Systema: Geodesates, Nodes and Links

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

A predominant issue arising from my work is the discovery of the difference between a node and a link.  A node type represents a state type while a link type represents a transaction between state types.  However I am finding there are a limited number of node types (self-ordered states) and link types (self-ordered state actions).

In the diagram below, each polyhedron is a first frequency geodesate and has a unique polytrope/polytype combination.  A polytrope is the number of edges per polyhedron vertex.  A polytype is the number of polyhedron vertexes.  This is not the final version.  I am still working to purify my geodesate concept.

What I am revealing here is that each of the seven Node Types on the Left has only one Link Type on the right.  In the same way that an association is composed of a source node type and target node type, an association is composed of a source link type and target link type.

Here is an example of a homogenous Entity to Entity association:

Here is an example of a hetergeneous Entity to Positity association:

Having considered this it is now possible to conclude that there are a unique set of nodes each with a unique link which can be used to build homogeneous or heterogeneous associations.  In otherwords, each node type can perform only one action type.  It is the reaction type of the target node type that makes the action reaction combination unique in the system.

Let’s look at some examples of node type and link type associations:

  1. To identify a positity, positifies an identity.
  2. To objectify a projectity, projectifies an objectity.
  3. To chronify a chronity, chronifies a chronity.
  4. To projectify a quantity, quantifies the projectity.
  5. To qualify an identity, identifies a quality.

Fourty-nine possible type combinations exist.  I think there are even more types which I will explore with Archimedean Solids and higher frequency Geodesates in later posts.