An irreducible fraction is a fraction
such that
and
have no common factor. This definition applies to ratios of ordinary integers as well as to Gaussian integers, which are of the form
a+b i, where
a and
b are integers and
. By rationalizing the denominator, such complex fractions can be put in the form
, where
and
are real fractions;
are the numbers plotted.
Heavily based on code by Michael Trott in
The Mathematica GuideBook for Graphics New York: Springer-Verlag, 2004.
