A Little About Geodesic Spheres

All geodesic spheres contain 12 pentagons, the rest hexagons. (a 'dome' is 1/2 a sphere.) The smallest number of facets is 12 pentagons, 20 hexagons. If you want to make a sphere bigger you add hexagons. But the 12/20 dome is the roundest--adding hexagons makes a bigger sphere, but it becomes out of round--the thing bulges at each pentagon. The bigger (more hexagons) the more the bulges protrude and get pointy. At the infinite limit they may become spires., The Epcott Center sphere is not a geodesic sphere--it only mimics one. Hence that tell-tale slash along a side.