Great dodecahemidodecahedron
Type	Uniform polyhedron
Elements	F = 18, E = 60 V = 30 (χ = -12)
Faces by sides	12{5/2}+6{10/3}
Wythoff symbol	5/35/2 | 5/3
Symmetry group	Ih
Index references	U70, C86, W107
5/2. A uniform polyhedron is a Polyhedron which has Regular polygons as faces and is Transitive on its vertices (i In Mathematics, and more specifically in Algebraic topology and Polyhedral combinatorics, the Euler characteristic is a Topological invariant In Geometry, a Wythoff symbol is a short-hand notation created by mathematician Willem Abraham Wythoff, for naming the regular and semiregular polyhedra using a List of Symmetry groups on the sphere Spherical symmetry groups are also called Point groups in three dimensions. A uniform polyhedron is a Polyhedron which has Regular polygons as faces and is Transitive on its vertices (i A uniform polyhedron is a Polyhedron which has Regular polygons as faces and is Transitive on its vertices (i Harold Scott MacDonald "Donald" Coxeter CC ( February 9, 1907 – March 31, 2003) is regarded as one of the great This table contains an indexed list of the Uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger 10/3. 5/3. 10/3 (Vertex figure)	Great dodecahemidodecracon (dual polyhedron)

In geometry, the great dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U₇₀. In Geometry a vertex figure is broadly speaking the figure exposed when a corner of a Polyhedron or Polytope is sliced off In Geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position A uniform polyhedron is a Polyhedron which has Regular polygons as faces and is Transitive on its vertices (i

It shared the same edge arrangement, along with its 12 pentagrammic faces, with the great icosidodecahedron. See Vertex figure for the local description of faces around a vertex of a polyhedron or tiling In Geometry, the great icosidodecahedron is a nonconvex Uniform polyhedron, indexed as U54

See also

• List of uniform polyhedra

External links

• Eric W. Weisstein, Great dodecahemidodecahedron at MathWorld. Uniform polyhedra and tilings form a well studied group They are listed here for quick comparison of their properties and varied naming schemes and symbols Eric W Weisstein (born March 18, 1969, in Bloomington Indiana) is an Encyclopedist who created and maintains MathWorld MathWorld is an online Mathematics reference work created and largely written by Eric W

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