Open Access. Powered by Scholars. Published by Universities.®

Theory and Algorithms Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 3 of 3

Full-Text Articles in Theory and Algorithms

Effective Ann Topologies For Use As Genotypes For Evaluating Design And Fabrication, John R. Peterson Jun 2017

Effective Ann Topologies For Use As Genotypes For Evaluating Design And Fabrication, John R. Peterson

Honors Theses

There is promise in the field of Evolutionary Design for systems that evolve not only what to manufacture but also how to manufacture it. EvoFab is a system that uses Genetic Algorithms to evolve Artificial Neural Networks (ANNs) which control a modified 3d-printer with the goal of automating some level of invention. ANNs are an obvious choice for use with a system like this as they are canonically evolvable encodings, and have been successfully used as evolved control systems in Evolutionary Robotics. However, there is little known about how the structural characteristics of an ANN affect the shapes that can …


Procedural Generation: An Algorithmic Analysis Of Video Game Design And Level Creation, Logan Bond Jan 2017

Procedural Generation: An Algorithmic Analysis Of Video Game Design And Level Creation, Logan Bond

Honors Theses

Procedural generation is a method for generating mass quantities of data algorithmically rather than manually. One perfect example of this is the recently famous No Man’s Sky, a video game where the entire marketing scheme was structured around its procedurally generated universe. The game’s trailer and advertisements promised its players 18,446,744,073,709,551,616 unique planets[1], all of which were procedurally generated. In other words, the developers did not create exclusive profiles for every single planet, but instead programmed the game in such a way that the planets were built from the code. This method of content creation is the …


Normal Surfaces And 3-Manifold Algorithms, Josh D. Hews Jan 2017

Normal Surfaces And 3-Manifold Algorithms, Josh D. Hews

Honors Theses

This survey will develop the theory of normal surfaces as they apply to the S3 recognition algorithm. Sections 2 and 3 provide necessary background on manifold theory. Section 4 presents the theory of normal surfaces in triangulations of 3-manifolds. Section 6 discusses issues related to implementing algorithms based on normal surfaces, as well as an overview of the Regina, a program that implements many 3-manifold algorithms. Finally section 7 presents the proof of the 3-sphere recognition algorithm and discusses how Regina implements the algorithm.