Pentakis snub dodecahedron

Pentakis snub dodecahedron
TypeConway polyhedron
Faces140 triangles
Edges210
Vertices72
Vertex configurations(12) 35
(60) 36
Symmetry groupIcosahedral (I)
Dual polyhedronTruncated pentagonal hexecontahedron
Propertiesconvex, chiral
Net
(click to enlarge)

The pentakis snub dodecahedron is a convex polyhedron with 140 triangular faces, 210 edges, and 72 vertices. Like the snub dodecahedron, it has chiral icosahedral symmetry.

Its name comes from a topological construction from the snub dodecahedron with the kis operator applied to the pentagonal faces. In this construction, all the vertices are computed to be the same distance from the center. The 80 of the triangles are equilateral, and 60 triangles from the pentagons are isosceles.

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