Mathematica MathWorld Wolfram Science More »

The Complex Unit Circle


	The points of the complex unit circle can be parametrized: , . This Demonstration shows 3D projections of the surface in space. The angles denote the rotation angles inside the hyperplane. In the limit, as , the complex unit circle becomes a circle in the plane.


	Contributed by: Michael Trott with permission of Springer From: The Mathematica GuideBook for Graphics, second edition by Michael Trott (© Springer, 2008).
	Show Initialization Code

For a detailed discussion of the complex unit circle, see

R. Hammack, "A Geometric View of Complex Trigonometric Functions," College Mathematics Journal, 38(3), 2007 pp. 210-217.

Contributed by: Michael Trott with permission of Springer

From: The Mathematica GuideBook for Graphics, second edition by Michael Trott (© Springer, 2008).

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

RSS

Atom