The Whole Unit and Nothing But the Unit
A fairly simple geometric manipulation, the Unity Series, generates, one after the other, a continuous series of Numbers, Ratios, Constants, Radicals and Forms, from which we construct everything else in the world of Science and Mathematics and Data. These are the same "Transcendental" Principles that govern all the constructions and processes of nature. This is the Gnomic World, it is the world of self-iteration, radicals, gnomons, and Golden Ratios.
The Geometric World is governed by Phi and Pi and the Square Roots of Two and Three and Five, and the ubiquitous e.
Furthermore, these Entities have two identities, defined by the two sides of the Lambda. On the Geometric side these identities are Perfect and Unitarian, and their Ratios are without blemish. On the other side of the Lambda, these same figures are the most irrational, rowdy, and hard to corral Numbers (they are frequently used as models for random number generation).
These same Numbers are very powerful and continually crop up in the least expected places as well as just about everywhere else. Form, Number, Progressions, Crystallography, Molecular Bonds, Platonic Volumes, Cellular Growth, Fractal Dynamics, Branching, wherever we look in Nature we see these same Gnomens reflecting the inherent order of all things, and all processes no matter how chaotic they appear on the surface.
The self-iterative environment is one of self-replication. The Radical Unit (root), times itself becomes the Whole Unit, the Whole Unit times itself becomes the Exponential Unit, and the Whole Unit divided by itself becomes the Fractional Unit. ad infinitum.
The "Cosmic"Elements are the structural underpinnings which we use to describe all Forms, Shapes, and Process on either side of the "Lambda," and convenient for us, there are many simple "conversions" which allow us to manipulate data between these different environments.