Lattice pattern plot using python

 import matplotlib.pyplot as plt

import numpy as np

x,y=np.meshgrid(np.arange(0,10,1),np.arange(0,10,1))

x=x.flatten()

y=y.flatten()

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

plt.scatter(x,y,s=100,c='blue',edgecolor='black')

plt.axis('equal')

plt.grid(True,linestyle='--',alpha=0.5)

plt.title('Lattice pattern plot')

plt.show()

 #source code --> clcoding.com 

Code Explanation:

1. Import Necessary Libraries

import matplotlib.pyplot as plt

import numpy as np

Matplotlib is used for visualization.

NumPy is used for numerical computations.

2. Create a Grid of Points

x, y = np.meshgrid(np.arange(0, 10, 1), np.arange(0, 10, 1))

np.arange(0, 10, 1) generates values from 0 to 9 (step = 1).

np.meshgrid() creates a 2D grid from these values:

x contains column values (repeats horizontally).

y contains row values (repeats vertically).

Example Output of np.meshgrid()

If np.arange(0, 3, 1) is used instead of 0 to 10, it would generate:

x =

[[0 1 2]

 [0 1 2]

 [0 1 2]]

y =

[[0 0 0]

 [1 1 1]

 [2 2 2]]

This represents a grid of points at (0,0), (1,0), (2,0), (0,1), (1,1), (2,1), etc.

3. Flatten the Grid into 1D Arrays

x = x.flatten()

y = y.flatten()

.flatten() converts the 2D grid into 1D arrays of x and y coordinates.

Now, we have all grid points in a simple list format for plotting.

4. Create the Scatter Plot

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

figsize=(6,6) ensures a square figure to maintain equal spacing.

plt.scatter(x, y, s=100, c='blue', edgecolor='black')

plt.scatter(x, y, s=100, c='blue', edgecolor='black')

Plots blue dots (c='blue').

Each dot has a size of 100 (s=100).

A black border (edgecolor='black') surrounds each dot.

5. Adjust the Plot Formatting

plt.axis('equal')

Ensures both x and y axes have the same scale, preventing distortion.

plt.grid(True, linestyle='--', alpha=0.5)

Enables grid lines (plt.grid(True)) for better visualization.

Dashed grid lines (linestyle='--').

alpha=0.5 makes the grid lines slightly transparent.

plt.title('Lattice pattern plot')

Sets the title of the plot.

6. Display the Plot

plt.show()

Displays the final lattice pattern.