Imaging n-Dimensional Spaces Within m-Dimensional Spaces: An Extension of Hinton’s Method

Abstract

We derive a Euclidean manifold that is virtually cyclic using a simple equation based on a Euclidean geometry and related to Hinton’s method. The derived equation is simple to understand, but able to project n-dimensional spaces into m-dimensional spaces. In addition, the method produces exact images of rectangular cuboids as elements of a vector space, implying that information is a vector and not a scalar.