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Additive frieze patterns and multiplication tables
Published online by Cambridge University Press: 22 September 2016
Extract
A frieze pattern is an array of numbers arranged in staggered rows, like the bricks in a wall. In the case of a multiplicative frieze pattern the top and bottom rows consist entirely of ones, and for each ‘diamond’ of four elements
the unimodular rule
ad = bc + 1 (2)
holds. These frieze patterns have many curious properties, and for further details the reader is referred to the article Triangulated polygons and frieze patterns by J. H. Conway and H. S. M. Coxeter which appeared in Gazette 57, 87–94 and 175–183 (1973).
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- Copyright © Mathematical Association 1976
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