Saturday, December 8, 2007

Real Schwarzite D-Surface Graphenoid

Later last night I finished the coding of the "real" Schwarzite D-Surface Graphenoid generation, which is done by finding the dual lattice of the following infinitely extending deltahedron:

Which is copied from Ken Brakke's site, who is the author of Surface Evolver. And his TPMS gallery always gives me a great deal of help when doing the coding of negative-curved graphenoid.

The dual of this deltahedron is then the Schwarzite D-surface graphenoid with minimal number of atoms per unit cell. (There are 8 unit cells in the figure!)

A view from high symmetric point:

Here I also present some figs of the second smaller one:

One with four unit cells:

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