Constructing an Octagonal Structure by Projection in Two Stages

Author: BEN-ABRAHAM S.  

Publisher: Taylor & Francis Ltd

ISSN: 0015-0193

Source: Ferroelectrics, Vol.305, Iss.1, 2004-01, pp. : 29-32

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Abstract

I projected a 4D simple cubic lattice into 3D so that a further projection to 2D yields an octagonal structure. A 4D cube projects into a 3D hexagonal prism segment. The final result is a layer structure quasiperiodic in one direction and periodic in the perpendicular plane. The structure promises to be useful as a simple model of an aperiodic crystal.