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The Essentials of Cartesian Coordinate System: Learning 3D Math

 The Essentials of Cartesian Coordinate System: Learning 3D Math  Basic Cartesian Coordinates     Using Cartesian coordinates gives us a means of identifying points in a numerical value system. An (x, y) pair defines this in two dimensions; in three, it expands to (x, y, z).      Knowing how these coordinates relate to one another will help us to view and shape geometric forms, grasp where they are in space and in what direction.     Cartesian coordinates let us travel in three dimensions. For those working in sectors like architecture, engineering and computer graphics, navigation via length, width, and height is extremely crucial. Knowing the link among these coordinates helps us to visualize and manipulate geometric forms, as well as their position and orientation in space. Surveying the Three-Dimensional Environment. Using three-dimensional space, Cartesian coordinates—that is, length, width, and height of a plane—can be n...
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Game Vectors: Geometry of Game Art and Math in Game Development

Game Vectors: Geometry of Game Art and Math in Game Development Both vector graphics and vector math are fundamental towards both the visual appearance and technical details of contemporary video games. When you learn about game vectors, you can start to see things with a completely different approach. Artists interested in the artistic side (vector art) will find an idea that is worth exploring without prior reference; mathematicians concerned about the theoretical base (vector math) might also want to marvel at how this approach challenges their deeply embedded understanding of numerical What are game vectors? Vector Art: In game development, this refers to graphics created using mathematical equations to define shapes, lines and colors. Unlike raster images that are made up of pixels, vector graphics do not depend on resolution so can be scaled endlessly without losing quality. This makes them ideal for 2D games, user interfaces and stylized visuals. Vector Math: Vectors in mathemat...