Harman Patil (Editor)

Augmented truncated dodecahedron

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Edges
  
105

Symmetry group
  
C5v

Vertices
  
65

Augmented truncated dodecahedron

Type
  
JohnsonJ67 - J68 - J69

Faces
  
5x5 triangles5 squares1 pentagon1+2x5 decagons

Vertex configuration
  
4.5+3.10(3.10)5(3.4.5.4)10(3.4.3.10)

In geometry, the augmented truncated dodecahedron is one of the Johnson solids (J68). As its name suggests, it is created by attaching a pentagonal cupola (J5) onto one decagonal face of a truncated dodecahedron.

A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.

References

Augmented truncated dodecahedron Wikipedia


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