Biscribed Chiral Solids

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Biscribed Propello Icosahedron
biscribed form
Vertices:  72  (60[4] + 12[5])
Faces:80  (20 equilateral triangles + 60 irregular tetragons)
Edges:150  (30 short + 60 medium + 60 long)
Symmetry:  Chiral Icosahedral  (I)
Short Edge Angle:  acos(root[10th-order polynomial])    ≈143.432135248 degrees
Medium Edge Angle:  acos(root[10th-order polynomial])    ≈158.4988225546 degrees
Long Edge Angle:  acos(root[10th-order polynomial])    ≈161.001993664 degrees
Dual Solid:  Biscribed Propello Dodecahedron
(values below based on circumscribed radius = 1)
Short Edge (30):  sqrt(root[10th-order polynomial])    ≈0.10073991244283247654
Medium Edge (60):  sqrt(root[10th-order polynomial])    ≈0.52265784955085316296
Long Edge (60):  sqrt(root[10th-order polynomial])    ≈0.54966774118891216224
Circumscribed Radius:  1
Inscribed Radius:  sqrt(root[10th-order polynomial])    ≈0.94830820838942425133
Volume:sqrt(root[10th-order polynomial])    ≈3.7383576176955890478


References:[1]Sculpture Based on Propellorized Polyhedra (George Hart)