Text to Image
import numpy as np
import matplotlib.pyplot as plt
# Parameters
width, height = 800, 800
zoom = 1.5
escape_radius = 10
iterations = 50
phi = (1 + np.sqrt(5)) / 2 # Golden ratio
# Setup complex plane
x = np.linspace(-zoom, zoom, width)
y = np.linspace(-zoom, zoom, height)
X, Y = np.meshgrid(x, y)
Z = X + 1j * Y
C = np.copy(Z)
# Initialize arrays
escape = np.zeros(Z.shape)
angle = np.zeros(Z.shape)
# Iteration loop
for i in range(iterations):
# Apply weird recursive fractal formula
Z = (Z**phi * np.exp(1j * np.pi * Z)) / (1 + np.sin(Z))
# Mask of points that haven't escaped yet
mask = np.abs(Z) < escape_radius
# Store angle and iteration info
angle[mask] = np.angle(Z[mask])
escape[mask] = i + 1 - np.log(np.log2(np.abs(Z[mask]) + 1e-10)) # smooth
# Normalize and map to HSV
hue = (angle % (2 * np.pi)) / (2 * np.pi)
saturation = np.abs(np.sin(np.abs(Z)))
value = np.clip(escape / iterations, 0, 1)
# Combine HSV and convert to RGB
HSV = np.stack((hue, saturation, value), axis=-1)
RGB = plt.cm.hsv(HSV[..., 0]) * HSV[..., 1][..., None]
RGB[..., :3] *= HSV[..., 2][..., None] # Apply brightness
# Show result
plt.figure(figsize=(8, 8))
plt.imshow(RGB, extent=(-zoom, zoom, -zoom, zoom))
plt.axis("off")
plt.title("Alien Fractal Miner")
plt.show()
