Mapping hyperbolic space for the virtual reality game "Holonomy"

Title

Mapping hyperbolic space for the virtual reality game "Holonomy"

 Author

de Vries, Ate-Jan (TU Delft Electrical Engineering, Mathematics and Computer Science)

Contributor

Skrodzki, M. (mentor) ORCID 0000-0002-8126-0511
Bidarra, Rafael (mentor) ORCID 0000-0003-4281-6019
Smaragdakis, G. (graduation committee) ORCID 0000-0002-4127-3617

 Degree granting institution

Delft University of Technology

 Programme

Computer Science and Engineering

 Project

CSE3000 Research Project

 Date

2023-06-30

 Abstract

Non-Euclidean spaces are spaces that do not satisfy all of Euclid’s postulates. An example of such a space is hyperbolic space. In this paper, a method is discussed to draw a tessellation of hyperbolic space in a manner that fits with the virtual reality game "Holonomy", a game which takes place in hyperbolic space. The main result shows that the new approach is better in terms of simplicity than the old approach and is able to draw the game world more faithfully than the old approach. The features of the new approach could still be significantly expanded upon.

 To reference this document use:

http://resolver.tudelft.nl/uuid:b86007e3-cd1a-4654-8556-09430bf75a99

 Part of collection

Student theses

 Document type

bachelor thesis

 Rights

© 2023 Ate-Jan de Vries
Files
PDF CSE3000_Ate_Jan_de_Vries.pdf 1.52 MB
Close viewer