The pentakis dodecahedron is the 60-faced dual polyhedron of the truncated icosahedron (Holden 1971,
p. 55). It can be constructed by augmentation
of a unit edge-length dodecahedron by a pyramid
with height .
It is illustrated above together with a wireframe version and a net
that can be used for its construction.

Holden, A. Shapes, Space, and Symmetry. New York: Columbia University Press, p. 55, 1971.Kabai,
S. Mathematical Graphics I: Lessons in Computer Graphics Using Mathematica.
Püspökladány, Hungary: Uniconstant, p. 153, 2002.Wenninger,
M. J. Dual
Models. Cambridge, England: Cambridge University Press, p. 18, 1983.