Create Stones

$Lines in 2D$

In this video I explain how lines can be drawn in 2D and their general mathematical equation.

$Parabolas$

In this video I explain the general equation used to define a parabola in 2D.

$Perpendicular in 2D$

This VMK shows you how to find a perpendicular line to a reference line. The reference line can be defined as two points or an equation.

$Normals in 3D$

You will be shown how to calculate the normal to a surface defined in 3D.

$Change Range$

The ability to map one set of numbers to another set of numbers is very useful in many applications. This VMK shows you how to set up a linear relationship between the input and the output values.

$Unit Circle$

In this VMK I show you how to calculate the (X,Y) coordinates for points located on a circle. I also briefly discuss the difference between degrees and radians.

$Dot Product$

In this VMK we explore the dot product of a vector and how to use it to find the length of a vector, the angle between two vectors and the projection of one vector onto another.

$Spherical Coordinate System$

The workings of the spherical coordinate system are explained and the three parameters: r, theta, phi are related to the standard cartesian x,y,z coordinates.

$Rolling Ball using Quaternions$

Using the arrow keys, you can control a rolling ball on the screen. The quaternion equations used to make this happen is shown in this video. Visit the forum to download the finished application from this VMK.

$Smooth Interpolation$

In this video I show how to derive the equation used to create a smooth interpolation curve that connects two points. To see how to use this equation in C++ code, see Ghost Toast VMK 30.

Math