Division by 3 does not exist

Think about it... how can you have 3 equal parts of an object? The decimate representation is impossible and one side always has to be bigger then the other. This is also why there is no such thing as 360 equal degrees in a circle as one degree has to be off by a little bit... There are no 360 numbers that will add up to 1 whole object either.

Re: 25

1 + 1 + 1 <--- these are seperate whole numbers.

You cant have 3 equal parts of 1<---- object.
You can change your number base to whatever youd like, there are still numbers that will not divide a whole object into equal parts. The sizes of the pieces that cause these impossible numbers will always be the same due to the laws of porportionality.