Image: ExpIPi
ExpIPi.gif (360 × 323 pixels, file size: 11 KB, MIME type: image/gif, looped, 9 frames, 4.5 s)
Description: This is a demonstration that Exp(i*Pi)=-1 (called Euler's formula, or Euler's identity). It uses the formula (1+z/N)^N --> Exp(z) (as N increases). The Nth power is displayed as a repeated multiplication in the complex plane. As N increases, you can see that the final result (the last point) approaches -1, the actual value of Exp(i*pi).
Title: ExpIPi
Credit: This diagram was created with Mathematica.
Author: Sbyrnes321
Usage Terms: Public domain
License: Public domain
Attribution Required?: No
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