Did you know that the ancient Babylonians based their mathematical system on the number 60, as opposed to the decimal system we use today? And that bees build their honeycombs using hexagons (aka six-sided figures)? Or that carbon, the basis for life as we know it, has an atomic number of 6?
If we so desired, we could use a heximal system, based on the number six. Further, making this system modular (or circular, like time shown on a clock) would effectively create a world where sixes become tens and tens become meaningless. In this case, 4+2=0, just like 12=0 on a clock. This is a fitting representation of the madness that is running in circles.