continued fraction

One of the most striking and powerful means of presenting numbers is completely ignored in the mathematics that is taught in schools, and it rarely makes an appearance in university courses. Yet the continued fraction is one of the most revealing representations of many numbers, sometimes containing extraordinary patterns and symmetries. John D. Barrow explains.

Tags: chaos : convergence : golden ratio : probability distribution : continued fraction : rational approximation : Levy's constant : Khinchin's constant : gear