Neha Patil (Editor)

Expanded icosidodecahedron

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Expanded icosidodecahedron

The expanded icosidodecahedron is a polyhedron, constructed as a expanded icosidodecahedron. It has 122 faces: 20 triangles, 60 squares, 12 pentagons, and 30 rhombs. The 120 vertices exist at two sets of 60, with a slightly different distance from its center.

Contents

It can also be constructed as a rectified rhombicosidodecahedron.

Other names

  • Expanded rhombic triacontahedron
  • Rectified rhombicosidodecahedron
  • Rectified small rhombicosidodecahedron
  • Rhombirhombicosidodecahedron
  • Expansion

    The expansion operation from the rhombic triacontahedron can be seen in this animation:

    Dissection

    This polyhedron can be dissected into a central rhombic triacontahedron surrounded by: 30 rhombic prisms, 20 tetrahedra, 12 pentagonal pyramids, 60 triangular prisms.

    If the central rhombic triacontahedron and the 30 rhombic prisms are removed, you can create a toroidal polyhedron with all regular polygon faces.

    References

    Expanded icosidodecahedron Wikipedia