Biscribed Chiral Solids

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Biscribed Hexpropello Cube (dextro)
biscribed form
Vertices:  56  (8[3] + 24[3] + 24[3])
Faces:30  (6 squares + 24 irregular hexagons)
Edges:84  (24 short + 24 medium1 + 24 medium2 + 12 long)
Symmetry:  Chiral Octahedral  (O)
Dual Solid:  Biscribed Tetrakis Snub Cube (laevo)
(values below based on inscribed radius = 1)
Short Edge (24):  sqrt(root[9th-order polynomial])    ≈0.10709649669010600023
Medium1 Edge (24):  sqrt(root[9th-order polynomial])    ≈0.51272528073730193183
Medium2 Edge (24):  sqrt(root[9th-order polynomial])    ≈0.67302163534468088301
Long Edge (12):  sqrt(root[9th-order polynomial])    ≈0.797241728944254844346
Circumscribed Radius:  sqrt(root[9th-order polynomial])    ≈1.1074651510639123962
Inscribed Radius:  1
Volume:root[9th-order polynomial]    ≈4.6905898987806428871