9893
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Patterns for Functions on the Gaussian Integers
A complex-valued function is applied to the Gaussian integers in a square centered at the origin, showing nested patterns and motifs.
Contributed by:
Daniel de Souza Carvalho
Additional work by:
Jeff Bryant
SNAPSHOTS
RELATED LINKS
Gaussian Integer
(
Wolfram
MathWorld
)
Complex Number
(
Wolfram
MathWorld
)
Matrix
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Patterns for Functions on the Gaussian Integers
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PatternsForFunctionsOnTheGaussianIntegers/
Contributed by:
Daniel de Souza Carvalho
Additional work by:
Jeff Bryant
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
Mapping a Square by Complex Functions
Chris Boucher
Roots of Complex Numbers
John Kiehl
nth Roots of a Complex Number
Ken Levasseur (UMass Lowell)
Root Routes
John Kiehl
Number Systems Using a Complex Base
Jarek Duda
The Geometry of Integrating a Power around the Origin
John Custy
Complex Mapping of Contours and Regions
Ryan Keelty Smith (Wolfram Research)
The Perturbed Rat
Elizabeth Russell, Sebastian Marotta, and Jeff Hamrick
Irreducible Gaussian Fractions
Eric W. Weisstein
q-Cosine and q-Sine Functions over the Extended Complex q-Plane
Michael Trott
Related Topics
College Mathematics
Complex Analysis
Complex Numbers
Visual Patterns
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+