Math Monday: Quilted Geodesic Spheres

by George Hart

Anabeth Dollind made this assortment of quilted balls, based on tilings of the sphere. These first two are spherical versions of Platonic solids: the dodecahedron and icosahedron, with twelve pentagons and twenty triangles, respectively.
Next are a spherical version of the icosidodecahedron, which has twelve pentagons and twenty triangles combined, and its dual, the rhombic triacontahedron, which consists of thirty rhombi.
And here are a couple that incorporate squares, the rhombicuboctahedron and the truncated octahedron.
There’s no limit to the possible geometric designs and fabric combinations. You just need a needle, thread, scissors, fabric, and stuffing. Choose a design, cut out polygons with a common edge length, and hand-stitch the edges. See what you come up with!

This article first appeared on Make: Online, February 28, 2011.

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