Dynamically generate Goldberg polyhedra G(m,n)

Question

In these pages the author provided a lot of info about some Goldberg polyhedra (http://en.wikipedia.org/wiki/Goldberg_polyhedron):

• http://dmccooey.com/polyhedra/DualGeodesicIcosahedra.html
• http://dmccooey.com/polyhedra/DualGeodesicIcosahedraPage2.html

Unfortunately the Java applets doesn't work anymore. But, for any of these polyhedra it's still possible to get some info, e.g. for the G(3,2):

• http://dmccooey.com/polyhedra/DualGeodesicIcosahedron8.html
• http://dmccooey.com/polyhedra/DualGeodesicIcosahedron8.txt

I'd like to dynamically generate, given ANY "m" and "n", those info about G(m,n):

• Edge lengths
• Number of edge of the same length
• A list of constants
• A list of vertexes defined using the constants
• A list of faces defined using the vertexes

Thanks in advance!

Answer 1

Based on this Reddit thread I found antiprism which seems to do just that. Once installed, try geodesic -c 1,3 ico > test.off which will generate an (m,n)=(1,3) polyhedron. It can be visualized by antiview test.off.