Farey Addition

Robert P. Munafo, 1998 Jan 7.

An operation performed on two rational numbers (expressed as fractions) in which you add the numerators together and add the denominators together (or, as your children might say, adding fractions the way you always wanted to!).

The result of a Farey addition is always somewhere between the two original fractions.

If the two original fractions have no fraction between them with a smaller denominator (example: 1/3 and 1/2) then the result of the Farey addition is the fraction with smallest denominator between them (in this example, 2/5).

Farey addition gives the internal angle of the inner neighbor of two mu-atoms.

See also smaller neighbor, larger neighbor.


From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo.     Mu-ency index

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