# Graphing Continued Fractions of Quadratic Irrationals

Initializing live version

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Let , . The continued fraction of is either finite (when is a perfect square so that is rational) or eventually periodic (when is not a perfect square so that is irrational).

[more]
Contributed by: George Beck (July 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Reference

[1] E. R. Burger, "A Tail of Two Palindromes," *The American Mathematical Monthly*, 112, 2005 pp. 311–321. mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=3154.

## Permanent Citation