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. Author manuscript; available in PMC: 2017 Dec 4.
Published in final edited form as: SIAM J Appl Algebr Geom. 2017 Aug 3;1(1):442–458. doi: 10.1137/16M1088259

Figure 10.

Figure 10

Auxetic mechanism. The fragment shows three floors. Alternative view as “breathing stacked roofs”. Inhaling is auxetic. The one degree of freedom deformation can be parametrized by the dihedral angle of a roof. The floors vary accordingly. The framework edges are all contained in roof planes. Floors contain no edges but must respect periodicity constraints.