Geodesic Cubes

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Geodesic Cube Pattern 2 [2,0]
(Deltoidal Icositetrahedron)
Vertices:  26  (8[3] + 6[4] + 12[4])
Faces:24  (tri-equiangular kites)
Edges:48  (24 short + 24 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on edge-scribed radius = 1)
Short Edge (24):  2*(3*sqrt(2)−2)/7    ≈0.64075448203408147040
Long Edge (24):  2*(sqrt(2)−1)    ≈0.82842712474619009760
Edge-scribed Radius:  1
Volume:16*sqrt(2*(34−23*sqrt(2)))/7    ≈3.9232979918098807303