Geodesic Icosahedra Duals

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Dual Geodesic Icosahedron Pattern 3 [2,1]
(Hexpropello Dodecahedron)
Vertices:  140  (20[3] + 60[3] + 60[3])
Faces:72  (12 regular pentagons + 60 mirror-symmetric hexagons)
Edges:210  (60 short + 60 medium + 90 long)
Symmetry:  Chiral Icosahedral  (I)
Dual Solid:  Geodesic Icosahedron Pattern 3 [2,1]
(values below based on edge-scribed radius = 1)
Short Edge (60):  2*phi*sqrt((898−533*phi)    
    −(371+1385*phi)/x    
    +8*(956−81*phi)/(x^2))/(209*x)    
≈0.24805766058343397098
Medium Edge (60):  2*sqrt((898−533*phi)−(371+1385*phi)/x    
    +8*(956−81*phi)/(x^2))/209    
≈0.26300941461107751861
Long Edge (90):  2*sqrt(3−(x^2))/x    ≈0.27796116863872106624
Edge-scribed Radius:  1
Volume:4*(−(6322931+24137593*phi)    
    +9*(9379039−873668*phi)/x    
    +2*(4386229+8951287*phi)/(x^2))    
    /9129329    
≈4.0448745806384879023
where:  phi = (1+sqrt(5))/2
x = cbrt((phi+sqrt(phi−5/27))/2)+cbrt((phi−sqrt(phi−5/27))/2)