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great dodecahemidodecahedron
In geometry, the great dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U70. Its vertex figure is a crossed quadrilateral.
It is the only nonconvex uniform polyhedron whose faces are all non-convex regular polygons (star polygons), namely the star polygons and , besides the regular small stellated dodecahedron and great stellated dodecahedron .
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 pentagrammic faces in common), and with the great icosihemidodecahedron (having the decagrammic faces in common).
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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