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

Victor Alexandrov

doi:10.1007/s13366-019-00473-8

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

Victor Alexandrov

Кафедра высшей математики ФФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	355-368
Число страниц	14
Журнал	Beitrage zur Algebra und Geometrie
Том	61
Номер выпуска	2
DOI	https://doi.org/10.1007/s13366-019-00473-8
Состояние	Опубликовано - 1 июн. 2020

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10.1007/s13366-019-00473-8

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

В: Beitrage zur Algebra und Geometrie, Том 61, № 2, 01.06.2020, стр. 355-368.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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