Great post Anthony and in many ways I share his concern.

I figure it has something to do with counting in threes. and/or doubling. There is evidence within the tombs of Giza, for example, where a simple doubling system has been applied to the artist grids, the starting number being 11.25

11.25
22.5
45
90
180
360

We know they looked at numbers differently. For example when they looked at the number three and thought equal portions they couldn't bring themselves to divide by 3. First they extracted 2/3rds of it and then halved it. The contradictory logic of first extracting 2/3rds of a number before halving must have a beginning, a point in time where the human interlect demanded that such steps, and in a particular order, should be taken. The modern mathematician might find this perplexing or even amusing but there has to be an answer for it somewhere.

It definately requires thinking in threes.

If we look at a block of square tiles arranged 4x3 the doubling begins 3/6/12. If we remove 2/3rds of the tiles we are left with 4 and the doubling is quite basic, ie, 2/4.

It has something to do with re-arranging tiles (or squares) to a set pattern. Anyway its given me food for thought and I'll see if I can come up with the real deal at a later date.