Complex Function Animator: Polar Domain Coloring Plot
Define a function \(f(z,p)\) with input complex number \(z\) and real parameter \(p\).
This plot animates the function plot of \(f(z,p)\) as you scroll through values of \(p\).
Adjust \(p\) by defining a function \(p=g(t)\) from \([0,1]\) to whatever you want your values of \(p\) to be.
I recommend making \(g(t)\) linear. For example: \(g(t)=p_{start}+(p_{end}-p_{start})t\)
where \(p_{start}\) and \(p_{end}\) are the starting and ending values of \(p\) you want to explore
You can create a smoother animation by creating more steps, but this will increase the time needed to generate the animation.
Enter your function here:
\(f(z,p)= \) →
\(p=g(t)= \), \(t \in [0,1]\) →
\(r \in\) [0,]
\(r\) scale:
steps:
\(I(z)=z\)
Animation frames (Right click or drag and drop to save)