Family of convex polyhedra with 4N congruent isosceles triangular faces, for all N>=3.
The solid is formed by an antiprism and two pyramids, and is inscribed into an unitary sphere.
For N=3 the polyhedron degenerates into a cube.
For N=5 the polyhedron is the platonic icosahedron.
For N-->oo the volume --> Pi.