Complex Function Grapher and Animator in Desmos

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Update 1.6 - Added Mapping of Parametric Functions:

Music by Vincent Rubinetti
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Before i know that i make one by using C++ and shader GLSL in OpenGL; and this take me much time —> Good think i learn C++, Graphizm ( easy for a mathematician😅) and I have good knowledge in computer and programming.

__hannibaal__
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My guess for the function at the very end is f(z)=sin(z) :D

danielrettich
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I made something similar on my channel a few years back if anyone's interested. It's less focused on making animations for videos and more on analyzing various 2D mappings so it has lots more features like checking what regions are analytical, finding roots, computing Jacobians, etc

The version I made the video on is kinda trash tho, but the newer version is linked in the top comment on my video

PartialScience
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This is an outstanding pedagogical tool! I wish we had something like this when studying complex analysis. I may have missed this in the video, but can the input be something other than a grid? (i.e. vertical and horizontal lines). Is it possible to map any relation?

jamesmott