Millions of kids dream of creating their own games, making video game design one of the most popular tech careers. Many video games generate millions of dollars annually. In fact, gaming has surpassed the movie, music, and television industries in terms of global popularity. Fans eagerly await the release of the latest blockbuster games, spending hours playing on their preferred consoles, PCs, or machines. Math is the foundation of successful game development and design. Math is vital in games. From calculating an Angry Bird’s flight path to ensuring a character can jump and land safely.
The virtual world in a computer game is made up of polygons with decorations on them. The creation of an object with thousands of polygons can take days. This section focuses on geometry and the process of rendering it (drawing the polygons). Since the 1970s, processors have improved, allowing more polygons to be rendered.
Writing for computers and video games is fun. Aside from the free trips to Japan and the money, the work itself can be very satisfying. At its best, it involves solving problems in novel ways that save time and space. But a solid foundation in mathematics and science relevant to gaming is useful if you want to build on previous knowledge. Game coders have learned many useful techniques over the years. You might even discover new uses for them if you dig deeper!
They can be stored in binary and have efficient addition and subtraction methods, but less efficient multiplication and division methods.
Integers have upper and lower bounds in computers. The limit is -32768 to 32767 for 16 bit signed integers stored in twos complement format (which is almost universal nowadays). This limit is important because overflow can occur (see the section on Pitfalls for details).
Discreteness means that values in computer games are often integers. Time is divided into frames of 1/60th second (for NTSC video consoles). It is not continuous but displayed on pixel boundaries. This is a good approximation to a smooth universe.
What does trigonometric mean? So, sin q is the opposite side’s length divided by the hypotenuse’s length. The hypotenuse divides the length of the adjacent side. The opposite side’s length divided by the adjacent side’s length. Because these functions are time-consuming to calculate, they are usually stored in a look-up table.
It’s not always easy to find a guide that explains how these topics relate directly to games. Starting Math for Game Developers is the answer! It includes several activities that use basic math equations to create graphs and eventually animations. By the end, you will have built a complete application that allows you to endlessly explore 2D game development scenarios. Take a unique journey that explores what is possible when you combine game development with basic math concepts.