©2022 Compass Learning Technologies ← GXWeb Farey Numbers, Fraction Trees and Kissing Circles → GXWeb Fraction Trees Explorer

## GXWeb Fraction Trees Explorer

## Unpacking the Stern-Brocot Continued Fraction

Saltire Software, home of Geometry Expressions and GXWeb

Symbolic computations on this page useNerdamer Symbolic JavaScriptto complement the in-built CAS of GXWeb

Chaos in Numberland: The secret life of continued fractions by John D. Barrow

Explore Bill Gosper (1972): Continued Fraction Arithmetic

Calkin and Wilf (1999): Recounting the Rationals

Bruce Bates (2014): The Stern-Brocot Continued Fraction

Bates, B., Bunder, M. and Tognetti, K. (2010): Linking the Calkin–Wilf and Stern–Brocot trees

Unpacking the Stern-Brocot Continued Fraction (YouTube: 7:34)

With thanks toDr Keith Tognettifor pointing me in the direction of continued fractions many years ago and igniting in me a life-long passion, and toDr Bruce Bates(both of the University of Wollongong) for revealing the beautiful Stern-Brocot Continued Fraction

## Did You Know that

Fractions Grow on Trees?## Or that

(Fraction) Trees Can Grow from (Continued) Fractions?

About the Stern-Brocot Continued Fraction

LEVEL 0 2.5 5 ROW 0 31 32 App generated by GXWeb

About the Stern-Brocot Continued Fraction

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About the Stern-Brocot Continued Fraction

Breaking Open the Stern-Brocot Continued Fraction

About the Stern-Brocot Continued Fraction

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About the Stern-Brocot Continued Fraction

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About the Stern-Brocot Continued Fraction

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About the Stern-Brocot Continued Fraction

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About the Stern-Brocot Continued Fraction

©2022 Compass Learning Technologies ← GXWeb Farey Numbers, Fraction Trees and Kissing Circles ← GXWeb Fraction Trees Explorer