Infinite Game Universe: Mathematical Techniques

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

摘要

遊戲開發需要一定程度的數學知識，這本獨特的參考書提供了掌握這一挑戰性材料所需的概念和見解。本書涵蓋了隨機數生成、數字可預測性、概率和分形生成等主題，並探討了創建“無限遊戲宇宙”的各種可能性。這本高級參考指南將為程序員提供尖端的技巧、技術和參考資料，以創建令人興奮的遊戲環境。所有算法和源代碼都包含在CD中，以便進行C++優化和操作。

目錄

近乎無限的宇宙概念-生成與存儲，宏觀和微觀生成，前端生成，遊戲機制，隨機數生成-隨機數的性質，簡單的隨機數生成技術，種子的選擇，算法組合技術，性能問題；可預測性-種子的探索，序列化技術，使用序列作為種子，情節排序，機會的可靠性，案例研究；概率和推斷-使用字母相鄰性生成單詞，遊戲規則，壓縮技術；分形生成-映射，它在自然界中的作用，複雜結構，分形與概率推斷，混沌；遊戲空間示例-宇宙中的物體及其關係，同步物體的屬性（情節排序），改變物體的屬性，融入玩家的行動，整個套件的可視化