Claire Djang

This quasicrystal pattern arranged in a spherical formation is modeled with a set of six identical folded paper strips that are joined into loops. Each strip consists of a sequence of golden rhombi, separated by parallel mountain and valley folds. The loops overlap and are connected by tape such that corresponding folds in different strips reinforce one another to form a rigid structure. The polyhedron represented here is nonconvex but shares similarities with zonohedra. It has icosahedral symmetry, and can also be seen as the outer surface of a 3D quasicrystal packing of golden zonohedra.

Using the same method of construction as in the Icosahedral Quasicrystal Paper Sphere, this asymmetric sphere is also assembled with six folded paper strips. However, in this case, the strips are not identical, as the pattern of mountain and valley folds are different on each strip. The surface displayed here represents the outer surface of a 3D quasicrystal packing of golden rhombohedra. The object and the underlying packing behind it no longer have icosahedral symmetry.