Geodesic Cubes

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)
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Geodesic Cube Pattern 3 [2,1]
(Propello Cube)
Vertices:  32  (8[3] + 24[4])
Faces:30  (6 squares + 24 tri-equiangular kites)
Edges:60  (24 short + 36 long)
Symmetry:  Chiral Octahedral  (O)
(values below based on edge-scribed radius = 1)
Short 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[25*(x^5)+205312*(x^4)    
    +680951808*(x^3)−181399977984*(x^2)    
    +7490943057920*x−75698932809728])    
≈3.9709421820401990627