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- W1635015344 abstract "In this paper we study infinitesimal and finite flexibility for regular semidiscrete surfaces. We prove that regular 2-ribbon semidiscrete surfaces have one degree of infinitesimal and finite flexibility. In particular we write down a system of differential equations describing isometric deformations in the case of existence. Further we find a necessary condition of 3-ribbon infinitesimal flexibility. For an arbitrary $$nge 3$$ we prove that every regular n-ribbon surface has at most one degree of finite/infinitesimal flexibility. Finally, we discuss the relation between general semidiscrete surface flexibility and 3-ribbon subsurface flexibility. We conclude this paper with one surprising property of isometric deformations of developable semidiscrete surfaces." @default.
- W1635015344 created "2016-06-24" @default.
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- W1635015344 date "2015-09-03" @default.
- W1635015344 modified "2023-10-04" @default.
- W1635015344 title "Finite and Infinitesimal Flexibility of Semidiscrete Surfaces" @default.
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- W1635015344 doi "https://doi.org/10.1007/s40598-015-0025-3" @default.
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