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:

## Universe: The Fabrics of Perception

I am working with the Latin language and it is helping me to classify my thoughts more effectively by understanding historical correlations in meaning. For example matter was considered a fabric. The term for light, “lume”, comes from the term loom which alludes to textile manufacture. In fact all of the textile terms merge with geometry where they were practically applied.

WEAVE: a fabric
POINT: a intersection
LINE: a line
ANG: a cut
HEIR: an area
VOL: layers
QUAL: a bundle

These terms have influenced our thinking for literally thousands of years. We still talk of the “fabric” of space, the fabric of time and “material” or whatever. We are unintentionally applying a metaphor. Yet it is a metaphor that has served us well.

At this point I present a scale that I have arrived at for human sensory perception.

### – 8 , – 2 , – 1 , 0 , + 1 , + 2 , + 8

where

8 is infinity

2 is two

1 is one

0 is zero

+ is positive

– is negative

– 8 : WEAVE below perception: Datrice
– 2 : POINT: below acception: Sortrice
– 1 : LINE: below exception: Matrice
0 : ANGE: exception: Natrice
+ 1 : HEIR above exception: Patrice
+ 2 : VOL: above acception: Fratrice
+ 8 : QUAL: above perception: Satrice

1. WHO: Eyes: Occipital Lobe: Speciatation of Matter.

+ 8 , + 2 , + 1 , 0 , – 1 , – 2 , – 8

Standard prefixes with root ASTR for the night sky:

– 8 : WEAVISTER: below perception
– 2 : POINTISTER: below acception
– 1 : LINISTER: below exception
0 : ANGISTER: exception
+ 1 : HEIRISTER above exception
+ 2 : VOLISTER: above acception
+ 8 : QUALESTER: above perception

PhotonicPhotons, PhotonicElectrons, PhotoincIons, PhotonicGases, PhotonicLiquids, PhotonicSolids, PhotonicMolecules

2. WHAT: Ears: Temporal Lobe: Association of Matter

+ 8 , + 2 , + 1 , 0 , – 1 , – 2 , – 8

Standard prefixes with root FUL for Electricity or “Lightning” which is interesting because it means we hear events.

– 8 : WEAVIFUL: below perception
– 2 : POINTIFUL: below acception
– 1 : LINIFUL: below exception
0 : ANGIFUL: exception
+ 1 : HEIRIFUL: above exception
+ 2 : VOLIFUL: above acception
+ 8 : QUALIFUL: above perception

ElectronicPhotons, ElectronicElectons, ElectronicIons, ElectronicGases, ElectronicLiquids, ElectronicSolids, ElectronicMolecules

3. WHEN: Nose: Brainstem: Attibution of Matter

+ 8 , + 2 , + 1 , 0 , – 1 , – 2 , – 8

Standard prefixes with root FIED for Ions or burn which is interesting because it means we smell ions or things that are reactive.

– 8 : WEAVEFIED: below perception
– 2 : POINTFIED: below acception
– 1 : LINEFIED: below exception
0 : ANGFIED: exception
+ 1 : HEIRFIED: above exception
+ 2 : VOLFIED: above acception
+ 8 : QUALIFIED: above perception

IonicPhotons, IonicElectrons, IonicIons, IonicGases, IonicLiquids, IonicSolids, IonicMolecules

4. WHERE: Throat: Parietal Lobe: Domination of Matter

+ 8 , + 2 , + 1 , 0 , – 1 , – 2 , – 8

Standard prefixes with root AER for Gases

– 8 : WEAVIER: below perception
– 2 : POINTIER: below acception
– 1 : LINIER: below exception
0 : ANGIER: exception
+ 1 : HEIRIER: above exception
+ 2 : VOLIER: above acception
+ 8 : QUALIER: above perception

GasicPhotons, GasicElectrons, GasicIons, GasicGases, GasicLiquids, GasicSolids, GasicMolecules

5. WHY: Mouth: Frontal Lobe: Ingestion of Matter

+ 8 , + 2 , + 1 , 0 , – 1 , – 2 , – 8

Standard prefixes with root AEST for Liquids or “Sea” which is interesting because it means that the Sea is the surface of the water.

– 8 : WEAVIEST: below perception
– 2 : POINTIEST: below acception
– 1 : LINIEST: below exception
0 : ANGIEST: exception
+ 1 : HEIRIEST: above exception
+ 2 : VOLIEST: above acception
+ 8 : QUALIEST: above perception

LiquidicPhotons, LiquidicElectons, LiquidicIons, LiquidicGases, LiquidicLiquids, LiquiidicSolids, LiquidicMolecules

6. HOW: Body: Cerebellum: Deduction of Matter

+ 8 , + 2 , + 1 , 0 , – 1 , – 2 , – 8

Standard prefixes with root TER for Liquids or “Earth” because it means that the creators of the word Earth meant “water”.

