Astro Web Pattern using Python

 

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

theta = np.linspace(0, 8 * np.pi, 500)

z = np.linspace(-2, 2, 500)

r = z**2 + 1

x = r * np.sin(theta)

y = r * np.cos(theta)

t = np.linspace(0, 2 * np.pi, 50)

r_grid = np.linspace(0.1, 2.0, 10)

T, R = np.meshgrid(t, r_grid)

X_web = R * np.cos(T)

Y_web = R * np.sin(T)

Z_web = np.sin(3 * T) * 0.1

fig = plt.figure(figsize=(6, 6))

ax = fig.add_subplot(111, projection='3d')

ax.plot(x, y, z, color='white', lw=2)

for i in np.linspace(-2, 2, 10):

    ax.plot_surface(X_web, Y_web, Z_web + i, alpha=0.2, color='cyan', edgecolor='blue')

ax.set_title("Astro Web", fontsize=18, color='cyan')

ax.set_facecolor("black")

fig.patch.set_facecolor("black")

ax.grid(False)

ax.axis('off')

plt.show()

#source code --> clcoding.com

Code Explanation:

1. Importing Required Libraries

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

numpy is used for numerical operations and generating arrays.

 matplotlib.pyplot is used for plotting graphs.

 Axes3D enables 3D plotting in Matplotlib.

 2. Generating the Spiral Coordinates

theta = np.linspace(0, 8 * np.pi, 500)  # 500 angle values from 0 to 8π

z = np.linspace(-2, 2, 500)             # 500 evenly spaced height (z-axis) values

r = z**2 + 1                            # radius grows with height (parabolic growth)

theta controls the angle of rotation (spiral).

 z gives vertical position.

 r defines the radial distance from the center (makes the spiral expand outward).

 3. Convert Polar to Cartesian Coordinates

x = r * np.sin(theta)

y = r * np.cos(theta)

Converts polar coordinates (r, θ) to Cartesian (x, y) for 3D plotting.

 4. Creating the Web Grid (Circular Mesh)

t = np.linspace(0, 2 * np.pi, 50)         # 50 angles around the circle

r_grid = np.linspace(0.1, 2.0, 10)        # 10 radii from center to edge

T, R = np.meshgrid(t, r_grid)            # Create coordinate grid for circular web

X_web = R * np.cos(T)                    # X-coordinates of circular mesh

Y_web = R * np.sin(T)                    # Y-coordinates

Z_web = np.sin(3 * T) * 0.1              # Wavy pattern for the Z (height) of the web

These lines generate a circular, web-like mesh with sinusoidal (wavy) distortion.

 5. Initialize the 3D Plot

fig = plt.figure(figsize=(10, 8))                            # Create a figure

ax = fig.add_subplot(111, projection='3d')                   # Add 3D subplot

A 3D plotting area is set up with specified size.

 6. Plot the Spiral Structure

ax.plot(x, y, z, color='white', lw=2)                        # Main spiral thread

Plots the white spiral (thread of the "web").

 7. Add Web Layers in 3D

for i in np.linspace(-2, 2, 10):                              # Position 10 web layers along z-axis

    ax.plot_surface(X_web, Y_web, Z_web + i,                 # Stack circular meshes

                    alpha=0.2, color='cyan', edgecolor='blue')

Adds 10 translucent web layers with a light sine wave pattern.

 Z_web + i moves each circular mesh vertically.

 8. Styling and Aesthetics

ax.set_title("Astro Web", fontsize=18, color='cyan')        # Title with cosmic color

ax.set_facecolor("black")                                   # Set 3D plot background

fig.patch.set_facecolor("black")                            # Set figure background

ax.grid(False)                                              # Hide grid lines

ax.axis('off')                                              # Hide axes

Enhances the sci-fi/space theme with black background and cyan highlights.

 9. Display the Plot

plt.show()

Displays the final 3D Astro Web plot.