Continued Fractions and The Gauss Map

Authors

Bruce Bates, University of WollongongFollow
Martin Bunder, University of WollongongFollow
Keith Tognetti, University of WollongongFollow

RIS ID

11962

Publication Details

Bunder, M. W., Tognetti, K. P. & Bates, B. Philip. (2005). Continued Fractions and The Gauss Map. Academia Paedagogica Nyiregyhaziensis. Acta Mathematica, 21 (2), 113-125.

Abstract

We discovered properties of the Gauss Map and its iterates using continued fractions. In particular, we find all points and show that the graph of an iterate over [0, 1/2] is symmetric to the graph of the next higher iterate over [1/2,1].