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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
DETAILS
Based on this blog post:
http://eliotball.com/2012/04/10/complex-root-finding/
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
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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
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