Biscribed Non-Chiral Solids

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Biscribed Truncated Icosahedron
biscribed form
Vertices:  60  (60[3])
Faces:32  (12 regular pentagons + 20 ditrigons)
Edges:90  (30 short + 60 long)
Symmetry:  Full Icosahedral  (Ih)
Short Edge Angle:  acos(−sqrt(5)/3)    ≈138.189685104 degrees
Long Edge Angle:  acos(−sqrt(15*(5+2*sqrt(5)))/15)    ≈142.622631859 degrees
Dual Solid:  Biscribed Pentakis Dodecahedron
(values below based on inscribed radius = 1)
Short Edge (30):  sqrt(2*(5+sqrt(5)))−2*sqrt(3)    ≈0.34012445004285970141
Long Edge (60):  (5*sqrt(3)−sqrt(15)−sqrt(2*(5+sqrt(5))))/2    ≈0.49152231322817764700
Circumscribed Radius:  sqrt(10−sqrt(5)−sqrt(6*(5+sqrt(5))))    ≈1.0838907666963285358
Inscribed Radius:  1
Volume:10*(sqrt(2*(145−19*sqrt(5)))−8*sqrt(3))    ≈4.6244184701226806076