3D Origami Pattern using Python

 

import matplotlib.pyplot as plt

import numpy as np

x=np.linspace(0,10,100)

y=np.linspace(0,10,100)

X,Y=np.meshgrid(x,y)

Z=np.sin(X)*np.cos(Y)

fig=plt.figure(figsize=(8,6))

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

ax.plot_surface(X,Y,Z,cmap='plasma',edgecolor='k',linewidth=0.3)

ax.set_title("3D Folded Origami Pattern ")

plt.show()

#source code --> clcoding.com

Code Explanation:

1. Importing Libraries

import numpy as np

import matplotlib.pyplot as plt

numpy (as np): Used for numerical operations and array handling.

 matplotlib.pyplot (as plt): Used for plotting and displaying graphs.

 2. Creating the Grid

x = np.linspace(0, 10, 100)

y = np.linspace(0, 10, 100)

X, Y = np.meshgrid(x, y)

np.linspace(0, 10, 100): Creates 100 values linearly spaced from 0 to 10 for both x and y axes.

 np.meshgrid(x, y): Converts the 1D x and y arrays into 2D coordinate grids (X, Y).

 This is needed to plot a surface where each (x, y) pair will have a height Z.

 3. Defining the Height (Z-values)

Z = np.sin(X) * np.cos(Y)

This creates a wave-like height map:

 sin(X) gives you waves along the x-direction.

 cos(Y) gives waves in the y-direction.

 Multiplying them results in a folded checkerboard-like wave pattern — similar to a Miura fold in origami, where some parts are folded up and others down.

 It visually mimics the alternating mountain-valley folds.

 4. Creating the Plot

fig = plt.figure(figsize=(10, 6))

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

Creates a figure (fig) with a specific size (10 by 6 inches).

 Adds a 3D subplot (ax) to the figure using projection='3d'.

 5. Plotting the 3D Surface

ax.plot_surface(X, Y, Z, cmap='plasma', edgecolor='k', linewidth=0.3)

plot_surface: Draws a 3D surface plot.

 X, Y, Z: Coordinates of the surface.

 cmap='plasma': Applies a colorful colormap for aesthetics (from yellow to purple).

 edgecolor='k': Edges of the grid are black, which enhances the “folded paper” look.

 linewidth=0.3: Makes the grid edges thin for sharp creases, like origami folds.

 6. Final Touches

ax.set_title("3D Folded Origami Pattern (Miura-inspired)")

plt.show()

Adds a title to the plot.

 plt.show() renders and displays the 3D plot window.