IsWith - Your ComCom Networking

Look at those few symbols:
* http://en.wikipedia.org/wiki/Ouroboros
* http://en.wikipedia.org/wiki/Taijitu
* http://en.wikipedia.org/wiki/Triquetra
* http://en.wikipedia.org/wiki/Celtic_knot

Such ancestral signs are quite a success as neat tribal tattoos or rock band logos. And yet most of these signs are even more older than writing.

Here is a new interpretation of the meaning of these signs, which help to understand why they look so much important to us. All these ancestral signs are "Prim entrelacs".

A prim entrelac is simply a set of arrows which links each others so that the resulting graph is closed and can't be divided into some smaller closed graphs.

Reminder: An arrow is -according to the Entrelac theory- an ordered pair of arrows.

Prim entrelacs are typically atomistic. They are full-defined and they can't be divided. Even more important, it's possible to recognize a"prim entrelac". How?

Example: Look at an arrow which links to itself by both hands and call it Ouroboros. Now, next time you'll met such an arrow, you'll be able to put a name on it. Mathematically, we may say that the second arrow is isomorphic to the first.

Prim entrelacs allow me to declare that even in a pure relationist space, it's possible to store information which lay on a symbols dictionary. Prim entrelacs will be the needed symbols.

As it's possible to define a bijection between the infinite set of binary strings and the set of prim entrelacs, I can even postulate that any binary strings is equivalent to a particular set of arrows.

You may wonder why I'm so worried by "prim entrelacs" equivalence. Because it allow me to build a computing system which relays on arrows and which can handle arbitrary binary strings at the same time. If I want to classify and manipulate heavy bitmap pictures through this system, It will be OK to import those pictures in the system without violating the "All is arrow" paradigm.

Now, I wont bother any potential readers any more about "prim entrelacs" / atoms equivalence. Sorry for the annoyance.