Now in college, when I went in the 1960s and 1970s, they made a large and huge effort to play down the number 10. I suppose that is the case today. Where teachers say that just because we have 10 fingers, does not mean 10 is special. Or they say that base 2 is more "natural" than base 10. Or they say that degrees were based on 360 and not 10.
But what they do not say or emphasize is how really special 10 is for that 10, then 100 then 1000, etc etc form the numbers of a sequence that has the maximum zeroes with only one other digit "1". That 10 sequence is the only sequence that allows for its inverse to be evenly divisible of its maximal number so that we form a Coordinate System. All other numbers in mathematics are unable to form a Grid system as "evenly divisible" except 10. In the 10 Grid, we divide 1 through 10 by 10 and end up with 100 coordinate points and if we operated with any of those 100 points we end up with answers of numbers that are either in the 10 Grid or the next Grid of 100 Grid or the next, but nowhere else do we have such a special number. In other words, 10 as a base of a Grid system is unique and perfect to make that Grid system and to tie geometry with algebra.
And the answer as to why 10 is so special is because of the Maxwell Equations are 10 equations.
A few moments ago in sci.physics, I wrote this:
Alright, so, how does the 10 fully symmetrical Maxwell Equations deliver to us 10 as the basis for the Coordinate System of Mathematics and for the decimal system of algebra?
Well, if the Maxwell Equations are the axioms over all of physics and math, they must deliver the base number for how many particles exist as 10 so that we can write the axioms as 10 particles or write the axioms as 10 equations.
We can list the magnetism equations on one side as the 5 and the electricity equations on the other side as the other 5. Since there are 2 forms-- electricity and magnetism and 5 equations in each, that 2 is prime and 5 is prime and together there are 10.
So the smallest, lowest Coordinate System to hold geometry and algebra is a 10-Grid and any larger grid is a multiple of 10^x for x a counting number.
Now if the Maxwell Equations had held of 8 original of 1861, then Nature would have 4 particles (with their antiparticle) and the Grid system would be based on 8, not 10.
If the Maxwell Equations had been only 4, as the modern day oversimplified compressed format holds, then Nature has only 2 fundamental particles and their antiparticle and the Grid system of geometry would be based on binary 2 system, which is a rather colorless paltry world.