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--- pow:problem2f21 [2021/09/28 03:02] – created mazur
+++ pow:problem2f21 [2021/09/28 04:56] (current) – mazur
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+<box 80% round orange| Problem 2 (due Monday, September 27)>
+a) Given three distinct parallel lines on the plane, prove that one can choose one point on each
+line so that the 3 points are vertices of an equilateral triangle.
+b) Given four distinct parallel planes in the space, prove that one can choose one point on each
+plane so that the 4 points are vertices of a regular tetrahedron.
+</box>
+The problem was solved by Ashton Keith and Pluto Wang. Pluto's solution to part a) is slightly
+different from our solutions, while Ashton's solution is similar to our first solution. The provided solutions
+to part b) are similar to our solution, except that Pluto's solution is a bit sketchy and Ashton's solution
+is brave enough to provide explicit computation rather than just an existence argument. For details
+see the following link {{:pow:2021fproblem2.pdf|Solution}}.