From untangled graphs and nets to tangled materials

Stephen T. Hyde, Olaf Delgado Friedrichs

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)676-683
    Number of pages8
    JournalSolid State Sciences
    Volume13
    Issue number4
    DOIs
    Publication statusPublished - Apr 2011

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