I know geodesic approximation to a construct a spherical dome shape needs 12 pentagons and these pentagons are regular pentagons.
However when I look closely hexagons are slightly different in their shapes and sizes. Is it mathematically possible to construct a geodesic sphere using 12 pentagons and REGULAR hexagons of the SAME SIZE? (for example like Truncated Icosahedron)
Would putting extra pentagons to force curvature between the regular hexagons solve this?