Triaugmented truncated dodecahedron
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In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids (J71Script error: No such module "Check for unknown parameters".). Of them, it has the greatest surface area and volume for a given side length, as well as the greatest numbers of edges and vertices; it is tied for the greatest number of faces with J72Script error: No such module "Check for unknown parameters"., J73Script error: No such module "Check for unknown parameters"., J74Script error: No such module "Check for unknown parameters"., and J75Script error: No such module "Check for unknown parameters".. As its name suggests, it is created by attaching three pentagonal cupolas (J5Script error: No such module "Check for unknown parameters".) onto three nonadjacent decagonal faces of a truncated dodecahedron.
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