11284
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Five Circles and the Golden Ratio
Place five circles of diameter
symmetrically about a given point. They intersect the unit circle at the vertices of a regular pentagon when
or
, where ϕ is the golden ratio, 1.61803….
Contributed by:
Sándor Kabai
SNAPSHOTS
RELATED LINKS
Five Disk Problem
(
Wolfram
MathWorld
)
Golden Ratio
(
Wolfram
MathWorld
)
PERMANENT CITATION
Sándor Kabai
"
Five Circles and the Golden Ratio
"
http://demonstrations.wolfram.com/FiveCirclesAndTheGoldenRatio/
Wolfram Demonstrations Project
Published: October 3, 2007
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
Hexagons and the Golden Ratio
Sándor Kabai
Geometric and Continued Fraction Expansion of the Golden Ratio
Adam Kelchner
Golden Spiral
Yu-Sung Chang
Mona Lisa and the Golden Rectangle
S. M. Blinder
Pentagon Spirals
Sándor Kabai
Golden Ratio Dividers
Steve Strain (Slippery Rock University of Pennsylvania)
Golden Ratio by the Fibonacci Sequence
Hector Zenil
The Golden Ratio in Arrangements of Octahedron, Cube, Tetrahedron, and Sphere
Sándor Kabai
Golden Section
Michael Schreiber
Op Art on Golden Rhombic Solids
Teja Krasek and Izidor Hafner
Related Topics
Golden Ratio
Plane Geometry
High School Algebra II and Trigonometry
High School Geometry
High School Mathematics
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+