Geodesic Cubes

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Geodesic Cube Pattern 7 [3,2]
Vertices:  80  (8[3] + 24[4] + 24[4] + 24[4])
Faces:78  (6 squares + 24 kites
    + {24 * 2} irregular tetragons)
Edges:156  (6 different lengths)
Symmetry:  Chiral Octahedral  (O)
(values below based on edge-scribed radius = 1)
Edge 1 (24):  ≈0.29417041580849496659
Edge 2 (48):  ≈0.40230419911361947827
Edge 3 (12):  ≈0.41403527693592842481
Edge 4 (24):  ≈0.42086405195463822104
Edge 5 (24):  ≈0.43259512977694716758
Edge 6 (24):  ≈0.451154982617965910346
Edge-scribed Radius:  1
Volume:≈4.1018501748380543599