The application let's you visualize π approximation. Written using Windows Presentation Foundation.

If you just want to run the application you can download the dist/ folder. Then double click on MonteCarloVisualization.application

Application runs only under Windows. If you don't have .NET run time installed run dist/setup.exe

The implementation takes a random point inside the square and checks if that point lies within the circle. The ratio of points inside the circle to all generated points is p. Multiplying p by 4 gives the approximate value of π.

Calculates π value for given number of points.

Calculates π value in multiple steps, each time for different number of points. You can see as the animation progresses the value of π is approximated with better accuracy.

First of all UI is single thread so each paint operation freezes the application (keep in mind freeze the application is something different than disabling UI controls). The solution works this way:

• Shapes (rectangle and circle) are drawn on canvas
• All points are drawn to WritableBitmap which is later drawn on Image This way the application performance is much better