Wormhole Twist 3D Pattern using Python

 import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

theta = np.linspace(0, 25 * np.pi, 1500) 

z = np.linspace(-4, 4, 1500)              

r = 1 / (z**2 + 1) + 0.5  

x = r * np.sin(theta)

y = r * np.cos(theta)

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

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

ax.plot(x, y, z, color='lime', linewidth=2)

ax.scatter(x, y, z, c=theta, cmap='cool', s=2)

ax.set_title('Wormhole Twist 3D Pattern', fontsize=18, color='white')

ax.set_facecolor('black')

fig.patch.set_facecolor('black')

ax.grid(False)

ax.set_xticks([])

ax.set_yticks([])

ax.set_zticks([])

plt.show()

#source code --> clcoding.com

Code Explanation:

1. Importing Libraries

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

numpy → For numerical calculations.

 matplotlib.pyplot → For plotting.

 Axes3D → To enable 3D plotting.

 2. Generating Data for the Spiral Structure

a) Theta → Angle for Rotation

theta = np.linspace(0, 25 * np.pi, 1500)

Generates 1500 values from 0 to 25π.

 Controls how many circular rotations (25 rotations).

 Bigger theta range = More twists.

 b) Z → Vertical Height

z = np.linspace(-4, 4, 1500)

Generates 1500 points from -4 to 4.

 Controls vertical length of the wormhole.

 c) Radius → Controls Distance from Center

r = 1 / (z**2 + 1) + 0.5

Formula gives a shape of a wormhole or funnel.

 Center is wider, ends are narrower.

 As z increases (top & bottom), r decreases.

 Why this formula?

 1 / (z² + 1) → Makes radius smaller at the top/bottom and bigger near the center (z=0).

 +0.5 → Adds minimum radius to avoid collapse to zero.

 3. Convert Polar to Cartesian Coordinates

x = r * np.sin(theta)

y = r * np.cos(theta)

Converts from (r, θ) to (x, y) for 3D plotting.

 4. Creating Plot Environment

fig = plt.figure(figsize=(10, 7))

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

Creates the figure and 3D axis.

5. Plotting the Wormhole Spiral Line

ax.plot(x, y, z, color='lime', linewidth=2)

Draws the spiral line.

 Color → lime green.

 Line thickness → 2.

 6. Adding Scatter Dots (Glow Effect)

ax.scatter(x, y, z, c=theta, cmap='cool', s=2)

Adds tiny dots along the spiral line.

 c=theta → Color depends on theta (angle).

 cmap='cool' → Gradient color (cyan to magenta).

 s=2 → Dot size.

 Effect:

Looks like energy particles swirling around the wormhole.

 7. Styling the Plot

ax.set_title('Wormhole Twist 3D Pattern', fontsize=18, color='white')

ax.set_facecolor('black')

fig.patch.set_facecolor('black')

ax.grid(False)

Adds the title in white color.

Sets background color to black for a space-like look.

Removes grid lines.

8. Removing Axis Ticks

ax.set_xticks([])

ax.set_yticks([])

ax.set_zticks([])

Hides x, y, z axis numbers for a clean visual design.

9. Display the Final 3D Plot

plt.show()

Displays the 3D plot.