Blog: 2025-11-08

This webapp graphs complex functions https://hemisemidemipresent.github.io/complex3/

This gamma function graph shows how you can plot the real and complex parts of a complex-valued function https://en.wikipedia.org/wiki/Gamma_function with the colors

This matplotlib

import matplotlib.pyplot as plt
import numpy as np
from mpl_toolkits.mplot3d import Axes3D

plt.rcParams['text.usetex'] = False

def real(n):
    return n.real

    
def faux_complex_function(x, y):
    return real((x + 1j * y)**2 + 1)

x = np.linspace(-2, 2, 100)
y = np.linspace(-2, 2, 100)
X, Y = np.meshgrid(x, y)
Z = faux_complex_function(X, Y)

fig = plt.figure(figsize=(12, 10))
ax = fig.add_subplot(111, projection='3d')
surf = ax.plot_surface(X, Y, Z)
ax.set_xlabel('Re(x)')
ax.set_ylabel('Im(x)')
ax.set_zlabel('$x^2$')
ax.set_title('Complex plot of $x^2$')
# plt.colorbar(surf)
plt.show()