# Definition:Wythoff Pair

## Definition

A Wythoff pair is an ordered pair of integers of the form:

$\tuple {\floor {k \phi}, \floor {k \phi^2} }$

where:

$\phi$ denotes the golden section: $\phi = 1 \cdotp 618 \ldots$
$\floor x$ denotes the floor of $x$
$k$ signifies a positive integer: $k \in \Z_{\ge 0}$.

Thus the coordinates of a Wythoff pair are corresponding terms of the lower and upper Wythoff sequences.

## Source of Name

This entry was named for Willem Abraham Wythoff.