English: The picture shows a new convex monohedral polyhedron of type 4 with an insphere, 18 vertices, 16 faces and 32 edges. Its measures contain the golden ratio, its square and its root. The polyhedron has dihedral D_2 symmetry. 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 as an amber model of the polyhedron, illuminated by a candle. 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 convex monohedral polyhedron of type 4 with an insphere, 18 vertices, 16 faces and 32 edges. Its measures contain the golden ratio, its square and its root. The polyhedron has dihedral D_2 symmetry. 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 as an amber model of the polyhedron, illuminated by a candle. 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.