Math and Logic Puzzles: Redux

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Inferno390
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Inferno390
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Post Post #62 (isolation #0) » Tue Jul 03, 2018 2:25 pm

Post by Inferno390 »

In post 60, BTD6_maker wrote:Turbo the Snail is back. This time, there are n circles on the plane. No three circles meet at a point. Turbo begins her journey on one of the circles. She initially moves clockwise along this circle. She moves along a circle until she reaches an intersection. Then she starts moving along the other circle and also changes direction (from clockwise to anticlockwise and vice versa). Prove that, if Turbo's path entirely covers all the circles, n is odd.
Important question: Do the circles intersect at tangents or no?
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