Abstract
Continued fractions play an important role in the geometry of numbers. In this chapter we describe a classical geometric interpretation of regular continued fractions in terms of integer lengths of edges and indices of angles for the boundaries of convex hulls of all integer points inside certain angles. In the next chapter we will extend this construction to construct a complete invariant of integer angles. For the geometry of continued fractions with arbitrary elements see Chap. 11.
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© 2013 Springer-Verlag Berlin Heidelberg
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Karpenkov, O. (2013). Geometry of Regular Continued Fractions. In: Geometry of Continued Fractions. Algorithms and Computation in Mathematics, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39368-6_3
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DOI: https://doi.org/10.1007/978-3-642-39368-6_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-39367-9
Online ISBN: 978-3-642-39368-6
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