On stratifications for planar tensegrities with a small number of vertices
Oleg Karpenkov, Jan Schepers, Brigitte Servatius
TL;DR
This paper explores the structure of configuration spaces of planar tensegrities with few vertices, introduces a new surgery technique for 3D tensegrities, and discusses open problems in stratification spaces.
Contribution
It presents new geometric conditions for tensegrities, introduces a novel surgery method for 3D tensegrities, and formulates open problems in the stratification of tensegrity configuration spaces.
Findings
Geometric conditions for 2D tensegrities with few points
A new surgery technique for 3D tensegrities
Open problems in stratification space of tensegrities
Abstract
In this paper we discuss several results about the structure of the configuration space of two-dimensional tensegrities with a small number of points. We briefly describe the technique of surgeries that is used to find geometric conditions for tensegrities. Further we introduce a new surgery for three-dimensional tensegrities. Within this paper we formulate additional open problems related to the stratification space of tensegrities.
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Taxonomy
TopicsStructural Analysis and Optimization · Computational Geometry and Mesh Generation · Advanced Materials and Mechanics