Image icon  Penrose Tiling

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Description: This picture shows a pattern for Penrose tiling, which was constructed using the Penrose substitution rule: the projection is from a lattice in five dimensions to the plane. A Penrose tiling is a non-periodic tiling generated by an aperiodic set of prototiles named after Sir Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original. Eventually, it emerged that the atoms in tquasicrystals were arranged like Penrose tiling patterns.
Keywords: Penrose tiling • five-fold • non-periodic • crystal structure • quasicrystal
Categories: Science approaches > Structure, bonding & defects > Crystal structure
Science approaches > Structure, bonding & defects > Crystallography
Applications > Arts & crafts
Created by: Edmund Harriss, University of Arkansas
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Date created: 02 June 2011
Date added: 06 October 2011
Resource ID: 3732