The fourth dimension is an abstract concept derived by generalizing the rules of three-dimensional space.  It has been studied by mathematicians and philosophers for almost two hundred years, both for its own interest and for the insights it offered into mathematics and related fields.

The figures are generated by applying the rules of vectors and coordinate geometry to a space with four dimensions.  A vector with four elements, such as the geomantic figures, can be used to represent a position in four-dimensional space.