Derived Solids

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Orthotruncated Propello Octahedron
(canonical)
canonical form
Vertices:  48  (24[3] + 24[4])
Faces:38  (8 equilateral triangles + 6 squares + 24 mirror-symmetric pentagons)
Edges:84  (24 short + 24 medium + 36 long)
Symmetry:  Chiral Octahedral  (O)
Dual Solid:  Orthokis Propello Cube
(values below based on edge-scribed radius = 1)
Short Edge (24):  sqrt(root[529*(x^5)+3164*(x^4)    
    +43360*(x^3)−87296*(x^2)+18688*x−1024])    
≈0.30775393680051673651
Medium Edge (24):  sqrt(root[529*(x^5)−4384*(x^4)    
    +15872*(x^3)−21984*(x^2)+5376*x−256])    
≈0.47902783311164026776
Long Edge (36):  sqrt(root[(x^5)+12*(x^4)    
    +96*(x^3)−4608*(x^2)+4352*x−1024])    
≈0.65030172942276379902
Edge-scribed Radius:  1
Volume:sqrt(root[5th-order polynomial])    ≈3.9461882682839782988