11454
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Golden Spiral
This Demonstration draws an approximation to a golden spiral using a golden rectangle.
Contributed by:
Yu-Sung Chang
THINGS TO TRY
Automatic Animation
SNAPSHOTS
DETAILS
By successively drawing an arc between vertices of each square in a golden rectangle, you can approximate a golden spiral.
A golden spiral is a logarithmic spiral that goes through successive points dividing a golden rectangle into squares.
RELATED LINKS
Golden Ratio
(
Wolfram
MathWorld
)
Golden Rectangle
(
Wolfram
MathWorld
)
Golden Spiral
(
Wolfram
MathWorld
)
Logarithmic Spiral
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Golden Spiral
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/GoldenSpiral/
Contributed by:
Yu-Sung Chang
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
Geometric and Continued Fraction Expansion of the Golden Ratio
Adam Kelchner
The Ulam Prime Spiral
Christopher Skiscim
Mona Lisa and the Golden Rectangle
S. M. Blinder
Experimenting with the Ulam Spiral
Giovanna Roda
Golden Ratio by the Fibonacci Sequence
Hector Zenil
Hexagons and the Golden Ratio
Sándor Kabai
Five Circles and the Golden Ratio
Sándor Kabai
Spiral Explorer
Michael Croucher
Nested Square Root Representation of the Golden Ratio
S. M. Blinder
Padovan's Spiral Numbers
Robert Dickau
Related Topics
Classic Scientific Images
College Mathematics
Curves
Golden Ratio
Number Theory
Plane Geometry
High School Algebra II and Trigonometry
High School Mathematics
School Art and Design
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
3.G.A.2
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+