Bonnet's surface

Bonnet's surface is a type of mathematically-defined shape, specifically a minimal surface, meaning it has zero overall surface area when balanced against its boundary edges. Discovered by mathematician Antoine Bonnet in the 19th century, it exhibits unique symmetry and smooth, flowing curves. These surfaces are studied for their aesthetic properties and mathematical interest in geometry and calculus, often resembling elegant, undulating forms. They can be imagined as soap films spanning wireframes, naturally adopting shapes that minimize surface area. Bonnet's surface demonstrates the beauty of geometry and the principles of mathematical optimization in physical and abstract forms.