Math is art.
The white rods are placed like the diagonals of an icosahedron. However, they are longer than the actual diagonals and are therefore bent into arcs. That is why they do not connect with each other. The edges of the icosahedron are formed by the green thread connecting the twelve ends of the rods to each neighbouring end. The bent rods are positioned in such a way that the midpoints of the arcs are equidistant from each neighbouring midpoint. The orange thread, which connects the midpoints of the arcs, forms the edges of the octahedron. The rods can be arranged in five different ways, which are rotations of each other.