English: The picture shows a new nonconvex monohedral polyhedron of type 4. It has 26 vertices, 24 faces and 48 edges and exhibits a dihedral D_3 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. This particular polyhedron was set in scene as a burning lump of coal with glowing edges. The image was rendered in Blender. The picture is 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.

English: The picture shows a new nonconvex monohedral polyhedron of type 4. It has 26 vertices, 24 faces and 48 edges and exhibits a dihedral D_3 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. This particular polyhedron was set in scene as a burning lump of coal with glowing edges. The image was rendered in Blender. The picture is 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.