34 citations · 73 across the 15 of their papers we have counts for
Showing 2016 · math.MGShow all
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math.MG2016
Auxetic deformations and elliptic curves
Ciprian S. Borcea, Ileana Streinu
The problem of detecting auxetic behavior, originating in materials science and mathematical crystallography, refers to the property of a flexible periodic bar-and-joint framework…
math.MG2016★ 2 cited
New principles for auxetic periodic design
Ciprian S. Borcea, Ileana Streinu
We show that, for any given dimension , the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite. We rely on a purely geometric…
math.MG2016★ 1 cited
Geometric deformations of sodalite frameworks
Ciprian S. Borcea, Ileana Streinu
In mathematical crystallography and computational materials science, it is important to infer flexibility properties of framework materials from their geometric representation. We…