I'm not sure what sort of axioms you are looking for. Are you thinking of geometry or combinatorics or something else?On what Axioms that concern in this question are based:
What the maximal number of regions that a state that 3 circles that intersect together?
Answer: the number is 7.
Why 8?I'm not sure what sort of axioms you are looking for. Are you thinking of geometry or combinatorics or something else?
Also, as I see it, three circles form 8 regions, including the exterior, so you need to clearly state what you mean by that.
There are seven bounded areas and one unbounded area( outside the seven).Why 8?
Can you explain?
But if you draw a rectangle around the intersecting circlesThere are seven bounded areas and one unbounded area( outside the seven).
Still having problems counting to five are you? Take a look again.But if you draw a rectangle around the intersecting circles
such that each side of the rectangle is tangent to a circle,
then you get 4 more areas and no annoying unbounded area
Yer right....missed the sungun at bottom-centerStill having problems counting to five are you? Take a look again.
What about the area outside the rectangle?… if you draw a rectangle around the intersecting circles … then you get … no annoying unbounded area
That area is VERY largeWhat about the area outside the rectangle?
?
Indeed! That's why we call it an "unbounded area".That area is VERY large