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GXWeb Fraction Trees Explorer

Unpacking the Stern-Brocot Continued Fraction

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Symbolic computations on this page use Nerdamer Symbolic JavaScript to 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 to Dr Keith Tognetti for pointing me in the direction of continued fractions many years ago and igniting in me a life-long passion, and to Dr 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?

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LEVEL
0 2.5 5
ROW
0 31 32

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Breaking Open the Stern-Brocot Continued Fraction

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Behind the Scenes

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About the Stern-Brocot Continued Fraction



 

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