Goldberg Variation
This model resulted from Joe Clinton sending me some chord
factors for a
3f geodesic inner sphere inside a Goldberg polyhedron: (i.e. all one edge
length). There isn't a widely agreed way of specifying the different
Goldberg polyhedra. Maybe they could be designated as "Goldberg Variation
1, 2,3,4..." etc. in which case, starting from the upper left corner of
the diagram on p.6 of Clinton's Equal Angle Conjecture: To the far right is a four frequency Goldberg inside and six frequency outside  "Goldberg Variation 46". (The outside sphere is entirely hexagons and pentagons whose struts are equal lengths.) 
Click on photos to enlarge 


Here's a view of the inside of the above sphere 

