Map Projection Transitions
jasondavies.com
jasondavies.com
Extending the interpolation to work for projections with different clip regions should be feasible but there are several ways to interpolate between arbitrary shapes in 2D, so I'd have to give it some thought.
Another way to transition between "polyhedral" projections like the Dymaxion map and the Waterman butterfly is to fold and unfold the maps in 3D to and from a closed polyhedral globe.