Started looking at more nets and came across this, the Truncated icosahedron. The net for a football!
So my idea was, think of each hex on the ball having a quicksilver design an being made up to create this funky looking aunamental object (possibly a lamp shade?)
This could be sold as a flat poster which could still look effective if not built. The user would buy this knowing that the sheet has some further purpose, interactive.
Related polyhedra
It shares its vertex arrangement with the truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great rhombicosidodecahedron (having the triangular and pentagrammic faces in common), and with the great rhombidodecahedron (having the decagrammic faces in common).
Nonconvex great rhombicosidodecahedron | Great dodecicosidodecahedron | Great rhombidodecahedron |
Truncated great dodecahedron | Compound of six pentagonal prisms | Compound of twelve pentagonal prisms |