Geodesic Rhombic Triacontahedra

Geodesic Rhombic Triacontahedra

For these pages, a "geodesic rhombic triacontahedron" is a polyhedron derived from a Rhombic Triacontahedron by subdividing each face into smaller faces using an appropriately shear-mapped square grid, and then applying a canonicalization algorithm [1] to make the result more spherical. The procedure is analogous to the way a geodesic cube is derived from a cube.

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Geodesic Rhombic Triacontahedron Pattern 1 [1,1] (Deltoidal Hexecontahedron)	Geodesic Rhombic Triacontahedron Pattern 2 [2,0]	Geodesic Rhombic Triacontahedron Pattern 3 [2,1]
Geodesic Rhombic Triacontahedron Pattern 4 [2,2]	Geodesic Rhombic Triacontahedron Pattern 5 [3,0]	Geodesic Rhombic Triacontahedron Pattern 6 [3,1]
Geodesic Rhombic Triacontahedron Pattern 7 [3,2]	Geodesic Rhombic Triacontahedron Pattern 8 [4,0]	Geodesic Rhombic Triacontahedron Pattern 9 [4,1]
Geodesic Rhombic Triacontahedron Pattern 10 [3,3]	Geodesic Rhombic Triacontahedron Pattern 11 [4,2]	Geodesic Rhombic Triacontahedron Pattern 12 [5,0]
Geodesic Rhombic Triacontahedron Pattern 13 [4,3]	Geodesic Rhombic Triacontahedron Pattern 14 [5,1]	Geodesic Rhombic Triacontahedron Pattern 15 [5,2]

References:

[1]

Canonical Polyhedra (George Hart)