Geodesic Cubes

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Geodesic Cube Pattern 12 [5,0]
Vertices:  152  (8[3] + {24 * 6}[4])
Faces:150  (6 squares + {24 * 2} kites
    + {24 * 2} isosceles trapezoids
    + {24 * 2} irregular tetragons)
Edges:300  (9 different lengths)
Symmetry:  Full Octahedral  (Oh)
(values below based on edge-scribed radius = 1)
Edge 1 (24):  ≈0.19095160938895987633
Edge 2 (48):  ≈0.26518086812351800254
Edge 3 (24):  ≈0.27761258462825658637
Edge 4 (48):  ≈0.29277725620988134049
Edge 5 (12):  ≈0.30120400818308808359
Edge 6 (48):  ≈0.30520897271461992432
Edge 7 (24):  ≈0.30921393724615176506
Edge 8 (48):  ≈0.31583068729085410397
Edge 9 (24):  ≈0.32244743733555644287
Edge-scribed Radius:  1
Volume:≈4.1433433730938838367