3D Spiral Staircase Pattern using Python

 import numpy as np

import matplotlib.pyplot as plt

fig = plt.figure()

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

num_steps = 50         

height_per_step = 0.2  

radius = 2             

theta = np.linspace(0, 4 * np.pi, num_steps)  

x = radius * np.cos(theta)

y = radius * np.sin(theta)

z = height_per_step * np.arange(num_steps)

ax.scatter(x, y, z, c='brown', s=100, label='Steps')

ax.plot([0,0], [0,0], [0, z[-1]+1], color='grey', linestyle='--', linewidth=2, label='Central Pole')

ax.set_xlabel('X')

ax.set_ylabel('Y')

ax.set_zlabel('Z (height)')

ax.legend()

plt.show()

#source code --> clcoding.com 

Code Explanation:

1. Import Libraries

import numpy as np

import matplotlib.pyplot as plt

numpy for numerical operations and array handling.

matplotlib.pyplot for plotting graphs.

 2. Create Figure and 3D Axes

fig = plt.figure()

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

Creates a new plotting figure.

Adds a 3D subplot to the figure (one plot, with 3D projection).

 3. Define Parameters for Staircase

num_steps = 50         # Number of steps in the staircase

height_per_step = 0.2  # Height increase for each step

radius = 2             # Radius of spiral path

Sets how many steps.

How much each step rises vertically.

How far each step is from the center.

 4. Calculate Step Angles

theta = np.linspace(0, 4 * np.pi, num_steps)

Creates num_steps angles evenly spaced from 0 to

4π (two full rotations).

 5. Calculate Step Positions (x, y, z)

x = radius * np.cos(theta)

y = radius * np.sin(theta)

z = height_per_step * np.arange(num_steps)

Computes x, y coordinates on a circle of given radius (using cosine and sine).

 z increases linearly with step number, creating height.

 6. Plot Steps as Points

ax.scatter(x, y, z, c='brown', s=100, label='Steps')

Plots each step as a brown dot sized 100.

Labels them for the legend.

 7. Plot Central Pole

ax.plot([0,0], [0,0], [0, z[-1]+1], color='grey', linestyle='--', linewidth=2, label='Central Pole')

Draws a vertical dashed line at the center representing the staircase pole.

Goes from height 0 to just above the last step.

 8. Set Axis Labels

ax.set_xlabel('X')

ax.set_ylabel('Y')

ax.set_zlabel('Z (height)')

Labels each axis to indicate directions.

 9. Add Legend

ax.legend()

Adds a legend explaining plotted elements (steps and pole).

 10. Display the Plot

plt.show()

Shows the final 3D spiral staircase plot.