Infinite Game Universe: Mathematical Techniques

Overview

A working level of mathematics is necessary for advanced game development, and this unique 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 will provide programmers with the cutting-edge tips, techniques, and reference materials they...
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Overview

A working level of mathematics is necessary for advanced game development, and this unique 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 will provide programmers with the cutting-edge 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.
  • 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
  • Includes 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
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Editorial Reviews

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The Barnes & Noble Review
How can you build games that will keep your players' interest forever, when storage space, memory, and processing resources will always be finite? With clever math, of course. In Infinite Game Universe, Guy Lecky-Thompson introduces concepts, algorithms, and code snippets that can bring your most complex imaginings to life -- dreams that might otherwise transcend the capabilities of tomorrow's hottest PlayStation IIIs and Xboxen.

Lecky-Thompson first introduces algorithms for generating random and pseudorandom numbers and sequences -- a core technique for creating ever-changing game universes. Next, he shows how these algorithms can best be used by the game designer, imbuing games with greater breadth, depth, detail, and complexity.

Infinite Game Universe then focuses on probability and extrapolation, presenting key sampling and generation algorithms, and showing how to populate the properties of an enormous number of objects from a relatively tiny data set. You'll learn how to use fractals to create complex structures and simulate nature. Finally, Lecky-Thompson brings all the book's techniques together in a pleasantly addictive sample game -- showing how to establish the relationship of objects to their universes; create plot sequences; and act on player feedback. So, to infinity. And, umm, beyond.(Bill Camarda)

--Bill Camarda is a consultant, writer, and web/multimedia content developer with nearly 20 years' experience in helping technology companies deploy and market advanced products and services. He served for nearly ten years as vice president of a New Jersey-based marketing company, where he supervised a wide range of graphics and web design projects. His 15 books include Special Edition Using Word 2000.

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Product Details

Meet the Author

Lecky-Thompson is an experienced writer in the field of game programming and software development. His articles have appeared on Gamasutra and in the book Game Programming Gems.

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