Stephen Hyde Department of Applied Mathematics,ANU
Christophe OGUEY LPTM (Laboratoire de Physique Theorique et Modelisation)
Universite de Cergy-Pontoise
Stuart Ramsden ANU Supercomputer Facility and Department of Applied Mathematics,ANU

Triply connected graph embeddings

Minimal Surface graph embeddings resulting in interlocking disconnected lattices

G-Surface

Embedding of regular 3-connected trees of edge length acosh(3) on the Gyroid G. 2 discrete components, of the same chirality (topologically Y* or Wells' (10,3)-a)

D-Surface

Embedding of regular 3-connected trees of edge length acosh(3) on D. 4 discrete components, all chiral Y*+ or Y*-.

P-Surface

Embedding of regular 3-connected trees of length acosh(5) on P. 8 discrete components, all chiral Y*+ or Y*-.

H-Surface

Embedding of irregular 3-trees on H. 3 discrete interlocking components, all Wells' (8,3)-c graphs.
An embedding of regular 3-trees on H. 3 interpenetrating sets of parallel hexagonal sheets.

Stuart Ramsden
Last modified: Wed Apr 12 13:05:06 EST 2000