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 … 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 … 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 … 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 … 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 … 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. … 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 … 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 … 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 … 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 … 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 … 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, … more