Icosidodécaèdre

A icosidodécaèdre is a Polyèdre has twenty triangular faces and twelve pentagonal faces. A icosidodécaèdre has thirty identical tops, where two triangles and two pentagons meet, and 60 identical edges which separate a triangle from a pentagon. As such, it is a Solide of Archimedes and more particularly, a quasi-regular polyhedron.

A icosidodécaèdre has an icosahedral symmetry, and its first Stellation is the compound of a Dodécaèdre and of its dual, the Icosaèdre, with summon icosahedron located in the mediums of the edges of the dodecahedron. The canonical coordinates for the tops of a icosidodécaèdre are the circular shifts of (0,0, ±τ), (±1/2, ±τ/2, ± (1+τ) /2), where τ is the Golden section, (1+√5) /2. Its dual Polyèdre is the rhombic Triacontaèdre. A icosidodécaèdre can be divided along several plans to form pentagonal rotundas, which appear among the solid of Johnson.

In the standard nomenclature used for the solid of Johnson, a icosidodécaèdre would be called a pentagonal gyrobirotonde .

Polyhedrons connected

The icosidodécaèdre is a Dodécaèdre rectified and also a rectified Icosaèdre, existing in complete truncation by the edge between these various regular solids.

See too

  • the Cuboctaèdre
  • the Dodecahedron
  • the Large icosidodécaèdre truncated
  • the Icosahedral
  • the Small rhombicosidodécaèdre
  • the Large rhombicosidodécaèdre
  • the Icosidodécaèdre truncated

References

  • Robert Williams, The Geometrical Foundation off Natural Structure: With Book Source off Design, 1979, ISBN 0-486-23729-X

External bonds

  • uniform polyhedrons
  • polyhedrons actually virtual the encyclopedia of the Polyhedrons

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