Category Archives: Math

Fundamentals of Fractals 5: The Mandelbrot Set

I give you the same question Neo got; do you take the red pill or do you take the blue pill? After studying the Mandelbrot set, the complexity, rich and beauty of a simple definition, the endless iteration of a … Continue reading

Posted in DirectX11, Fractal, Graphics, Math, Tutorial | 10 Comments

Fundamentals of Fractals 4: The Sierpinski carpet

In the last tutorial, we plotted a Sierpinski gasket using dots. I figured that I wanted to introduce the Sierpinski Carpet as well, before moving into more heavy fractals. The Sierpinski Carpet is very simple as well, but we are … Continue reading

Posted in DirectX11, Fractal, Math, Tutorial | Leave a comment

Fundamentals of Fractals 3: The Sierpinski gasket

The Sierpinski gasket is a fractal and a very basic fractal of self-similar sets, a mathematically generated pattern with similar patterns. The Sierpisnki gasket is typically generated using triangles, but you can render any shape you want in the space, … Continue reading

Posted in DirectX11, Fractal, Graphics, Math, Tutorial | Leave a comment

Fundamentals of Fractals 2: What is a fractal?

There are many answers to this question, but let’s take a look at the common definitions:”A set of points whose fractal dimension exceeds its topological dimension” -Paul Bourke”A fractal is a rough or fragmented geometric shape that can be split … Continue reading

Posted in DirectX, DirectX11, Graphics, Math, Tutorial | 1 Comment

Fundamentals of Fractals 1: Introduction to Complex Numbers

This series aims to teach you the basics of programming fractals. Let’s start with introducing Complex Numbers, which is a topic within algebra and the fundamental for everything that is related to fractals. In the next tutorial, we will move … Continue reading

Posted in DirectX11, Math, Tutorial | Tagged | 1 Comment