Dual Geodesic Icosahedra

Dual Geodesic Icosahedra

The polyhedra on this page are the duals of geodesic icosahedra. They are sometimes called Goldberg polyhedra, after Michael Goldberg, who described them in 1937 [1].

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Dual Geodesic Icosahedron Pattern 1 [1,1]
(Truncated Icosahedron)

(Uniform #25)

Dual Geodesic Icosahedron Pattern 2 [2,0]
(Chamfered Dodecahedron)

Dual Geodesic Icosahedron Pattern 3 [2,1]
(Hexpropello Dodecahedron)

Dual Geodesic Icosahedron Pattern 4 [3,0]
(Truncated Pentakis Dodecahedron)

Dual Geodesic Icosahedron Pattern 5 [2,2]
(Truncated Pentakis Icosidodecahedron)

Dual Geodesic Icosahedron Pattern 6 [3,1]

Dual Geodesic Icosahedron Pattern 7 [4,0]

Dual Geodesic Icosahedron Pattern 8 [3,2]

Dual Geodesic Icosahedron Pattern 9 [4,1]

Dual Geodesic Icosahedron Pattern 10 [5,0]

Dual Geodesic Icosahedron Pattern 11 [3,3]

Dual Geodesic Icosahedron Pattern 12 [4,2]

Dual Geodesic Icosahedron Pattern 13 [5,1]

Dual Geodesic Icosahedron Pattern 14 [6,0]

Dual Geodesic Icosahedron Pattern 15 [4,3]

References:

[1]

Michael Goldberg, A Class of Multi-Symmetric Polyhedra, Tohoku Mathematical Journal 43 (1937), 104-108.