Monte Carlo Methods
This website explores the method of Monte Carlo, a powerful statistical technique used to model complex systems and make predictions based on random sampling. Through interactive simulations, we will demonstrate how this method can be applied to various scenarios, including estimating the value of pi and simulating the behavior of shadows.
What are Monte Carlo Methods?
Monte Carlo methods are a class of computational algorithms that rely on repeated random sampling to obtain numerical results. The core idea is using randomness to solve problems that might be deterministic in principle.
These methods are especially useful for optimization, numerical integration, and generating draws from probability distributions.
Interactive Simulations
π
Pi Calculation
Discover how random points can be used to approximate the value of π through a simple geometric approach.
Shadow Simulation
Explore how Monte Carlo methods can create realistic shadow effects with accurate penumbra regions.