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The structural parameters of alpha helix and some forms of DNA-structures aredetermined by methods of algebraic topology. These structures are locallyperiodic and correspond to the bifurcation point for minimal surfaces given byWeierstrass representation. The index of an unstable surface equals zero forthem. As predicted by a theory of catastrophes, formation of such structurescorresponds to lifting of configurational degeneration. Formation turns byhalf- turns from different helices in the implementation of double-structure asa single system, may indicate a kind of local crossing-over between motherboardand paternal helices (at least for some part of the helix). The role of theexchange have yet to understand given the impossibility of exchange betweendifferent turns spirals going counter rotating and shifted axis.

Symmetrical laws of structure of helicoidally-like biopolymers in the  framework of algebraic topology. IV. Topological stability of alpha helix and  DNA structures