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Linking (n − 2)-dimensional panels inn-space II: (n − 2, 2)-frameworks and body and hinge structures

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Abstract

An (n − 1, 2)-framework inn-space is a structure consisting of a finite set of (n − 2)-dimensional panels and a set of rigid bars each joining a pair of panels using ball joints. A body and hinge (or (n + 1,n − 1)-) framework inn-space consists of a finite set ofn-dimensional bodies articulated by a set of (n − 2)-dimensional hinges, i.e., joints in 2-space, line hinges in 3-space, plane-hinges in 4-space, etc. In this paper we characterize the graphs of all rigid (n − 1, 2)- and (n + 1,n − 1)-frameworks inn-space. Rigidity here is statical rigidity or equivalently infinitesimal rigidity.

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  1. Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 0511, Singapore

    Tiong-Seng Tay

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  1. Tiong-Seng Tay
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Tay, TS. Linking (n − 2)-dimensional panels inn-space II: (n − 2, 2)-frameworks and body and hinge structures. Graphs and Combinatorics 5, 245–273 (1989). https://doi.org/10.1007/BF01788678

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  • DOI: https://doi.org/10.1007/BF01788678

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