Specify function and domain and I'll generate a plot of it on the complex plane.
Example: [math]f(z)=\frac{1}{z}[/math] from [math](-1-i)[/math] to [math](1+i)[/math].
>>8085106
Here's what the example looks like.
>>8085106
does it have to be in closed form?
can you plot a color map for reference? (is it f(z) = |z| ? or does it account for real and imaginary part?)
[math]f(z) = exp(z)[/math] between (-1-i) and (1+i) pls
>>8085113
It accounts for real and imaginary parts.
Here's your function.
>>8085106
[math] f(z) = z + \frac{1}{z} [/math] from (-1-i) to (1+i)
>>8085123
Here's your function.
>>8085113
It's still WIP, so closed form only.
The color is based on arg().
I can also do animated functions.
Here's one I made a few days ago.
>>8085150
Here you go, the quality is shit though.
I'll fix that later.
>>8085150
>>8085158
Fixed the quality.
>>8085165
How about, [math]f(z) = \frac{z^t - 1}{z^t + 1}[/math] (-i-1) to (1+i) for t = -1 to 1
>>8085170
Here you go.
>>8085173
Thanks, out of curiosity, what was the input for the first animation you gave?
>>8085184
[math]f(z) = \frac{z^2 + z + 1 + z^{-1} + z^{-2}}{t(cos(t)+isin(t))}[/math], [math](-10-10i)[/math] to [math](10+10i)[/math], [math]t = -\pi[/math] to [math]\pi[/math]
>>8085106
What software are you using? Or did you write a shader or something?
>>8085106
[math] f(z) = \frac{1}{z} [/math], for [math] z [/math] from [math] -sin t -i sin t [/math] to [math] sin t + i sin t [/math], [math] t [/math] from [math] 0 [/math] to [math] \pi [/math]
f(z)= zeta(z) from (-1-i) to (1+I)
[math]f(z) = z^n,[/math] for [math]z[/math] from [math]1 - \pi i[/math] to [math]1 + \pi i[/math], [math]n[/math] from [math]0[/math] to [math]\pi [/math]
