Derived Solids

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Hexpropello Cube (dextro) (canonical)
version 1
Vertices:  56  (8[3] + 24[3] + 24[3])
Faces:30  (6 squares + 24 mirror-symmetric hexagons)
Edges:84  (24 short + 24 medium + 36 long)
Symmetry:  Chiral Octahedral  (O)
Dual Solid:  Tetrakis Snub Cube (laevo)
(values below based on edge-scribed radius = 1)
Short Edge (24):  sqrt(root[49*(x^3)−20*(x^2)+272*x−32]);    ≈0.34406193824601253170
Medium Edge (24):  sqrt(root[49*(x^3)−82*(x^2)+60*x−8])    ≈0.40994563074955008808
Long Edge (36):  sqrt(root[(x^3)−12*(x^2)+144*x−32])    ≈0.47582932325308764446
Edge-scribed Radius:  1
Volume:sqrt(root[117649*(x^3)−62905312*(x^2)    
    +10093554688*x−133838962688])    
≈3.8133859329652841137