soapSnake - understanding complex functions
Six features, in one intuitive display!
1) The 3D snake shows the complex behavior of f(x) over x.
2) The floor projection shows the real behavior.
3) The right projection shows the imaginary behavior.
4) The backprojection shows the complex plane.
5) The magnitude of f(x) is visualized in the thickness of the snake.
6) Finally, the rainbow colors of the added soap skin reflect the phase of f(x).
The function plots any complex function you like:
f(x) = exp(ix);
f(x) = x.^x;
f(x) = log(x);
f(x) = sin(i*x);
A couple of examples are added in the demo file.
NB: It is also possible to show the complex spectrum of (simple) time signals, however, sometimes the settings in the function must be chosen carefully!
Cite As
Job (2024). soapSnake - understanding complex functions (https://www.mathworks.com/matlabcentral/fileexchange/55531-soapsnake-understanding-complex-functions), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
Tags
Acknowledgements
Inspired by: TubePlot
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.