From untangled graphs and nets to tangled materials

Stephen T. Hyde; Olaf Delgado Friedrichs

doi:10.1016/j.solidstatesciences.2010.10.028

From untangled graphs and nets to tangled materials

Stephen T. Hyde, Olaf Delgado Friedrichs

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	676-683
Number of pages	8
Journal	Solid State Sciences
Volume	13
Issue number	4
DOIs	https://doi.org/10.1016/j.solidstatesciences.2010.10.028
Publication status	Published - Apr 2011

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10.1016/j.solidstatesciences.2010.10.028

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title = "From untangled graphs and nets to tangled materials",

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.",

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AU - Friedrichs, Olaf Delgado

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AB - 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.

KW - DNA materials engineering

KW - Entanglement

KW - Knotted graphs

KW - Metal-organic frameworks

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U2 - 10.1016/j.solidstatesciences.2010.10.028

DO - 10.1016/j.solidstatesciences.2010.10.028

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VL - 13

SP - 676

EP - 683

JO - Solid State Sciences

JF - Solid State Sciences

IS - 4

ER -

From untangled graphs and nets to tangled materials

Abstract

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