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- W3089237418 abstract "Three-dimensional configurations are called angle-rigid if they cannot be deformed without changing distances between first neighbors or angles formed by pairs of first neighbors. This notion is connected with the local minimality of collections of points with respect to configurational energies featuring two- and three-body interactions. We investigate angle-rigidity for finite configurations in $mathbb{Z}^2$, seen as planar three-dimensional point sets. A sufficient condition preventing angle-rigidity is presented. This condition is also proved to be necessary when restricted to specific subclasses of configurations." @default.
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- W3089237418 date "2020-09-24" @default.
- W3089237418 modified "2023-09-27" @default.
- W3089237418 title "Angle-rigidity for $mathbb{Z}^2$ configurations" @default.
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