Human four-dimensional spatial intuition in virtual reality

Micheal S. Ambinder, Ranxiao Frances Wang, James A. Crowell, George K. Francis, Peter Brinkmann

Research output: Contribution to journalArticle


It is a long-lasting question whether human beings, who evolved in a physical world of three dimensions, are capable of overcoming this fundamental limitation to develop an intuitive understanding of four-dimensional space. Techniques of analogy and graphical illustration have been developed with some subjective reports of success. However, there has been no objective evaluation of such achievements. Here, we show evidence that people with basic geometric knowledge can learn to make spatial judgments on the length of, and angle between, line segments embedded in four-dimensional space viewed in virtual reality with minimal exposure to the task and no feedback to their responses. Their judgments incorporated information from both the three-dimensional (3-D) projection and the fourth dimension, and the underlying representations were not algebraic in nature but based on visual imagery, although primitive and short lived. These results suggest that human spatial representations are not completely constrained by our evolution and development in a 3-D world. Illustration of the stimuli and experimental procedure (as video clips) and the instruction to participants (as a pDF file) may be downloaded from

Original languageEnglish (US)
Pages (from-to)818-823
Number of pages6
JournalPsychonomic Bulletin and Review
Issue number5
StatePublished - Oct 1 2009

ASJC Scopus subject areas

  • Experimental and Cognitive Psychology
  • Developmental and Educational Psychology
  • Arts and Humanities (miscellaneous)

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    Ambinder, M. S., Wang, R. F., Crowell, J. A., Francis, G. K., & Brinkmann, P. (2009). Human four-dimensional spatial intuition in virtual reality. Psychonomic Bulletin and Review, 16(5), 818-823.