Heptagonal antitegum

The heptagonal antitegum, or heate, also known as the heptagonal trapezohedron, is an antitegum based on the heptagon, constructed as the dual of a heptagonal antiprism. It has 14 kites as faces, with 2 order–7 and 14 order–3 vertices. .

Each face of this polyhedron is a kite with its longer edges $$\frac{2+4\cos\frac\pi7+\csc\frac{\pi}{14}}{2} ≈ 5.04892$$ times the length of its shorter edges.