Abstract:
The {3, 3, 5}-polytope is described and used as template for dense structures. Then larger structures are derived from this polytope, using disclinations. That needs a study of symmetries in this polytope. A discretised version of the Hopf fibration is presented and used in order to generate a family 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 building molecules, but the final purpose is to have a geometrical tool to study geometrical relationship occurring between different helices or strands. This can occur for instance in protein folding studies.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.Author information
Authors and Affiliations
Additional information
Received 8 March 2001 and Received in final form 25 June 2001
Rights and permissions
About this article
Cite this article
Sadoc, J. Helices and helix packings derived from the {3, 3, 5} polytope. Eur. Phys. J. E 5 (Suppl 1), 575–582 (2001). https://doi.org/10.1007/s101890170040
Issue Date:
DOI: https://doi.org/10.1007/s101890170040