Concept
Pentagonal rotunda
In geometry, the pentagonal rotunda is one of the Johnson solids (J_6). It can be seen as half of an icosidodecahedron, or as half of a pentagonal orthobirotunda. It has a total of 17 faces. The following formulae for volume, surface area, circumradius, and height are valid if all faces are regular, with edge length a: The dual of the pentagonal rotunda has 20 faces: 10 triangular, 5 rhombic, and 5 kites.
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