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String-node nets and meshes

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String-node nets and meshes. / Power, Stephen Charles; Schulze, Bernd.
In: Discrete and Computational Geometry, Vol. 59, No. 1, 01.2018, p. 31-58.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Power, SC & Schulze, B 2018, 'String-node nets and meshes', Discrete and Computational Geometry, vol. 59, no. 1, pp. 31-58. https://doi.org/10.1007/s00454-017-9941-4

APA

Power, S. C., & Schulze, B. (2018). String-node nets and meshes. Discrete and Computational Geometry, 59(1), 31-58. https://doi.org/10.1007/s00454-017-9941-4

Vancouver

Power SC, Schulze B. String-node nets and meshes. Discrete and Computational Geometry. 2018 Jan;59(1):31-58. Epub 2017 Sept 27. doi: 10.1007/s00454-017-9941-4

Author

Power, Stephen Charles ; Schulze, Bernd. / String-node nets and meshes. In: Discrete and Computational Geometry. 2018 ; Vol. 59, No. 1. pp. 31-58.

Bibtex

@article{d5c2d71e77b543fbb411ef812e025f59,
title = "String-node nets and meshes",
abstract = "New classes of infinite bond-node structures are introduced, namely string-node nets and meshes, a mesh being a string-node net for which the nodes are dense in the strings. Various construction schemes are given including the minimal extension of a (countable) line segment net by a countable scaling group. A linear mesh has strings that are straight lines and nodes given by the intersection points of these lines. Classes of meshes, such as the regular meshes in R2 and R3, are defined and classified. String-length preserving motions are also determined for a number of fundamental examples and contrasting flexing and rigidity properties are obtained with respect to noncrossing motions in the space of smooth meshes.",
keywords = "periodic net, string-node net, Rigidity , flexibility, Sierpinski mesh",
author = "Power, {Stephen Charles} and Bernd Schulze",
year = "2018",
month = jan,
doi = "10.1007/s00454-017-9941-4",
language = "English",
volume = "59",
pages = "31--58",
journal = "Discrete and Computational Geometry",
issn = "0179-5376",
publisher = "Springer New York",
number = "1",

}

RIS

TY - JOUR

T1 - String-node nets and meshes

AU - Power, Stephen Charles

AU - Schulze, Bernd

PY - 2018/1

Y1 - 2018/1

N2 - New classes of infinite bond-node structures are introduced, namely string-node nets and meshes, a mesh being a string-node net for which the nodes are dense in the strings. Various construction schemes are given including the minimal extension of a (countable) line segment net by a countable scaling group. A linear mesh has strings that are straight lines and nodes given by the intersection points of these lines. Classes of meshes, such as the regular meshes in R2 and R3, are defined and classified. String-length preserving motions are also determined for a number of fundamental examples and contrasting flexing and rigidity properties are obtained with respect to noncrossing motions in the space of smooth meshes.

AB - New classes of infinite bond-node structures are introduced, namely string-node nets and meshes, a mesh being a string-node net for which the nodes are dense in the strings. Various construction schemes are given including the minimal extension of a (countable) line segment net by a countable scaling group. A linear mesh has strings that are straight lines and nodes given by the intersection points of these lines. Classes of meshes, such as the regular meshes in R2 and R3, are defined and classified. String-length preserving motions are also determined for a number of fundamental examples and contrasting flexing and rigidity properties are obtained with respect to noncrossing motions in the space of smooth meshes.

KW - periodic net

KW - string-node net

KW - Rigidity

KW - flexibility

KW - Sierpinski mesh

U2 - 10.1007/s00454-017-9941-4

DO - 10.1007/s00454-017-9941-4

M3 - Journal article

VL - 59

SP - 31

EP - 58

JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

SN - 0179-5376

IS - 1

ER -