Square Representation of Farey Sequences
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The Farey sequence of order runs over all the irreducible rational numbers between 0 and 1 with denominator at most
, constructed by the Farey addition of consecutive pairs of terms from the previous Farey sequence. The Farey addition of two given fractions
and
is defined as
.
Contributed by: Carlos Enrique Nosa Guzman (August 2022)
Open content licensed under CC BY-NC-SA
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This Demonstration is based on [1, Chapter 1].
Reference
[1] A. Hatcher, Topology of Numbers, New York: Cornell University, 2018.
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