Spiral Pattern plot using python

 import matplotlib.pyplot as plt

import numpy as np

theta=np.linspace(0,4*np.pi,500)

r=np.linspace(0,10,500)

x=r*np.cos(theta)

y=r*np.sin(theta)

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

plt.plot(x,y,color='blue',linewidth=2)

plt.title("Spiral pattern plot")

plt.axis("equal")

plt.show()

#source code --> clcoding.com

Code Explanation:

1. Import Necessary Libraries

import numpy as np

import matplotlib.pyplot as plt

numpy is used for numerical operations, like creating arrays.

matplotlib.pyplot is used for plotting graphs.

2. Define the Spiral Parameters

theta = np.linspace(0, 4 * np.pi, 500)  # Angle values

r = np.linspace(0, 10, 500)  # Radius values

theta represents the angle in radians, ranging from 0 to 4π (two full turns).

r represents the radius, increasing from 0 to 10.

np.linspace(start, stop, num_points) creates 500 evenly spaced values.

3. Convert to Cartesian Coordinates

x = r * np.cos(theta)

y = r * np.sin(theta)

The spiral is defined in polar coordinates (r, θ), but Matplotlib uses Cartesian coordinates (x, y).

4. Plot the Spiral

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

plt.plot(x, y, color='blue', linewidth=2)

plt.title("Spiral Pattern")

plt.axis("equal")  # Keep aspect ratio equal

plt.show()

plt.figure(figsize=(6,6)): Creates a square figure (6x6 inches).

plt.plot(x, y, color='blue', linewidth=2): Plots the spiral in blue with a thicker line.

plt.title("Spiral Pattern"): Adds a title to the plot.

plt.axis("equal"): Ensures equal scaling on both axes to maintain the circular shape.

plt.show(): Displays the plot.