Visualization and Calculation of Mathematical Concepts 𝝿

This repository contains a Jupyter Notebook that visualizes and calculates different mathematical concepts, including the estimation of π (Pi) using the Monte Carlo method, creating a dynamic heart shape animation using parametric equations, and plotting the Fibonacci sequence.

Snapshots

Prerequisites

Make sure you have the following packages installed:

pip install numpy
pip install matplotlib
pip install plotly

Contents

1. Estimation of Pi Using Monte Carlo Method: This section estimates the value of π using the Monte Carlo method by randomly generating points within a square and counting how many fall inside a quarter circle.
2. Dynamic Heart Shape Animation: This section creates an animated heart shape using parametric equations and the Plotly library.
3. Plotting the Fibonacci Sequence: This section calculates and plots the first 50 numbers in the Fibonacci sequence using Matplotlib.

Instructions Clone the repository:

Copy code
git clone https://github.com/aditya26062003/Visualization.git
Navigate to the repository directory:

cd Visualization
Open the Jupyter Notebook:

jupyter notebook Shapes.ipynb
Run the cells in the notebook to see the visualizations and calculations.

Examples

Estimation of Pi Using Monte Carlo Method This part of the notebook uses random point generation to estimate the value of π. The result is visualized with Plotly, showing points inside and outside the quarter circle.

Dynamic Heart Shape Animation This part of the notebook creates a dynamic heart shape animation using parametric equations. The animation is created using Plotly and shows a heart shape "popping" in and out.

Plotting the Fibonacci Sequence This part of the notebook calculates the first 50 numbers in the Fibonacci sequence and plots them using Matplotlib.

License

This project is licensed under the MIT License .

Author

Aditya Singh