Geodesic Sphere (3)
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Index Entry
Geodesic Sphere:
"clusters around all other points. Assuming the dropped-out triangles to be equiangular, i.e., with 60-degree corners, this means that 60 x 12 = 720°, which has been eliminated from the total inventory of surface angles. You can always find 12 pentagons on spherically conformed systems such as oranges, which are icosahedrally based; or four triangles with 120-degree corners if the system is tetrahedrally based; or six squares where the system is octahedrally based."
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