11453
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Powers of Complex Roots
This Demonstration plots each of the
roots (in red) of a complex number
(the locator) to all of the powers between 1 and
, showing the curve these powers trace on an Argand diagram.
Contributed by:
Eliot Ball
THINGS TO TRY
Drag Locators
Automatic Animation
SNAPSHOTS
RELATED LINKS
Argand Diagram
(
Wolfram
MathWorld
)
Complex Number
(
Wolfram
MathWorld
)
Complex Plane
(
Wolfram
MathWorld
)
Imaginary Number
(
Wolfram
MathWorld
)
Root of Unity
(
Wolfram
MathWorld
)
Roots of a Complex Number
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Eliot Ball
"
Powers of Complex Roots
"
http://demonstrations.wolfram.com/PowersOfComplexRoots/
Wolfram Demonstrations Project
Published: April 16, 2012
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
Powers of Complex Numbers
Michael Schreiber
Roots of Complex Numbers
John Kiehl
nth Roots of a Complex Number
Ken Levasseur (UMass Lowell)
The Roots of Unity in the Complex Plane
Rudolf Muradian
Complex Roots of a Polynomial and Its Derivative
Michael Schreiber
Complex Number
?tefan Porubský
Complex Polynomials
Ed Pegg Jr
Root Routes
John Kiehl
Roots of Unity
Ruth Dover
Rotating by Powers of i
Michael Schreiber
Related Topics
Complex Analysis
Complex Numbers
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSN-CN.A.1
HSN-CN.A.2
HSN-CN.B.4
HSN-CN.B.5
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+