Geodesic Icosahedra

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Geodesic Icosahedron Pattern 2 [2,0]
(Pentakis Icosidodecahedron)
Vertices:  42  (12[5] + 30[6])
Faces:80  (20 equilateral triangles + 60 isosceles triangles)
Edges:120  (60 short + 60 long)
Symmetry:  Full Icosahedral  (Ih)
Dual Solid:  Dual Geodesic Icosahedron Pattern 2 [2,0]
(values below based on edge-scribed radius = 1)
Short Edge (60):  2*(45−5*sqrt(5)    
    −sqrt(10*(785−349*sqrt(5))))/95    
≈0.56901655327407896392
Long Edge (60):  2*sqrt(5*(5−2*sqrt(5)))/5    ≈0.64983939246581265231
Edge-scribed Radius:  1
Volume:4*(sqrt(2*(1765+319*sqrt(5)))    
    +69*sqrt(5)−165)/57    
≈4.1889049912153386767