Octagonal antitegum

The octagonal antitegum or oat, also known as the octagonal trapezohedron, is an antitegum based on the octagon, constructed as the dual of an octagonal antiprism. It has 16 kites as faces, with 2 order–8 and 16 order–3 vertices. .

Each face of this polyhedron is a kite with its longer edges $$2+\sqrt2+\sqrt{\frac{10+7\sqrt2}{2}} ≈ 6.56854$$ times the length of its shorter edges.