Design: Business Design Induction/Deduction


This is my latest incarnation of the Business Design Process.  Induction (Brainstorming–generation of ideas) is Counter-Clockwise.  Deduction (Refinement–elimination of ideas) is Clockwise.

Below is the Intelligence Architecture:


Here is the Media Architecture:


This is the Data Architecture for this model.  Note that all values are accepted even if they are wrong:


Below is the Network Architecture of this model.  Note that the values are unique (nodes) and they are sequential (edges):


Here is the Text Architecture:


Here is the Numeric Architecture:


Here is the Octonion Architecture:


Icons: Buttons: 03: Patrix








  1. Nodes – A series of Entities
  2. Edges  – A series of Nodes
  3. Faces – A series of Edges
  4. Solids – A series of Faces
  5. Lines – A series of Solids
  6. Areas – A series of Lines
  7. Volumes – A series of Areas

The Brain: ZenUniverse 4.0


“Tao can Tao not Tao”

Lao Tzu

I have been looking at the Platonic Solids and thinking about how they correlate to the five senses. I thought about the left and right hemispheres of the brain and realized that each of the Platonic Solids should be truncated to represent the right hemisphere. Now I had ten solids to work with. I worked backward from this and recognized I had to create a separate left right pairing of each of the senses to represent the brain correctly five on the left and five on the right. I have to create pairs of senses, trios of senses, quartets of senses and a quintet of senses. This is because these are ways we learn. We learn most when our senses are learning as a quintet.  This is why complete immersion in the environment we are to learn about is so effective.

This is a major revision of all my previous work.  However, I feel it provides a much more robust sensory model.


“To every action there is an equal and opposite reaction.”

Isaac Newton

Isaac Newton’s legendary statement was the premise of my new design.  I saw there were five Platonic Solids and as a reaction they would produce the five Truncated Platonic Solids.  This would influence all the components of the Solids.



Radeons.  They are radical emissions.  These are based on the number of polytopes in the Platonic Solids.  These are your right  origins.



Ideons.  They are Ideal emissions which are temporal radical emissions.  These are based on the number of polytopes in Truncated Platonic Solids.  This is your left percetual spatial origin.



Audeons.  They are audal patterns.  These are based on the shape of the faces of the Platonic Solids.  This is your right temporal plane.



Mudeons.  They are musical patterns which are temporal audal patterns.  These are based on the shape of the Truncated Platonic Solid truncation faces.  These are your left temporal planes.



Nadeons.  They are nasal intensities.  These are based on the angles of the Platonic Solids faces.  These are your right parietal arcs.



Gudions. They are gustal intensities which are temporal nasal intensities.  These are based on the angles of the Truncated Platonic Solid truncation faces.  These are your left parietal arcs.



Mates are Tadeons.  They tactal points.  These are the number of intersectin edges for each Platonic Solid’s polytope.



ReMates are Bodeons.  They are Basal points which are temporal tactal points.  These are the number of intersecting edges for each Truncated Platonic Solid’s polytopes.



The pyramids contain the space of the radeons combined with the audeons.  Obtuse triangular pyramid, Right square pyramid, Right triangular pyramid, Right pentagonal pyramid, Acute triangular pyramid.


Imadeons.  They are imadical solids.  These are a cound of the number of faces on the Regular Solids.



Videons they are visical solids which are temporal imagical solids.  This is the the count of the number of truncation faces on the surface of the Truncated Platonic Solids.


Stateo Ateo Summary


  1. GREEN: EYE: OCCIPITAL LOBE: visual center of the brain
  2. YELLOW: EAR: TEMPORAL LOBE: sensory center of hearing in the brain.
  3. SKY: NOSE: BRAINSTEM: control of reflexes and such essential internal mechanisms as respiration and heartbeat.
  4. BLUE: TONGUE: PARIETAL LOBE: Complex sensory information from the body is processed in the parietal lobe, which also controls the ability to understand language.
  5. ORANGE: BODY: CEREBELLUM: regulation and coordination of complex voluntary muscular movement as well as the maintenance of posture and balance.
  6. RED: MIND: FRONTAL LOBE: control of skilled motor activity, including speech, mood and the ability to think.



Relationary Browser

What I am finding in my current work is that there are a set of symmetrical, semi-symmetrical and asymmetrical polyhedrons that can be used to describe an individual’s network with the the individual as the focus and direct links as radii to individuals represented as polytopes and the reporting groups (circles) represented as polygons formed from connecting the vertexes for the individuals in the reporting groups with edges.

Suddenly, “spheres of influence” can be modeled and utilized to the benefit of the communities of the individuals.

Prezi could be used to navigate the vertexes on the surfaces of these spheres of influence as a giant two dimensional map of linked pages that you could “dive” into or “surface” out of through the links instead of forwarding or backwarding.

All you would have to do is have a “map” button that you click on and all the child pages for the current page are displayed as a Prezi map.  As a line or table of pages,  as a sphere with the pages displayed on the surface or flat one degree daisywheel with the tops of the pages pointing to the center where an icon for the current page resides.  Rotate the daisy to look at the pages right side up.  Or navigate freely Prezi style.

This could be applied to webpage networks, citation networks, social networks, location networks, date networks, time networks or state networks, career networks, image networks or any other form of network you can dream up.

If you have a company capable of developing this, I am looking for work and this would be a great project to get paid for.

