Science Simulations
Galton Board The Galton board is a tool for visualizing the principles by which the binomial distribution is created. Early Galton boards were made with wooden poles and beads that rolled down. Francis Galton, who created the Galton board, is … more
A hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. If the radius of a large circle is \(R\), and the radius of a small … more
A hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. If the radius of a large circle is R, and the radius of a small … more
Polygon Wheel Should the wheels always be round? All polygon wheels can roll smoothly. To do this, you need a suitable floor. How is the floor for the polygonal wheel to roll smoothly? The floor shown in the above simulation … more
Definite integral In the 2D coordinate plane, a definite integral is a way to find the area of a graph. In a rectangle, the only simple way to get the area is the multiplication of width and height. If the … more
This simulation supports both pinch zoom and mouse scrolling. We recommend using the Chrome browser. (to get more processing speed) Imaginary number An imaginary number consists of a number that becomes negative if you square itself. The letter ‘ i’ … more
Differentiation The differentiation is to find the amount of change at a point on a graph f(x). This is like the process of finding the slope of the tangent line when you can draw a tangent at a point on … more
A Voronoi diagram is a partitioning of a plane into regions based on the distance to points in a specific subset of the plane. That point set is specified beforehand. And regions(Voronoi cells) are consisting of all points closer to … more
A Voronoi diagram is a partitioning of a plane into regions based on the distance to points in a specific subset of the plane. That point set is specified beforehand. And regions(Voronoi cells) are consisting of all points closer to … more
The Lissajous figures The Lissajous figures is a planar shape drawn by the following equation by the parameter t: x = A cos (Bt + C)y = D sin (Et + F) If B:E is an integer ratio, you can … more
Triangle Trick If you look closely, you can see that the triangle’s slope is not a straight line. One of the merged triangles is slightly convex up, and the other is somewhat concave down. However, the convexity and concaveness are … more
Fourier series A Fourier series is a way to represent a function as the sum of simple sine waves. A simple trigonometric function consists of a smooth surface. If you continue to add these trigonometric functions, you can get a … more