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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 22, No. 3, pp. 217-235 (2006)
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Linkages between the Gauss Map and the Stern-Brocot Tree

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Bruce Bates, Martin Bunder, Keith Tognetti

University of Wollongong

**Abstract:** We discover a bijective map between the Gauss Map and the left-half of the Stern-Brocot Tree. The domain of the Gauss Map is then extended to cover all reals, and the coverage of the Stern-Brocot Tree is extended to include all positive and negative rationals in a manner that preserves the map between the two constructions.

**Keywords:** Gauss Map, Stern-Brocot Tree.

**Classification (MSC2000):** 11A55; 05C05

**Full text of the article:**

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