This is a list of selected geodesic polyhedra and Goldberg polyhedra, two infinite classes of polyhedra. Geodesic polyhedra and Goldberg polyhedra are duals of each other. The geodesic and Goldberg polyhedra are parameterized by integers m and n, with m > 0 {\displaystyle m>0} and n ≥ 0 {\displaystyle n\geq 0} . T is the triangulation number, which is equal to T = m 2 + m n + n 2 {\displaystyle T=m^{2}+mn+n^{2}} .
Icosahedral
Octahedral
Tetrahedral
References Wenninger, Magnus (1979), Spherical Models, Cambridge University Press, ISBN 978-0-521-29432-4, MR 0552023, archived from the original on July 4, 2008 Reprinted by Dover 1999 ISBN 978-0-486-40921-4