Skip to main content

Tag: math

The Joy of Writing Shaders

You can check out the source for the above shader here. Shaders provide programmers with a beautiful combination of art and math. Most other throwaway projects are devoid of any artistic value. In less than a dozen lines of code you can draw fractals. A few more and you can start creating intricate animations. The most interesting part is the unique perspective they force you into. Say you want to draw a circle in an imperative programming language.

The N Sphere

It’s very common for high-school students to learn the geometry of a circle.
Trigonometric functions (sin(), cos(), etc.) are required knowledge for
high-school graduates, and they have a close relationship to circles. This means
that most students have seen the equation for a unit circle: