Abstract
We suggest constructive definitions for the determination of untangled finite graphs and three-periodic nets, using barycentric embeddings in two and three dimensions. The possibility of deliberately constructing tangled graphs and nets is canvassed, and we conclude that tangled patterns offer a novel class of nano- and meso-structured materials with useful features, including high internal surface area and volume and chirality.
Original language | English |
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Pages (from-to) | 676-683 |
Number of pages | 8 |
Journal | Solid State Sciences |
Volume | 13 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 2011 |