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Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. / Alexandrov, Victor.

In: Beitrage zur Algebra und Geometrie, Vol. 61, No. 2, 01.06.2020, p. 355-368.

Research output: Contribution to journal › Article › peer-review

Harvard

Alexandrov, V 2020, 'Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex', Beitrage zur Algebra und Geometrie, vol. 61, no. 2, pp. 355-368. https://doi.org/10.1007/s13366-019-00473-8

APA

Alexandrov, V. (2020). Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Beitrage zur Algebra und Geometrie, 61(2), 355-368. https://doi.org/10.1007/s13366-019-00473-8

Vancouver

Alexandrov V. Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Beitrage zur Algebra und Geometrie. 2020 Jun 1;61(2):355-368. doi: 10.1007/s13366-019-00473-8

Author

Alexandrov, Victor. / Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. In: Beitrage zur Algebra und Geometrie. 2020 ; Vol. 61, No. 2. pp. 355-368.

BibTeX

@article{6a5edacd0ff44c9ab710758abbd52f04,
title = "Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex",
abstract = "We derive fundamentally new equations that are satisfied by first-order flexes of a flexible polyhedron. Moreover, we indicate two sources of such new equations. These sources are the Dehn invariants and rigidity matrix. The equations derived provide us with fundamentally new necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex.",
keywords = "Dehn invatiant, Euclidean 3-space, Flexible polyhedron, Infinitesimal bending, Rigidity matrix, INVARIANT, VOLUME",
author = "Victor Alexandrov",
year = "2020",
month = jun,
day = "1",
doi = "10.1007/s13366-019-00473-8",
language = "English",
volume = "61",
pages = "355--368",
journal = "Beitrage zur Algebra und Geometrie",
issn = "0138-4821",
publisher = "Springer Berlin",
number = "2",

}

RIS

TY - JOUR

T1 - Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex

AU - Alexandrov, Victor

PY - 2020/6/1

Y1 - 2020/6/1

N2 - We derive fundamentally new equations that are satisfied by first-order flexes of a flexible polyhedron. Moreover, we indicate two sources of such new equations. These sources are the Dehn invariants and rigidity matrix. The equations derived provide us with fundamentally new necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex.

AB - We derive fundamentally new equations that are satisfied by first-order flexes of a flexible polyhedron. Moreover, we indicate two sources of such new equations. These sources are the Dehn invariants and rigidity matrix. The equations derived provide us with fundamentally new necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex.

KW - Dehn invatiant

KW - Euclidean 3-space

KW - Flexible polyhedron

KW - Infinitesimal bending

KW - Rigidity matrix

KW - INVARIANT

KW - VOLUME

UR - http://www.scopus.com/inward/record.url?scp=85074811013&partnerID=8YFLogxK

U2 - 10.1007/s13366-019-00473-8

DO - 10.1007/s13366-019-00473-8

M3 - Article

AN - SCOPUS:85074811013

VL - 61

SP - 355

EP - 368

JO - Beitrage zur Algebra und Geometrie

JF - Beitrage zur Algebra und Geometrie

SN - 0138-4821

IS - 2

ER -

ID: 22364526