Isogonal embeddings of interwoven and self-entangled honeycomb (hcb) nets and related interpenetrating primitive cubic (pcu) nets

Two- and three-periodic vertex-transitive (isogonal) piecewise-linear embeddings of self-entangled and interwoven honeycomb nets are described. The infinite families with trigonal symmetry and edge transitivity (isotoxal) are particularly interesting as they have the Borromean property that no two nets are directly linked. These also lead directly to infinite families of interpenetrating primitive cubic nets (pcu) that are also vertex- and edge-transitive and have embeddings with 90 ° angles between edges.

Source: Acta Crystallographica Section A - October 26, 2023 Category: Chemistry Authors: O'Keeffe, M. Treacy, M.M.J. Tags: honeycomb nets primitive cubic nets interwoven structures self-entangled structures piecewise-linear structures research papers Source Type: research