Infinite game universe. Mathematical techniques - Guy W Lecky-Thompson

A working level of mathematics is necessary for advanced game development, and this reference provides the concepts and insights needed to master this challenging material. Covering the topics of random number generation, number predictability, probability, and fractal generation, various possibilities are explored and outlined with the goal of creating an "infinite game universe".;This upper-level reference guide provides programmers with the tips, techniques, and reference materials they can use to create an exciting gaming environment. All of the algorithms and source code are included on the CD in C++ for optimization and manipulation. A chapter on predictability explains why the "expectability" of any algorithm is important for the real time generation of the game universe. Fractals are explored as a means of describing complex real world objects (such as landscapes) and situations using mathematical formulae.;Included is an introduction to the concept of using probabilities to populate properties of a large number of objects from a limited set of data. A detailed gamespace example shows developers how even the most basic of game concepts can be expanded using a simple set of rules and ideas to create an addictive and fun game.