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Geometric flexibility in sodalite frameworks

Borcea, CS (Rider University)
Tuesday 25 February 2014, 14:35-14:55

Seminar Room 1, Newton Institute


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.


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