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KCC's Quizzes AQQ271 about a Jordan Curve Theorem applied for sheep

New quiz AQQ271 about a Jordan Curve Theorem applied for sheep

  

As one of the most famous theorem in topology (just recently demonstrated in 1980 ,

the Jordan curve (drawn in black) divides the plane into an "inside" region (light blue) and

an "outside" region (pink). Basically, the theorem says all the points (and only those) 

in each of the 2 regions are connected without crossing the border.

It appears obvious but the formal proof was not evident.

Let’s applied it to our sheep spread in- and out-side a bizarre enclosure partially masked by 3 large trees.

Question: Despite of the trees, determine which of the 6 sheep A,B,C,D,E,F are inside and outside the enclosure.

Good luck and try to be among the first ones!

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  • Thanks  for having tried! Indeed the quiz is quite tricky... In fact Jordan had established a certain number and  of laws and rules that can ease the resolution of the quiz. If you could use them, you can find And D are outside while B, C,E and F are inside