Circle Pattern Plot using Python

 

import numpy as np

import matplotlib.pyplot as plt

radius=1

num_points=50

theta=np.linspace(0,2*np.pi,num_points)

x=radius*np.cos(theta)

y=radius*np.sin(theta)

fig,ax=plt.subplots()

ax.scatter(x,y,color='b',s=50)

ax.set_xlim(-1.2,1.2)

ax.set_ylim(-1.2,1.2)

ax.set_aspect('equal')

ax.axis('off')

plt.title("Circle pattern plot")

plt.show()

#source code --> clcoding.com 

Code Explanation:

1. Importing Required Libraries

import numpy as np

import matplotlib.pyplot as plt

numpy is used to generate numerical data, such as evenly spaced angles for plotting points.

matplotlib.pyplot is used to create the visualization.

2. Defining Circle Parameters

radius = 1

num_points = 50  # Number of dots

theta = np.linspace(0, 2 * np.pi, num_points)  # Angles for the circle

radius = 1: The radius of the circle.

num_points = 50: The number of dots to be placed around the circle.

np.linspace(0, 2 * np.pi, num_points):

This creates num_points evenly spaced values from 0 to 2π.

2π radians correspond to a full circle (360°).

3. Computing Circle Coordinates

x = radius * np.cos(theta)

y = radius * np.sin(theta)

np.cos(theta): Computes the x-coordinates of the points along the circle.

np.sin(theta): Computes the y-coordinates of the points along the circle.

Multiplying by radius ensures the points are scaled correctly.

4. Creating the Plot

fig, ax = plt.subplots()

ax.scatter(x, y, color='b', s=50)  # Scatter plot for dots

fig, ax = plt.subplots(): Creates a figure (fig) and an axis (ax) to plot on.

ax.scatter(x, y, color='b', s=50):

Uses scatter() to plot individual dots at (x, y).

color='b': Dots are blue (b for blue).

s=50: Size of each dot.

5. Setting Limits and Aspect Ratio

ax.set_xlim(-1.2, 1.2)

ax.set_ylim(-1.2, 1.2)

ax.set_aspect('equal')

ax.axis('off')  # Hide axes

ax.set_xlim(-1.2, 1.2): Sets x-axis limits slightly beyond the circle's radius for better visibility.

ax.set_ylim(-1.2, 1.2): Sets y-axis limits similarly.

ax.set_aspect('equal'): Ensures the aspect ratio is equal so the circle does not appear distorted.

ax.axis('off'): Hides the axes for a cleaner look.

6. Displaying the Plot

plt.show()

Displays the generated dotted circle.