Streptohedron

Streptohedron, a polyhedron that exhibits rotational symmetry (typically 90 degrees) but lacks mirror symmetry. This means that when rotated by a quarter turn, it retains its overall structure, yet it does not look the same when reflected.

This principle is evident in objects like a tennis ball or a basketball, where the stitching and surface design create a pattern that respects rotational symmetry but lacks perfect reflectional symmetry. Our geometric interest in this concept has shaped our design explorations, for example in projects like Binda for Louis Vuitton, where we experimented with Streptohedral forms to merge structure and fluidity. 

The Cosmic Table, also designed for Louis Vuitton, is based on a similar principle, but in this case, the rotation follows a 60-degree symmetry rather than 90 degrees. This exploration of rotational symmetry aligns with our ongoing fascination with geometric transformations, where functional objects become expressions of mathematical principles.