In the study of Diophiantine approximations they are called equivalent to phi: x and y are equivalent, if there are integer a,b,c,d with ad-bc = 1 and y = (ax+b)/(cx+d). It's also related to Hurwitz's theorem ( https://en.wikipedia.org/wiki/Hurwitz%27s_theorem_(number_theory) ) as the most badly approximable irrationals. On Thu, Dec 21, 2017 at 3:47 PM, Henry Baker <hbaker1@pipeline.com> wrote:

Is there a name for irrational numbers whose continued fractions eventually become all one's ?

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