Thesis Info

Thesis Title
Superposed states: a mathematical model proposal for 3D games
Marcos Cuzziol
2nd Author
3rd Author
Number of Pages
University of Sao Paulo
Thesis Supervisor
Gilbertto Prado
Supervisor e-mail
Other Supervisor(s)
Language(s) of Thesis
Department / Discipline
Visual Arts
Languages Familiar to Author
English, French, Portuguese
URL where full thesis can be found
games, artificial behavior, virtual reality, quantum mechanics, mathematical models
Abstract: 200-500 words
The behavior of 3D game’s characters is usually repetitive and predictable. In this work, it is estimated that this predictability is not due to an intrinsic limitation of the programming of these behaviors, but rather to the mathematical model applied for building the program. Through case studies, the most common model used in games is identified, and it’s shown that this model does not necessarily have to be followed. Examples of behaviors of game characters and other virtual creatures are presented as a demonstration that it is possible to create unpredictable and, at the same time, not random, but rather oriented to pre-established goals, behaviors merely from programmed instruction sequences. To evaluate an alternative mathematical model, a brief description of quantum mechanics is presented, as well as the implications that the development of this theory had on our understanding of the real. The work then presents proposals for the creation of a new mathematical model for 3D games, inspired by the Everett interpretation of quantum mechanics. Following, it’s shown how this new model could generate 3D games that adapts automatically to user-specific skills, and how this new model could facilitate the creation of truly interactive storylines.