Note that the common name “geodesic dome” is a misnomer. The defining qualities of these domes is the fact that they are regular, based on Regular polyhedron, in particular, Icosahedron. A geodesic is the shortest path between any two points on a surface. On a sphere, the geodesic is then arcs of great circles. It's misleading to call these domes “geodesic”, because the concept of “geodesic” really has nothing to do with it. You can have a spherical structure where the frames are all geodesics but irregularly placed. A more proper term would be Regular Polyhedron dome, or simply geo dome.

Also, the guy R Buckminster Fuller, a name associated with geo dome, is a kook. He didn't invent geo dome but invented the term “geodesic dome”, and many other pseudo-science such as “Spaceship Earth”, “ephemeralization”, “synergetic”, “tensegrity sphere”.

Thanks to Stéphane Tsacas for identifying a location.