150: A Network Threshold

I was thinking about Malcolm Gladwell’s interesting book Tipping Point and it occurred to me that there is a network that is similar to his “The Magic Number 150” chapter that says communities break down when the membership reaches 150.

It is the C60 Buckminsterfullerine or a truncated icosahedron.

Truncated icosahedron

This interesting little geodesate has 60 vertexes and 90 edges.

In the context of an associative database that is 60 entities and 90 associations or 150 Entity Types.

It is interesting that the most symmetrical of shapes might as a network correspond to the threshold he describes in communities.

Systema: Geodesates as Singularities

“No one untrained in geometry may enter my house” — Plato

Over the past year I have been working with associative and relational databases attempting to find out more about how to develop a better database architecture.  This has taken me into many realms including network theory, chaos theory, state transition theory, geometry, logic, chemistry, biochemistry and physics.  Recently, I began to put these things together and I think I have had a valuable insight.  I call this insight “Geodesate Singularities”.

Geodesate Singularities regard networks as transitions between geodesates which are a group of convex polyhedrons.  Convex polyhedron networks have vertexes as nodes and edges as links.

What is of primary importance to this concept is the vertex enumeration (number of vertexes) and the polytope (number of edges per vertice) in these convex polyhedrons as geodesates are regarded as the most stable states.

First frequency Geodesates are a subset of the Platonic Solids and the Archimedean Solids:

  1. 3 edges per 4 vertices – 6 edges  – Tetrahedron
  2. 4 edges per 6 vertices – 12 edges  – Octahedron
  3. 3 edges per 12 vertices – 18 edges – Truncated Tetrahedron
  4. 5 edges per 12 vertices  – 30 edges – Icosahedron
  5. 3 edges per 20 vertices  – 30 edges – Dodecahedron
  6. 3 edges per 24 vertices – 36 edges – Truncated Cube
  7. 4 edges per 30 vertices – 60 edges – Icosadodecahedron
  8. 3 edges per 60 vertices – 90 edges – Truncated Icosahedron
  9. 3 edges per 60 vertices – 90 edges – Truncated Dodecahedron
  10. 5 edges per 60 vertices – 150 edges – Snub Dodecahedron
  11. 3 edges per 120 vertices – 180 edges – Great Rhombicosidodecahedron

Higher frequency Geodesates are triagulations of the above solids.  I recommend downloading the Mathematica Player and the Mathematica Demonstrations Project Geodesate Demonstration to view the polygons for each frequency.

Again, what is important in the Geodesates are the number of vertexes (nodes) and edges (links).

My hypothesis is when the growth of a network achieves the vertex enumeration and polytope of a geodesate at the first frequency or higher, a singularity state exists in the network order and results in a state transition of the network when exceeded.

Increasing a Geodesate’s frequency involves dividing the faces of the chosen polygon into sub-triangles:

The first frequecy subdivision is termed as 1V, second as 2V, third as 3V and fourth as 4V.

1V Icosahedron Geodesate

12 Vertexes – 12 5 Edge Polytopes

2V Icosahedron Geodesate

42 Vertexes – 12 5 Edge Polytopes – 30 6 Edge Polytopes

3V Icosahedron Geodesate

92 Vertexes – 12 5 Edge Polytopes – 80 6 Edge Polytopes

4V Icosahedron Geodesate

162 Vertexes – 12 5 Edge Polytopes – 150 6 Edge Polytopes

I think geodesate singularites have  implications for Telic, Organic, Chemic, Physic, Static and Gegonic networks.  This has implications for Ray Kurzweil’s Singularities, Malcolm Gladwell’s Tipping Points, Stuart Kauffman’s Self-Organization and Howard Rheingold’s Cooperation Theory.

Convex polyhedrons and geodesates could create and limit new organizational structures for enterprise goals, personnel, products, measures, spaces and schedules.

Related Links:

Icons: The Czerepak Framework

Beyond the Singularity

Physics: Observer as a State

Sociology: The Six Adopter Types

Rules: The Connecting Tissue


The nodes for the network graphics are Cause states, Observer states, Energy states, Mass states, Space states and Time states.  To make this more relevant to business we can use the terms Goals, People, Functions, Data, Locations and Events.  The edges that connect the nodes in all the networks are Cause rules, Observer rules, Energy rules, Mass rules, Space rules and Time rules.  Nodes give the system its concepts, while edges give the system context.  States provide extegrity (new term) while Rules provide integrity.

Each of the networks is composed of finite steps between the starting and terminal node called paths, the potential ways of following the rules to perform the steps are called the strategies, the actual strategy followed is called the tactics, the edges operations and the  nodes are states .

Whether you are negotiating Goals, People, Functions, Data, Locations or Events, you have to create and observe the rules to maintain the integrity of the networks.  Goals are connected by Rules, People are connected by Rules, Functions are connected by Rules, Data are connected by Rules, Locations are connected by Rules and Events are connected by Rules.  Even Events (Time) is a network, because we are continuously referring to different clocks in different frames of reference.

All rules have the same characteristics:


We’ll explore how we will model this for each of the Six Hats, Six Coats networks in a subsequent post.

Now we have the connecting tissue of our networks.  Knowing this, we can embark on a course to model all six networks separately.  Once that is complete we can work on integrating two, three, four, five and finally all six networks into a single set of conventions.

Related Posts:

Systema: Seven Hats, Seven Links