Frieze Pattern

In general, a frieze consists of repeated copies of a single motif.

  b ; a  d;  c

Conway and Guy (1996) define a frieze pattern as an arrangement of numbers at the intersection of two sets of perpendicular diagonals such that a+d=b+c+1 (for an additive frieze pattern) or ad=bc+1 (for a multiplicative frieze pattern) in each diamond.

See also

Frieze Group, Tessellation, Tiling

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Conway, J. H. and Coxeter, H. S. M. "Triangulated Polygons and Frieze Patterns." Math. Gaz. 57, 87-94, 1973.Conway, J. H. and Guy, R. K. In The Book of Numbers. New York: Springer-Verlag, pp. 74-76 and 96-97, 1996.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 83-84, 1991.

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Frieze Pattern

Cite this as:

Weisstein, Eric W. "Frieze Pattern." From MathWorld--A Wolfram Web Resource.

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