The Metagyrate Diminished Rhombicosidodecahedron has 55 vertices,
52 faces and 105 edges. (A total of 7 polyhedra in our database have 52 faces) The Metagyrate Diminished Rhombicosidodecahedron contains 15 triangles, 25 quadrilaterals, 11 pentagons and 1 decagon.The Metagyrate Diminished Rhombicosidodecahedron is the 78th Johnson Solid.
