9464
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Rotating by Powers of
i
Multiply or divide coordinates on the unit circle by
,
,
, or
, where
is the imaginary unit
. Drag the black circle around the circle.
Contributed by:
Michael Schreiber
SNAPSHOTS
RELATED LINKS
Imaginary Unit
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Rotating by Powers of
i
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/RotatingByPowersOfI/
Contributed by:
Michael Schreiber
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
All Possible Sums and Differences of Powers
Michael Trott
Jensen's Disks
Michael Schreiber
The Roots of Unity in the Complex Plane
Rudolf Muradian
Riemann Surface Transition
Michael Trott
Powers of Complex Roots
Eliot Ball
Cotes Identity
Michael Schreiber
The Geometry of Integrating a Power around the Origin
John Custy
Complex Roots of a Polynomial and Its Derivative
Michael Schreiber
The Action of the Modular Group on the Fundamental Domain
Andrzej Kozlowski
Related Topics
Algebra
Complex Analysis
Complex Numbers
Group Theory
Representations of Numbers
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
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+