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Monte Carlo Simulation Visualizer - Approximating Pi

Website Link

Deployed using Heroku

Repository notes

This repo is for deployment. Check out this repo for detailed commits during development, detailing each step by step addition of components per commit

How to run in your local computer

  1. Download this repo
  2. (Optional) Create a virtual environment and activate it. For Mac users follow here https://sourabhbajaj.com/mac-setup/Python/virtualenv.html
  3. In your virtual/local environment cd into the downloaded folder, and execute pip install -r requirements.txt
  4. Execute python manage.py runserver
  5. Go to a browser and enter the url http://127.0.0.1:8000/
  6. Monte Carlo Visualizer homepage should render

Tech Stack

Frontend

  • React
  • Ploly.js
  • Axios

Backend

  • Django
  • Django REST framework

Approximating Pi

Description

Monte Carlo simulation is a method used to approximate numerical values. One example is approximating π.

Sample random number from [-1,1] from a uniform distribution and check if it lies inside/outside the unit circle. Approximate π using the area of the circle and the square from [-1,1]

Components

Input

  • Select the number of iteration (points) dynamically
  • Select the frame rate dynamically (iterations per frame)

Output

  • Visualize the randomly generated points inside the figure per frame
  • Visualize the approximation of pi per frame