Geodesic
Frieze Patterns in the Hyperbolic Plane
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 45-50

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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 
Garner, C. W. L. Frieze Patterns in the Hyperbolic Plane. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 45-50. doi: 10.4153/CMB-1974-008-4
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     title = {Frieze {Patterns} in the {Hyperbolic} {Plane}},
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