Compound of great icosahedron and great stellated dodecahedron

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15th stellation of icosidodecahedron
Type stellation and compound
Convex hull Rhombic triacontahedron
Polyhedra 1 great icosahedron
1 great stellated dodecahedron
Faces 20 triangles
12 pentagrams
Edges 60
Vertices 32
Symmetry group icosahedral (Ih)

This polyhedron can be seen as either a polyhedral stellation or a compound.

Contents

[edit] As a compound

It can be seen as a polyhedron compound of a great icosahedron and great stellated dodecahedron. It is one of four compounds constructed from a Platonic solid or Kepler-Poinsot solid, and its dual.

It has icosahedral symmetry (Ih) and it has the same vertex arrangement as a rhombic triacontahedron.


great icosahedron
great stellated dodecahedron

[edit] As a stellation

This polyhedron, is the 15th stellation of the icosidodecahedron, and given as Wenninger model index 61.

The stellation facets for construction are:


Facets from triangle
Facets from pentagon

[edit] References

  • Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9. , p. 90.
  • Wenninger, Magnus (1983). Dual Models. Cambridge University Press. ISBN 0-521-54325-8. , pp. 51-53.
  • H. Cundy and A. Rollett Great Icosahedron Plus Great Stellated Dodecahedron. ยง3.10.4 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 132-133, 1989.

[edit] External links


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