MMM2020.pdf
(2.18 MB, PDF)
… Problem 1: Down to the wire When visiting a friend, Sonja notices the following piece of art hanging on the wall. She is much interested in the patterns and curves that are generated by the white pieces of string that are visible in the left bottom corner and the right upper corner. To describe these curves, we introduce coordinates x (horizontal) and y (vertical), such that the four corner points are (0, 0), (1, 0), (0, 1) and (1, 1), respectively, with (0, 0) being the point in the left bottom corner. For convenience, we will only address the right upper part of the figure. Each of the white lines up there has the following property: it connects a point with x-coordinate p 2 [0, 1] on the … of a segment with one endpoint point on C1 and the other endpoint on C2? Problem 3: Star Wars Fred collects laminated pictures of Star wars characters. Those pictures are sold individually packed in opaque pouches and unknown in advance by the buyers, for a price of 1 Euro a pouch. (Hence, each pouch contains exactly one picture.) The seller has filled one third of the pouches with a picture of Rey, one fourth with a picture of Finn, one sixth with a picture of Poe, and the rest with …