Ornametnal Polyhedra

Cubeoctahedron with 9-pointed stars at the centers of the triangular faces, 12-pointed stars at the centers of the square faces, and 8-pointed stars at the vertices.

Cubeoctahedron with 9-pointed stars at the centers of the triangular faces, 12-pointed stars at the centers of the square faces, and 8-pointed stars at the vertices.

Great Rhombicuboctahedron with 4-pointed stars at the centers of the square faces, 6-pointed stars<br>at the centers of the hexagonal faces, and 8-pointed stars at centers of the octagonal faces.

Great Rhombicuboctahedron with 4-pointed stars at the centers of the square faces, 6-pointed stars
at the centers of the hexagonal faces, and 8-pointed stars at centers of the octagonal faces.

Sunb Cube with 8-pointed stars at the centers of the square faces, and 11-pointed stars at the vertices.

Sunb Cube with 8-pointed stars at the centers of the square faces, and 11-pointed stars at the vertices.

Sunb Cube with 11-pointed stars at the vertices.

Sunb Cube with 11-pointed stars at the vertices.

Icosadodecahedron with 9-pointed stars at the centers of the triangular faces, and 10-pointed stars at the centers of the pentagonal faces.

Icosadodecahedron with 9-pointed stars at the centers of the triangular faces, and 10-pointed stars at the centers of the pentagonal faces.

The full set of five Platonic and 13 Archimedean ornamental polyhedra from the GeoBalls product manufactured by Image Mission, Inc. in Japan.

The full set of five Platonic and 13 Archimedean ornamental polyhedra from the GeoBalls product manufactured by Image Mission, Inc. in Japan.

Ornamental Polyhedra

A group of Archimedean Polyhedra ornamented with Islamic geometric patterns. These paper models were the result of an on-going fascination with the application of Islamic patterns to spherical geometry. This is an area with little historical precedent, but great creative potential. Eventually, the work in this field lead to the creation of a product that was originally sold under the name of Geodazzlers, but is now manufactured under the name of Geoballs. This product includes pre-cut and pre-creased printed-paper patterns for making ornamental versions of all five of the Platonic solids, and all 13 of the Archimedean solids. This product is currently manufactured by Image Mission in Japan – a geometry-based educational toy company. An explanatory booklet covering the historical link between Islamic geometric design and polyhedral geometry accompanies the paper models. These can be ordered from the Image Mission, Inc. web site.

Concept, design, and cutting patterns by Jay Bonner.