Helices and helix packings derived from the {3,3,5} polytope

The {3, 3, 5}-polytope is described and used as template for dense structur es. Then larger structures are derived from this polytope, using disclinati ons. That needs a study of symmetries in this polytope. A discretised versi on of the Hopf fibration is presented and used in order to generate a famil y of new polytopes. It is possible to gathered vertices of these structures on several helices and then to consider geometrical relation between these helices. This study is govern by biological consideration of helix buildin g molecules, but the final purpose is to have a geometrical tool to study g eometrical relationship occurring between different helices or strands. Thi s can occur for instance in protein folding studies.