each possesses. Thus there is the tetrahedron with four triangular faces, the hexahedron (cube) with six square faces, the octahedron with eight triangular faces, the dodecahedron with twelve pentagonal faces, and the icosahedron with twenty triangular faces. See the accompanying figure.
1966 ◽
Vol 18
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pp. 169-200
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Keyword(s):
2004 ◽
Vol 89
(516)
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pp. 409-416
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Keyword(s):
1906 ◽
Vol 41
(3)
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pp. 725-747
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Keyword(s):
2016 ◽
pp. 72-85
1883 ◽
Vol 34
(220-223)
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pp. 105-112