Truncated Catalan Solids

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4-Truncated Deltoidal Icositetrahedron
(canonical)
version 2
Vertices:  80  (8[3] + 24[3] + 24[3] + 24[3])
Faces:42  (18 squares + 24 mirror-symmetric heptagons)
Edges:120  (96 short + 24 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on short edge length = 1)
Short Edge (96):  1
Long Edge (24):  (4+sqrt(2)+sqrt(10−sqrt(2)))/7    ≈1.1920521182411517900
Max Vertex Radius:  sqrt(2*(294+147*sqrt(2)    
    +12*sqrt(2*(370+257*sqrt(2)))))/14    
≈3.1322741694649008294
Edge-scribed Radius:  (1+sqrt(2)+2*sqrt(2+sqrt(2)))/2    ≈3.0548658462091210367
Volume:(206+125*sqrt(2)    
    +2*sqrt(2*(9698+6439*sqrt(2))))/7    
≈110.09051253596901653