No way to know what is true, only a way to do it.
When drawing in a particular way one can add lines repeatedly. Here we subdivide over and over a region in the plane. We use a counting rule, starting with a partition of a randomly chosen - preferably small, we do this by hand - number.
Take 21. That is 7+7+7. So we start with a division by three, and each new cell we partition again, 3+2+2, so again divide by three, and two of these we divide by two and the last one we divide by three. Not very elegant to explain it this way.
There are many, many ways to do this, but no way to know which is the true one. Only knowing we did it the right way.
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