– 8 : WEAVITER: below perception
– 2 : POINITER: below acception
– 1 : LINITER: below exception
0 : ANGITER: exception
+ 1 : HEIRITER: above exception
+ 2 : VOLITER: above acception
+ 8 : QUALITER: above perception

SolidicPhotons,  SolidicElectons, SolidicIons, SolidicGases, SolidicLiquids, SolidicSolidsSolidic, Molecules

HOW MUCH: Gut: brain region unknown

+ 8 , + 2 , + 1 , 0 , – 1 , – 2 , – 8

Standard prefixes with root DUCT for Counting which is interesting because this involves the digestive process.  Molecule literally means “soft stone”.  Another word for dung.

– 8 : WEAVIDUCT: below perception
– 2 : POINTIDUCT: below acception
– 1 : LINIDUCT: below exception
0 : ANGIDUCT: exception
+ 1 : HEIRIDUCT above exception
+ 2 : VOLIDUCT: above acception
+ 8 : QUALIDUCT: above perception

MoleculicPhotons, MoleculicElectrons, MoleculicIons, MoleculicGases, MoleculicLiquids, MoleculicSolids, MoleculicMolecules.

Note: The seven International System Units are:

– 8 : WEAVE: below perception: Candela
– 2 : POINT: below acception: Ampere
– 1 : LINE: below exception: Kelvin
0 : ANG: exception: Metre
+ 1 : HEIRabove exception: Second
+ 2 : VOL: above acception: Kilogram
+ 8 : QUAL: above perception: Mole

I posted all of the above, because I believe that classification is underrated. If we spent more time thinking about the aesthetics of our classification language, which is presently total crap, we might make more discoveries.

How much do we conceal from ourselves because we deceive ourselves into thinkng a dogmatic classification system won’t bear fruit.

Have you ever seen this guy?

He beat his brains out letting the data talk to him and came up with this:

When Dmitri Mendeleev created this table to describe periodic behaviour of the elements, many of the elements had not been discovered. However, the table projected what the properties of those elements would be making the search much easier.  Dmitri also was very good at making Vodka.

As I have discussed there are Satrice, Fratrice, Patrice, Natrice, Matrice, Sortrice and Datrice networks.  Each of them classify in different ways.  Understanding these networks and their classification are the road to new discoveries.  Networks are classification systems.

I just saw this in the New York Times:

It is called a “Knowledge Map”.  It is a plot of the link clicking behaviour of a scientific community.  Not what they say is important, but where they are going that they think is important.  From this information it may be possible to reorganize knowledge to make it more accessible to everyone.

And that is what we are all here for getting and giving access.

## Search: SearchMe.com

SearchMe.com currently allows you to perform page search, image search, video search, music search, news search and shopping search  using the Apple iTunes Stack metaphor.

SearchMe.com also lets you create custom stacks.

I would like to be able to place a SearchMe style page image as a link in a Prezi.com presentation as well.

The thing I would like to see in SearchMe is the following by going into cooperation with Google:

• Visual Queries by submitting submitting video  bytes bigits.
• Aural Queries by submitting audio rates rigits.
• Nasal Queries by submitting nadio dates tigits.
• Tactal Queries by submitting tadio numbers ligits.
• Mental Queries by submitting medio text digits.
• Factual Queries by submitting ideo states figits.

All of the above queries can be supported by selecting the media object on the current wepage, then using the sites categories and tags for the object as search criteria.

I would also like to see each of the queries have several levels as I describe below using the most international websites as examples:

Search HOW:

The IMAGE Network Search

Search WHO:

The GROUP Network Search

Search WHAT:

The EVENT Network Search

Search WHEN:

The TREND Network Search

Search WHERE:

The CHASE  Network Search

Search WHY:

The AGENT Network Search

The above are the most global sites I could find.  I recommend that each site be fully indexed by SearchMe.

## 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 www.prezi.com 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.

## The Zen of Systems and Networks

My own work with Enterprise Frameworks and Networks has led me to come up with the following table.  It describes the Nodes and Links in a Complete System Network.  I am saying that the Nodes representing Goals, People, Time, Locations, Code, Data, Qualities and Quantities can all be represented as Scale-free Networks and that each of these Node Networks require only one datatype.  I am also saying that there are only three types of links in networks: recursive links within a set, multiple links between sets, single links between sets.  I know of no case where this has been attempted in the manner I am attempting to represent it.

