Configurations of an A4-symmetric tensegrity form a one-parameter family on elliptic curve 30a2, preserving Hopf linking of strut triangles for all stress parameters between 0 and 1, with only one stable cuboctahedron realization.
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An Elliptic Curve Governing Hopf Linking in an $A_4$-Symmetric Tensegrity
Configurations of an A4-symmetric tensegrity form a one-parameter family on elliptic curve 30a2, preserving Hopf linking of strut triangles for all stress parameters between 0 and 1, with only one stable cuboctahedron realization.