What you call R is nothing but a shadow of a Number systemWhat you call R is nothing but a shadow of a Number system that rudandancy and uncertainty are its first-order poroperties.

In the diagram below (*) we can see that Redundancy and Uncertainty are like a white light before it passes through a prism, and after it passes the prism it is broken to particular colors.

The white light is considered as the most symmetric state (the highest degree of Redundancy and Uncertainty) and the colored (broken) light has the lowest symmetrical degree with maximum information's clarity degree:

(*) http://www.geocities.com/complementarytheory/RB2.jpg

This Number system is both structural/quantitative parallel/serial framework, as can be seen in this Organic-number:

http://www.geocities.com/complementarytheory/ONNfrac...

which is based on these bulding-blocks:

http://www.geocities.com/complementarytheory/234.jpg