Biscribed Chiral Solids

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Biscribed Pentagonal Hexecontahedron (dextro)
biscribed form
Vertices:  92  (80[3] + 12[5])
Faces:60  (irregular pentagons)
Edges:150  (30 short + 60 medium + 60 long)
Symmetry:  Chiral Icosahedral  (I)
Short Edge Angle:  acos(root[8th-order polynomial])    ≈142.776003308 degrees
Medium Edge Angle:  acos(root[8th-order polynomial])    ≈147.727648244 degrees
Long Edge Angle:  acos(root[8th-order polynomial])    ≈158.254363946 degrees
Dual Solid:  Biscribed Snub Dodecahedron (laevo)
(values below based on circumscribed radius = 1)
Short Edge (30):  sqrt(root[8th-order polynomial])    ≈0.070791975091705295711
Medium Edge (60):  sqrt(root[8th-order polynomial])    ≈0.33407713163118844539
Long Edge (60):  sqrt(root[8th-order polynomial])    ≈0.52874450465320007252
Circumscribed Radius:  1
Inscribed Radius:  sqrt(root[8th-order polynomial])    ≈0.94710773342632532217
Volume:sqrt(root[8th-order polynomial])    ≈3.7698820661878000842