RIS ID

18044

Publication Details

Bates, B. Philip., Bunder, M. W. & Tognetti, K. P. (2006). Linkages between the Gauss map and the Stern-Brocot tree. Academia Paedagogica Nyiregyhaziensis. Acta Mathematica, 22 (3), 217-235.

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.

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