Relations between Golden Rhombic Solids and Some Archimedean Solids

This Demonstration shows relations between the Platonic and Archimedean solids: icosahedron, dodecahedron, icosidodecahedron, rhombicosidodecahedron, truncated dodecahedron, truncated icosahedron, great rhombicosidodecahedron, and certain golden rhombic solids. A golden rhombic solid is a solid whose faces are golden rhombi and solids that we get from golden rhombic solids by truncation of halves of rhombic dodecahedra of the second kind. The lengths of the edges of the Platonic or Archimedean solids equal the lengths of the shorter or larger diagonals of the golden rhombus.

References

[1] P. R. Cromwell, Polyhedra, New York: Cambridge University Press, 1997 pp. 79–85.

External Links

Dissection of Truncated Icosidodecahedron

Dissection of Three Polyhedra into Two

Dissection of Two Stellated Dodecahedra

Dissection of Three Rhombic Solids into an Icosahedron, a Dodecahedron, and an Icosidodecahedron

Dissection of a Rhombic 210-hedron into a Combination of Icosahedron and Truncated Dodecahedron

Another Dissection of Two Rhombic Solids into an Icosidodecahedron and a Rhombicosidodecahedron

Dissection of Two Rhombic Solids into an Icosidodecahedron and a Rhomb-Icosi-Dodecahedron

Permanent Citation

Izidor Hafner

"Relations between Golden Rhombic Solids and Some Archimedean Solids"
http://demonstrations.wolfram.com/RelationsBetweenGoldenRhombicSolidsAndSomeArchimedeanSolids/
Wolfram Demonstrations Project
Published: August 29, 2012