Geodesic Icosahedra Duals

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Dual Geodesic Icosahedron Pattern 4 [3,0]
(Truncated Pentakis Dodecahedron)
Vertices:  180  ({60 * 3}[3])
Faces:92  (12 regular pentagons + 20 regular hexagons
    + 60 mirror-symmetric hexagons)
Edges:270  (60 short + 60 medium + 150 long)
Symmetry:  Full Icosahedral  (Ih)
Dual Solid:  Geodesic Icosahedron Pattern 4 [3,0]
(values below based on edge-scribed radius = 1)
Short Edge (60):  (21+sqrt(5))/109    ≈0.21317493557339256602
Medium Edge (60):  sqrt(12*(141−40*sqrt(5))/11881)    ≈0.22819657799562523398
Long Edge (150):  (20*sqrt(15)−21−16*sqrt(3)−sqrt(5))/109    ≈0.24321822041785790193
Edge-scribed Radius:  1
Volume:2*(814295+4295300*sqrt(3)    
    +542439*sqrt(5)    
    −1762860*sqrt(15))/1295029    
≈4.0761649193993341181