Deltoidal hexecontahedron
The Deltoidalhexakontaeder (also called Deltoidhexakontaeder ) is a convex polyhedron composed of 60 deltoids and is among the the Catalan bodies. It is dual to the rhombicosidodecahedron and has 62 vertices and 120 edges.
Formation
By connecting the midpoints of four edges that collide in each corner of the room Rhombenikosidodekaeders, creates a trapezium whose inscribed circle radius of the deltoids, the boundary surface of the Deltoidalhexakontaeders, is at the same time. In this particular type, all dihedral angles equal ( ≈ 154 ° ), and there is a uniform sphere radius edges.
Is the edge length of the Rhombenikosidodekaeders, the resulting lengths of the sides are represented by deltoids
The side lengths of the deltoids departure is thus the following relationship:
Related polyhedra
Inscribed dodecahedron
Inscribed icosahedron
Inscribed icosahedron