11209
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Gauss's Circle Problem
Count the number of lattice points
inside the boundary of a circle of radius
r
with center at the origin. Then
can be written
, where Gauss showed that
.
Contributed by:
Eric W. Weisstein
THINGS TO TRY
Slider Zoom
SNAPSHOTS
RELATED LINKS
Gauss Circle Problem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Gauss's Circle Problem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/GausssCircleProblem/
Contributed by:
Eric W. Weisstein
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
Lattice Circles
Ed Pegg Jr
Buffon's Needle Problem
Ed Pegg Jr and Eric W. Weisstein
Clean Tile Problem
Jacqueline D. Wandzura and Stephen M. Wandzura
Chord Diagrams for Motzkin Numbers
Robert Dickau
Self-Avoiding Paths through a Lattice
Robert Dickau
Fibonacci and Padovan Spiral Identities
Robert Dickau
Sphere-of-Influence Graphs
Edray Herber Goins and Talitha M. Washington
One-Sided Polyominoes
Michael John Twardos
Canonical Polygons
Keith Schneider
Schinzel's Theorem
Jay Warendorff
Related Topics
Discrete Mathematics
Plane Geometry
High School Finite Mathematics
High School Geometry
High School Mathematics
Puzzles and Recreations: Advanced
School Puzzles and Recreations
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+