Geodesic Icosahedra

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Geodesic Icosahedron Pattern 3 [2,1]
(Pentakis Snub Dodecahedron)
Vertices:  72  (12[5] + 60[6])
Faces:140  (80 equilateral triangles + 60 isosceles triangles)
Edges:210  (60 short + 150 long)
Symmetry:  Chiral Icosahedral  (I)
Dual Solid:  Dual Geodesic Icosahedron Pattern 3 [2,1]
(values below based on edge-scribed radius = 1)
Short Edge (60):  2*sqrt((x^2)*(902519*phi−5634334)    
    +x*(2006015*phi−341623)    
    −16*(159428*phi−727195))/2201    
≈0.41168395435817470342
Long Edge (150):  2*sqrt(3−(x^2))    ≈0.47685947932747728014
Edge-scribed Radius:  1
Volume:20*(48*(x^2)*(10−151*phi)    
    +x*(10907+1920*phi)    
    +(7501*phi−1692))/6603    
≈4.1889585424732162521
where:  phi = (1+sqrt(5))/2
x = cbrt((phi+sqrt(phi−5/27))/2)+cbrt((phi−sqrt(phi−5/27))/2)