Dimensionality is usually thought of mathematically, extending the metaphor of the number line into areas or volumes or complexities above volume.
The number line represents a number, say c, where using linear distance we can map by analogy for a graphic visualization of a number. Well, we who are used to Euclid internalize distance and associate an intrinsic quality of a number, or a measure of the magnitude of the line segment or vector, which indeed a property of each member of the set real numbers becomes, namely distance, when we assign distance as an intrinsic quality for the set of real numbers. Any object oriented programmer will be quite familiar with what I am talking about. It doesn't have to be that way, of course, as we see classes defined in object oriented programming as being able to be deprived of intrinsic qualities. That is, we can remove as an intrinsic property from the class of real numbers the item 'distance', or perhaps substitute or fortify with the additional property of 'arc length'. The question had been asked of the terminology for dimensions greater than 'cubed', as in c, c-squared, c-cubed, etcetera. Simply it would be c^4 becomes c-quadricubed, c^5 corresponds to penticubed, c^6 corresponds to hexicubed, septa, octal, nonal, deci. We can then say than c, past the three dimensions we use as a graphic analogy and have assigned as intrinsic properties to our classes of real numbers in real space, back and forth, would be over and above c-cubed as c-plexicubed. An alternate form then becomes c-plexicubed to the nth, or c-plexicubed[n]. This seems to be the simplest and easiest way to go about the terminology. hth Mark _______________________________________________ http://www.mccmedia.com/mailman/listinfo/brin-l
