Ultrarigid periodic frameworks
نویسندگان
چکیده
We give an algebraic characterization of when a d-dimensional periodic framework has no non-trivial, symmetry preserving, motion for any choice of periodicity lattice. Our condition is decidable, and we provide a simple algorithm that does not require complicated algebraic computations. In dimension d = 2, we give a combinatorial characterization in the special case when the the number of edge orbits is the minimum possible for ultrarigidity. All our results apply to a fully flexible, fixed area, or fixed periodicity lattice.
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عنوان ژورنال:
- CoRR
دوره abs/1404.2319 شماره
صفحات -
تاریخ انتشار 2014