The Periodic Table of Dimensions, conceived of in 1997, provides a tabulated structure for representing every physical measurement in the scientific literature, and the mathematical relationships among those measurements. The Periodic Table of Dimensions is much more than just a table, it is also a vector space: the space of Buckingham’s Pi-theorem and dimensional analysis.

The full 4D table presented in the paper A Periodic Table of Dimensions, available here, is shown above. Both 2D and 3D representations of a three-dimensional “rationalized” system have also been explored. A 3D-solid version, shown below, consists of 3D-printed plastic spheres floating on magnetic fields. The development of this rationalized system is documented in the paper Rational Dimensia​, available here. A Catalog of Synonymous Dimensions showing the overlapping dimensionality of the over 900 measurements incorporated into the Periodic Table of Dimensions is available here. Further research on applications of the Dimensional Coordinate System (DCS) on which the Periodic Table of Dimensions is based is documented in the paper Gravitating Sine Waves, General Relativity, And The Golden Ratio, available here.

The periodic table of dimensions can be further broken down into its individual hyperplanes. One such arrangement is shown below with the table broken down into the mechanical hyperplane and the electromagnetic hyperplanes.