Test Your Intuition (5)

animal-silhouettes-3 

(Not such a set)

consider a planar set A with the following property. In every direction, the distance between the two parallel lines that touch A from both sides is the same! Must A be a circle?

You can find the answer here.

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4 thoughts on “Test Your Intuition (5)

  1. I first encountered these construction in Poul Anderson’s story “The Three-Cornered Wheel”, in which the protagonists need to transfer some heavy stuff a long distance on a primitive planet where the shape of a circle is sacred (and therefore forbidden to use).

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