11454
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Short Simple Continued Fractions
Play with the continued fraction:
Notice that it increases with
,
,
and decreases with
and
.
The numbers π, ϕ,
,
are given by the sequences
.
Contributed by:
George Beck
SNAPSHOTS
RELATED LINKS
Continued Fraction
(
Wolfram
MathWorld
)
Quadratic Surd
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Short Simple Continued Fractions
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ShortSimpleContinuedFractions/
Contributed by:
George Beck
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Graphing Continued Fractions of Quadratic Irrationals
George Beck
Geometric and Continued Fraction Expansion of the Golden Ratio
Adam Kelchner
The Euclidean Algorithm and Simple Continued Fractions
?tefan Porubský
Continued Fractions
Stephen Wolfram
Geometric Mean of Continued Simple Fraction Terms
Michael Trott
Repeating Continued Fractions
Ed Pegg Jr
Fraction Tree and Continued Fractions
David W. Carraher
p-Adic Continued Fractions
Eric Errthum
Normal Distribution with Continued Fractions
Andreas Lauschke
Continued Fraction Approximations
Michael Trott
Related Topics
Number Theory
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+