Member 1
Name: Liuxiang TAN
Student ID: 72401030
Email:
[email protected]
Project Overview
This project presents an interactive simulation of the Buffon-Laplace Needle Problem, a classical problem in geometric probability. Users can explore how random needle drops on a rectangular grid can be used to estimate π through computational simulation. The project includes an interactive demo, a theoretical explanation, and a team reflection.
Project Topic
The Buffon-Laplace Needle Problem is a generalisation of Buffon’s Needle Problem, where each needle is randomly dropped onto a plane ruled with a rectangular grid. The objective is to compute the probability that the needle crosses one or more grid lines, and to use this probability to estimate the value of π.
Group Member Information
Member 2
Name: Siyuan LI
Student ID: 72400346
Email:
[email protected]
Member 3
Name: Naixun WANG
Student ID: 72400371
Email:
[email protected]
Page Guide
- Demo: interactive simulation for readers.
- Theory: explanation of the probability model and what the demo demonstrates.
- Team-based Learning: team collaboration, individual contributions, and reflections.
Library Used
This project uses the KaTeX library to render mathematical expressions in
theory.html. KaTeX is included locally in the lib/
folder rather than loaded from an online CDN, so all formulas can still be
displayed correctly when the webpages are opened offline. This library is
used solely for mathematical typesetting and supports the presentation of
the theoretical content related to our computational probability modeling topic.