Heart shape pattern plot using python

 import numpy as np

import matplotlib.pyplot as plt

t=np.linspace(0,2*np.pi,500)

x=16*np.sin(t)**3

y=13*np.cos(t)-5*np.cos(2*t)-2*np.cos(3*t)-np.cos(4*t)

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

plt.plot(x,y,color='red',linewidth=8)

plt.title("heartshape pattern plot",fontsize=14)

plt.axis("equal")

plt.axis("off")

plt.show()

#source code --> clcoding.com 

Code Explanation:

Step 1: Importing Required Libraries

import numpy as np

import matplotlib.pyplot as plt

NumPy (np): Used to create numerical arrays and perform mathematical operations efficiently.

Matplotlib (plt): A powerful plotting library that allows visualization of data in various formats.

Step 2: Creating the Parameter t

t = np.linspace(0, 2 * np.pi, 500)

The variable t is an array of 500 evenly spaced values between 0 and 2π.

This range is crucial because it allows the parametric equations to fully define the heart shape. More points would create a smoother curve, while fewer points would make it look more jagged.

Step 3: Defining the Heart Shape Equations

x = 16 * np.sin(t)**3

y = 13 * np.cos(t) - 5 * np.cos(2*t) - 2 * np.cos(3*t) - np.cos(4*t)

These equations define the x and y coordinates of the heart shape.

Explanation of the x Equation:

x = 16 * np.sin(t)**3

np.sin(t) generates a sine wave between -1 and 1.

Cubing it (**3) amplifies the curvature and ensures the heart shape is symmetric.

The factor 16 scales the shape horizontally.

Explanation of the y Equation:

y = 13 * np.cos(t) - 5 * np.cos(2*t) - 2 * np.cos(3*t) - np.cos(4*t)

The primary component is 13 * np.cos(t), which determines the general height and shape.

The additional cosine terms (cos(2t), cos(3t), cos(4t)) refine the shape, adding the necessary dips and curves to resemble a heart.

The coefficients (13, -5, -2, -1) adjust the proportions of the lobes and the bottom curve.

Step 4: Plotting the Heart

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

plt.plot(x, y, color='red', linewidth=8)  

plt.figure(figsize=(6,6)): Creates a square figure (6x6 inches) to ensure the heart doesn’t look distorted.

plt.plot(x, y, color='red', linewidth=8):

Plots the heart shape using the x and y coordinates.

The color is set to red to resemble a traditional heart.

The linewidth is set to 8, making the heart bold and thick.

Step 5: Customizing the Display

plt.title("Heart shape pattern plot", fontsize=16)

plt.axis("equal")

plt.axis("off")

plt.title("Heart shape pattern plot", fontsize=16): Adds a title to the plot with a larger font size for visibility.

plt.axis("equal"): Ensures the aspect ratio remains 1:1, preventing distortion.

plt.axis("off"): Hides the axes, making the heart the only focus.

Step 6: Displaying the Heart

plt.show()

This renders the heart shape and displays it on the screen.