Representation of Hypertetrahedra Using Three-Dimensional Cross Sections
There is currently little psychological research on higher dimensional spatial cognition and none of these studies utilized virtual environments as means of displaying representations of higher dimensional space. It is yet unclear whether humans possess any ability to comprehend or synthesize information about higher dimensional shapes. A virtual environment was used in order to provide the most immersive interaction with a four dimensional geometric figure by projecting vary three-dimensional cross sections in real time based on user input. The method of producing the four-dimensional figures used in this study and the manner in which we compute the three-dimensional cross sections will be described in detail. Finally, a discussion addresses current progress and encountered issues and briefly describes possible future investigations involving shapes of more than four dimensions.
School:
University of Illinois at Urbana-Champaign
Department:
Computer Science
Research Advisor:
Frances Wang
Department of Research Advisor:
Psychology
Year of Publication:
2005