Geodesic Cubes

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Geodesic Cube Pattern 15 [5,2]
Vertices:  176  (8[3] + {24 * 7}[4])
Faces:174  (6 squares + 24 kites
    + {24 * 6} irregular tetragons)
Edges:348  (14 different lengths)
Symmetry:  Chiral Octahedral  (O)
(values below based on edge-scribed radius = 1)
Edge 1 (24):  ≈0.17269300547797131651
Edge 2 (48):  ≈0.24002698764904197512
Edge 3 (24):  ≈0.25331210436995148530
Edge 4 (24):  ≈0.26484277503521557266
Edge 5 (24):  ≈0.26750795335064667660
Edge 6 (24):  ≈0.27812789175612508284
Edge 7 (12):  ≈0.279498604591902265047
Edge 8 (24):  ≈0.28079307007155618678
Edge 9 (24):  ≈0.28385431662065248563
Edge 10 (24):  ≈0.28522502945642966783
Edge 11 (24):  ≈0.28789020777186077177
Edge 12 (24):  ≈0.29298672238102547990
Edge 13 (24):  ≈0.296047968930121778749
Edge 14 (24):  ≈0.30114448353928648688
Edge-scribed Radius:  1
Volume:≈4.1495310464980730780