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Geometric flexibility in sodalite frameworks

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Foams and Minimal Surfaces

Co-author: Ileana Streinu (Smith College)

O’Keeffe proposed generalizing the graph of the sodalite tetrahedral structure to arbitrary dimension by taking as vertices the holes of the A*d lattice sphere packing and connecting nearest neighbours. A second d-periodic graph is obtained by replacing vertices with d-simplices which share one apex when corresponding vertices are connected by an edge. We investigate the geometric deformations of these two related periodic structures.

This talk is part of the Isaac Newton Institute Seminar Series series.

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