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Geometric Criteria for Realizability of Tensegrities in Higher Dimensions
SIAM Journal on Discrete Mathematics ( IF 0.9 ) Pub Date : 2021-04-07 , DOI: 10.1137/19m1281903
Oleg Karpenkov , Christian Mueller

SIAM Journal on Discrete Mathematics, Volume 35, Issue 2, Page 637-660, January 2021.
In this paper we study a classical Maxwell question on the existence of self-stresses for frameworks, which are called tensegrities. We give a complete answer on geometric conditions of at most $(d+1)$-valent tensegrities in $d$-dimensional space both in terms of discrete multiplicative 1-forms and in terms of “join” and “intersection” operations in projective geometry.


中文翻译:

高维张拉整体可实现性的几何标准

SIAM 离散数学杂志,第 35 卷,第 2 期,第 637-660 页,2021
年1 月。在本文中,我们研究了一个经典的麦克斯韦问题,即框架自应力的存在,称为张拉整体。我们在离散乘法 1-形式和“连接”和“交集”操作方面给出了在 $d$ 维空间中至多 $(d+1)$-价张整体的几何条件的完整答案射影几何。
更新日期:2021-04-07
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