If you have been following my blog you are aware that I have been struggling for a long time to come up with a framework and a clean terminological set to describe systems.  I think I have come one step closer to that goal today.  The table above describes a Fact composed of eight Nodes (first white row illustrating entities) and the Links (last three white rows illustrating recursive, multiple and singular relationships) for each of the System Networks (Interrogative columns).  One of the interesting aspects of this System Network Model is every Fact is composed of a Unique Set of all eight Nodes.  However, all the Nodes in one Fact do not have to have Links to all the Nodes in another Fact.  Each Node within a Fact is independent regarding its Links.  Therefore you have a single set of System Facts with each Fact containing a single set of Interrogative Nodes each connected by their respective Link Networks.

I have recently been writing with the intent to challenge centrism on any one of these networks and advocate a more integrated view. I still remember dealing with data centrism, event centrism, user centrism, goal centrism, program centrism and schedule centrism over the course of my career. All of them have a role to play. My insight into all of these Nouns being Linked by Verbs in only three ways required me to look at all of the Enterprise Architectures and disengtangle the Nouns, Links and Verbs from the reasoning and representations that extend back beyond computing itself.

The Data Model below is a hybrid of Relational Models and Dimensional Models.  I call this an Associational Model.  It is using Relational Architecture to represent it.  However, I think that an alternate Entity-Attribute-Value (EAV) architecture called the Associative Model of Data would be better suited to the task.  I am using relational representation as I am still trying to communicate with a community only familiar with Relational technology.

The first thing to note about this model is Links are represented by Associations.  Associations link two Nouns using a Verb.  What is interesting about this model is every Verb, Association, Noun and Fact is unique.  The vertical connections are Many to Many relationships which allow two vertically adjacent Verbs, Associations or Nouns to have multiple unique relationships between each other.  What this means is there are no integrity problems (duplicate values) as the system network would enforce uniqueness.

The premise of this model is that the Nodes are not dimensions at all.  I am rejecting the traditional concept of dimensionality instead I am saying that there are three dimensions of Links: recursive, multiple and singular.  All we perceive are Facts, Nodes and the Links between them.

So you could come away with the following Zen koan:

entity without entity,

source without source,

path without path,

target without target,

size without size,

dimension without dimension.

## Icons: Systema Iconic Language: Part IV

I have been thinking about all I have read to this point and something occurred to me this evening.  There are no such thing as nodes and links.  There are only equilibrium and non-equilibrium states respectively.  Newtonian Thermodynamics only describes equilibrium states.  It does not account for the transition between states when equilibrium does not exist.  So it is with all networks.

When you navigate the web, you are actually moving from one HTML equilibrium state to another HTML equilibrium state.  The page metaphor is concealing the conceptual character of the process.

## Back to Basics

The web navigation buttons on a browser are also deceptive.  They do not reveal the logical consistency between the navigation of hypertext networks and goal networks, contact networks, service networks, product networks, location networks, event networks and unit networks.  The consistency between the many forms of media is also concealed by not recognizing that all forms of media are networks transitioning between equilibrium and non-equilibrium states.  It is important to recognize that any form of process or data structure is really a network, even relational databases are simply lattice networks.

The above Icons are the only ones you need to deal with “step” and “loop”, two of the three “linear” processes for navigating any network.  In reality there is no such thing as a linear network.  There is only a path through a set of equilibrium states connected by these non-equilibrium states.  The remaining “decision” is not a binary decision, but a case or switch which is represented by hyperlink icons.

In reality, with the option to back track and break continuity by creating new browser windows, navigation of the web is much more like Prolog than say Basic or C.

It is that simple.  The above icons are the universal icons for navigation of any network, the rest irregardless of conceptual and physical meaning are hyperlinks.

I think it is significant to indicate the target state for hyperlinks through use of icon background shape and color, and to indicate target context through the use of icon foreground content.  This would make hyperlink icons much more communicative and universal.  As also discussed, hyperlink content could be presented as picticons (picture icons), graphicons, (graphic icons), liticons (text icons), sonicons (sound icons), anicons (animated icons) or vidicons (video icons) that exhibit proscribed behavior when rolled over.

## Icons: WordPress 2.7 Alternative Icon Set

I’m a bit disappointed.  WordPress held an Icon competition for the WordPress 2.7 User Interface with little fanfare and a meager number of entries.  It was so low key, I missed out on it.  So, I am going to present my own set of Icons for WordPress 2.7:

I aimed for a consistent, simple yet differentiated set of icons.  If you like my icons, let me know.  Let WordPress know.  Maybe they will reconsider.

## 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.