"Unit Origami" is composed of modular origami units. Base polyhedra of above models are (from right to left) regular octahedron, regular icosahedron, and quasi-regular polyhedra (soccer ball).
A ring of eight regular icosahedrons can be made with the same units. However, eight icosahedrons cannot make a ring mathematically. This model is taking advantage of adaptability of paper to adjust some fudge factor.