title: Great icosihemidodecahedron
text: In geometry, the great icosihemidodecahedron (or great icosahemidodecahedron) is a nonconvex uniform polyhedron, indexed as U71. It has 26 faces (20 triangles and 6 decagrams), 60 edges, and 30 vertices.  Its vertex figure is a crossed quadrilateral.
  
  It is a hemipolyhedron with 6 decagrammic faces passing through the model center.
  
  Related polyhedra 
  
  Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the great icosidodecahedron (having the triangular faces in common), and with the great dodecahemidodecahedron (having the decagrammic faces in common).
  
  Gallery
  
  See also 
   List of uniform polyhedra
  
  References
  
  External links 
   
   Uniform polyhedra and duals
  
  Uniform polyhedra