Geodesic Icosahedra

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Geodesic Icosahedron Pattern 1 [1,1]
(Pentakis Dodecahedron)
Vertices:  32  (12[5] + 20[6])
Faces:60  (isosceles triangles)
Edges:90  (60 short + 30 long)
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(−(80+9*sqrt(5))/109)    ≈156.718553726 degrees
Dual Solid:  Dual Geodesic Icosahedron Pattern 1 [1,1]
(values below based on edge-scribed radius = 1)
Short Edge (60):  3*(11−3*sqrt(5))/19    ≈0.67765201065799435433
Long Edge (30):  3−sqrt(5)    ≈0.76393202250021030359
Edge-scribed Radius:  1
Volume:30*(7*sqrt(5)−13)/19    ≈4.1881197513134650656