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
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
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
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
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
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, … 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, … 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’ … more
