Gaming in Elliptic Geometry

László Szirmay-Kalos and Milán Magdics
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics,
Budapest, Magyar Tudósok krt. 2, HUNGARY
szirmay@iit.bme.hu

Abstract:

An interesting way to explore curved spaces is to play games governed by the rules of non-Euclidean geometries. However, modeling tools and game engines are developed with Euclidean geometry in mind. This paper addresses the problem of porting a game from Euclidean to elliptic geometry. We consider primarily the geometric calculations and the transformation pipeline.

Keywords:

Non-euclidean geometry, elliptic geometry, Game engines, transformations