Although a cuboctahedron itself is unstable, arrays of 27 or more cuboctahedra in appropriate geometrical juxtaposition constitute a stable space frame having both horizontal and vertical square patterns of struts without further internal supports.
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References
1.
FullerR. BUCKMINSTER, Synergetics, MacMillan Publishing Co., Inc., New York, 1975, 410.00 Close packing of spheres.
2.
LoebA. L., Space-filling polyhedra, In: Synergetics, Buckminster FullerR., Ed. ApplewhiteE. J., MacMillan Publishing Co., Inc., New York, 1975, pp. 836-47.