Fractal Taxonomic Methods

Comparative Systems Theory proposes that any complex systems can be modeled. The model is a simulation which is the only way we have of understanding the function of the complex system in a way that allows us to predict its behavior.

Fractal Systems Theory propose that any complex system can be modeled using fractal “Simplex” or “Triadic” building blocks. The “Triadic” building blocks contain three elements - “Structure, Function & Performance”.

In “generative” fractal system the fractals form a hierarchy of fractals strting with one fractal which generates the next level of fractal capability – like a biological evolutionary taxonomy or a Forth computer program.

In a Novoplex hierarchy, all of the fractal units in the hierarchy can “talk” to each other – like a formation of fighter pilots or like a C++ program. This is also called a hyper-deck. In a

Holoplex hierarchy each fractal contains all of the elements of the whole system – like human stem cells may have the genetic code for all cells in them. The triadic fractals are used to model the structure, functional/non-functional capability and resultant evolution of complex organizations as they go into a feedback relationship with their environment.

In a Triadic-generative system us in this presentation, the base fractal a-level unit with structure, function and emergent performance capability enables the next stage of complexity by generating three more fractal b-level units with expanded emergent capabilities. This activity continues until the simplest possible fractal structure with sufficient capability to model the evolution of an emergent phenomenon is achieved.

Heuristic Organizations are systems that generate knowledge and learning using feedback mechanisms. All engineering and design companies associated with the Semiconductor Industry are heuristic organizations.

On a very deep level, this methodology connects the Simplex EVOP method developed by Box and Bacon, Systems Theory of G. Bateson using the a Forth programing language system of hierarchy.

In this current work, a highly regular, general model of a technology development organization is formulated that can be systematically modified to characterize a wide range of heuristic institutional structures. Because the structure is built up from repeating modules – like a snow flake -it is designated as “Fractal”. Because the structure is expanded by a recursive system of rules that “unfolds” the structure in regular way, it is designated as “Recursive”. Because the formulated organizational structure develops new feedback capabilities as it expands/unfolds it is designated as “Emergent. Fractal, Recursive, Emergent Systems are designated as Holistic-Holographic Systems.