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In the frameworks of algebraic topology {\alpha}-helix and differentDNA-conformations are determined as the local latticed packing, confined bypeculiar minimal surfaces which are similar to helicoids. These structures aredefined by Weierstrass representation and satisfy to a zero condition for theinstability index of the surface and availability of bifurcation points forthese surfaces. The topological stability of such structures corresponds toremoving of the configuration degeneracy and to existence of bifurcation pointsfor these surfaces. The considered ordered non-crystalline structures aredetermined by homogeneous manifolds - algebraic polytopes, corresponding to thedefinite substructures the 8-dimensional lattice E8.The joining of twosemi-turns of two spirals into the turn of a single two-spiral (helical) systemis effected by the topological operation of a connected sum. The appliedapparatus permits to determine a priori the symmetry parameters of the doublespirals in A, B and Z forms DNA structures.

Symmetrical laws of structure of helicoidally-like biopolymers in the  framework of algebraic topology. III. Nature of the double and relations  between the alpha helix and the various forms of DNA structures