Eight six-petalled flowers combine to form a truncated octahedron. Folded from a single square sheet, flowerballs combine floral tessellations with single-sheet polyhedra.

Six four-petalled flowers combine to form a cuboctahedron. Folded from a single square sheet, flowerballs combine floral tessellations with single-sheet polyhedra.

Six eight-petalled flowers combine to form a truncated cube. Folded from a single square sheet, flowerballs combine floral tessellations with single-sheet polyhedra.

Four six-petalled flowers combine to form a truncated tetrahedron. Folded from a single square sheet, flowerballs combine floral tessellations with single-sheet polyhedra.

Inspired by various floral modular polyhedra, I set out to make a single sheet flower-ball. It is the 3-D evolution of the FiveFold Flower. Folded from a ~15" (35cm) sheet of "Grainy" paper I got the Brian Webb's Origami Shop. This turned out to be a great, high-performance paper for a demanding model. Very workable and holds its shape very well. I didn't have to wetfold the piece.

The 3-D evolution of the Fourfold Flower forms the Flowercube.