  In the frameworks of algebraic topology {\alpha}-helix and different
DNA-conformations are determined as the local latticed packing, confined by
peculiar minimal surfaces which are similar to helicoids. These structures are
defined by Weierstrass representation and satisfy to a zero condition for the
instability index of the surface and availability of bifurcation points for
these surfaces. The topological stability of such structures corresponds to
removing of the configuration degeneracy and to existence of bifurcation points
for these surfaces. The considered ordered non-crystalline structures are
determined by homogeneous manifolds - algebraic polytopes, corresponding to the
definite substructures the 8-dimensional lattice E8.The joining of two
semi-turns of two spirals into the turn of a single two-spiral (helical) system
is effected by the topological operation of a connected sum. The applied
apparatus permits to determine a priori the symmetry parameters of the double
spirals in A, B and Z forms DNA structures.
