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Geometry is the branch of mathematics that stands behind game engines, computer-aided design applications, 3D printing frameworks, image processing libraries, and geographic information systems. As soon as there are curves, surfaces, or spaces, there is geometry involved. Normally, you don’t have to be a geometer to use an application with curves and surfaces. Don’t worry, this book will not convert you into one. However, just as knowing the mechanics behind your car allows you to make the most of driving it, knowing the mathematics behind your tools will allow you to use them in the most efficient way possible. For example, how much geometry do you have to know to 3D-print a single model? Well, none actually, since you can figure out how to do that with trial and error. But what if you want to automate a 3D-printing process for a continuous flow of models? This is a programmer’s task and it brings in the programmer’s considerations. You want your process to be both fast and robust. Every failed printing attempt means that you lose time and money, and now trial and error simply wouldn’t cut it.