File:A nonconvex monohedral polyhedron of type 4 with 74 vertices, 72 faces and 144 edges.jpg

English: The picture shows a new nonconvex monohedral polyhedron of type 4. All faces have the same distance from the center of the body which has 74 vertices, 72 faces and 144 edges and exhibits dihedral D_9 symmetry. There are also convex examples of the same type. Polyhedra have fascinated the human mind since Egyptian and Greek antiquity. With their different degrees of regularity they still form a modern field of research in mathematics, on the other hand they captivate by their clear aesthetics and we marvel at their occurrence in inanimate and animate nature, e.g. in crystals, fullerenes or radiolarian shells. Here, architects and designers find an inexhaustible supply of new forms and a never-ending source of inspiration. The image was rendered in Blender and the polyhedron staged as a red ruby in an underwater scene with caustics. The pictures are part of the article "New families of monohedral polyhedra", submitted for publication in the "Journal of Mathematics and the Arts", in collaboration with Nina Hungerbühler and Marcel Pirron.