Volume 50, Number 2, April II 2000
|Page(s)||135 - 141|
|Published online||01 September 2002|
Polycontinuous morphologies and interwoven helical networks
Department of Applied Mathematics,
Research School of Physical Sciences Australian
National University, Canberra, ACT 0200, Australia
Accepted: 27 January 2000
We describe a construction procedure for polycontinuous structures, giving generalisations of bicontinuous morphologies to more than two equivalent, continuous and interwoven sub-volumes. The construction gives helical windings of disjoint graphs on triply periodic hyperbolic surfaces, whose universal cover in the hyperbolic plane consists of packed, parallel trees. The simplest tri-, quadra- and octa-continuous morphologies consist of three , four and eight interwoven networks, respectively. The quadra- and octa-continuous cases are chiral. A novel chiral bicontinuous structure is also derived, closely related to the well-known cubic gyroid mesophase.
PACS: 02.40.Sf – Manifolds and cell complexes / 61.25.Em – Molecular liquids / 61.30.Cz – Theory and models of liquid crystal structure
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.