Abstract

Hinton’s methodology of perceiving four-dimensional space is based on the application in higher dimensions of the geometric properties of objects that exist in our familiar three-dimensional space and on colouring all the points of these objects according to their movement through these four dimensions. Hinton applied his methodology on coloured cubes, thus leading to a mental perception of the hypercube. In this article, we evolve Hinton’s methodology aiming at the mental perception of the hypersphere, based on tracing and colouring the hypersphere’s points according to their four coordinates. Finally, we describe an interactive application that we developed for visualizing the hypersphere.