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Statistics

Frequency ν2V
Vertices V42
Edges E120
Faces F80
V − E + F2
Distinct struts3
A geodesic sphere starts as a 20-face icosahedron. Each triangle is split into ν² smaller triangles, then every vertex is pushed out onto the unit sphere. Euler's formula V − E + F = 2 always holds. Real domes need only a few distinct strut lengths — drag to rotate.