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Frieze Patterns in the Hyperbolic Plane

Published online by Cambridge University Press:  20 November 2018

C. W. L. Garner
C. W. L. Garner*
Affiliation:
Castleton Univ., Ottawa
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Abstract

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It is well known that in the Euclidean plane there are seven distinct frieze patterns, i.e. seven ways to generate an infinite design bounded by two parallel lines. In the hyperbolic plane, this can be generalized to two types of frieze patterns, those bounded by concentric horocycles and those bounded by concentric equidistant curves. There are nine such frieze patterns; as in the Euclidean case, their symmetry groups are and

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 1 , 01 March 1974 , pp. 45 - 50
Copyright
Copyright © Canadian Mathematical Society 1974

References

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