Infinite Game Universe: Mathematical Techniques (無限遊戲宇宙：數學技術)

Summary

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.

Table of Contents

The Near Infinite Universe Concept — Generation vs..Storage,Macro and Micro Generation,Front End Generation,Game Mechanics,Random Number Generation — Nature of Random Numbers, Simple Random Number Generation Techniques,Choice of Seed,Algorithm Combination Techniques,Performance Issues; Predictability — Exploration of Seeding,,Serialization Techniques,Using Sequences as Seeds, Plot Sequencing, Reliability of Chance,Case Study;Probability & Extrapolation — Using Letter Adjacancies to Generate Words, Game Rules,Compression Techniques; Fractal Generation — Mapping,,It ’s Role in Nature,Complex Structures,Fractals vs Probability Extrapolation,Chaos;The Gamespace Example — Objects and their Relationships Within the Universe,Synchronization Objects' Properties ((Plot Sequencing), Altering Object Properties, Incorporating the Players' Actions, The Entire Package Visualization