Derived Solids

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Orthokis Propello Cube (canonical)
canonical form
Vertices:  38  (8[3] + 6[4] + 24[5])
Faces:48  (24 isosceles triangles + 24 tri-equiangular kites)
Edges:84  (24 short + 24 medium + 36 long)
Symmetry:  Chiral Octahedral  (O)
Dual Solid:  Orthotruncated Propello Octahedron
(values below based on circumscribed radius = 1)
Short Edge (24):  sqrt(root[1369*(x^5)−11340*(x^4)    
    +39236*(x^3)−62876*(x^2)+30048*x−4232])    
≈0.51684054431801667354
Medium Edge (24):  sqrt(root[25*(x^5)−604*(x^4)    
    +2016*(x^3)−4288*(x^2)+2816*x−512])    
≈0.55223265799903573748
Long Edge (36):  sqrt(root[(x^5)−4*(x^4)    
    +336*(x^3)−1728*(x^2)+1792*x−512])    
≈0.72221762681161882860
Edge-scribed Radius:  1
Volume:sqrt(root[34225*(x^5)−58879232*(x^4)    
    +58527498240*(x^3)−11031888396288*(x^2)    
    +240385821507584*x−1226552599642112])    
≈4.0539074576043992828