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
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