Plasma Whirl 3D Pattern using Python

 

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

theta = np.linspace(0, 15 * np.pi, 1000)  

z = np.linspace(-3, 3, 1000)              

r = np.abs(np.sin(5 * z)) + 0.5

x = r * np.cos(theta)

y = r * np.sin(theta)

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

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

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

ax.scatter(x, y, z, c=np.abs(z), cmap='plasma', s=2)

ax.set_title('Plasma Whirl 3D Pattern', fontsize=18, color='yellow')

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 Required Libraries

import numpy as np

import matplotlib.pyplot as plt

from mpl_toolkits.mplot3d import Axes3D

numpy → For mathematical operations and creating data points.

 matplotlib.pyplot → For plotting the graph.

 Axes3D → To enable 3D plotting.

 2. Creating Data for the Spiral Structure

a) Angle Values for Rotation

theta = np.linspace(0, 15 * np.pi, 1000)

Creates values from 0 to 15π (about 7.5 full rotations).

 Controls the circular rotation of the plot.

 b) Z-Axis Values for Height

z = np.linspace(-3, 3, 1000)

Creates points from -3 to 3.

 Controls the vertical spread of the spiral.

 c) Radius for Distance from Center

r = np.abs(np.sin(5 * z)) + 0.5

Radius is dynamic, based on a sine wave of z.

 5 * z → Controls the frequency of waves.

 np.abs() → Ensures radius is always positive.

 +0.5 → Minimum radius to avoid collapse to center.

 This makes the radius oscillate — creating a whirl or spiral wave effect.

 3. Converting to Cartesian Coordinates

x = r * np.cos(theta)

y = r * np.sin(theta)

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

 4. Creating the Plotting Environment

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

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

Sets the plot size.

 Adds a 3D plot axis.

 5. Plotting the Spiral Line (Main Structure)

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

Draws the spiral line.

 Color → magenta.

 Line thickness → 2.

 6. Adding Scatter Dots (Plasma Energy Effect)

ax.scatter(x, y, z, c=np.abs(z), cmap='plasma', s=2)

Adds glowing dots along the spiral.

 c=np.abs(z) → Color of dots depends on z height.

 cmap='plasma' → Plasma color gradient (yellow-pink-purple).

 s=2 → Size of the dots.

 This gives it the "energy plasma" vibe.

 7. Styling the Plot

ax.set_title('Plasma Whirl 3D Pattern', fontsize=18, color='yellow')

ax.set_facecolor('black')

fig.patch.set_facecolor('black')

ax.grid(False)

Title in yellow color.

 Black background for clean and futuristic look.

 No grid lines for simplicity.

 8. Removing Axis Ticks

ax.set_xticks([])

ax.set_yticks([])

ax.set_zticks([])

Hides x, y, z axis ticks for a pure design look.

 9. Display the Final 3D Plot

plt.show()

Shows the final plot.