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
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
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
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
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
Triangle Regular Triangle The lengths of the three sides and the angles are the same. The size of each of the three angles is 60 °. It is the only triangle in which the inner center, circumcenter, and center of … more
Pythagorean Theorem When the three sides of a right triangle are a, b, and c, and the longest side is c, the following equation is always true. The areas of a square with sides a, b, and c is a … more
Geometric sequence is The geometric sequence is a sequence in which each term has a constant(common) ratio to its preceding term. For example, the geometric sequence with the first term ‘a’ and the common ratio ‘r’ is as follows. \[ … more
