by John Ehrke | Sep 20, 2019 | Problem of the Week
Maximize the Area This problem is from the newsletter for users of the TI graphing calculators. Given a rectangular piece of paper, label the four corners of the paper A, B, C, and D (see figure below). Fold the vertex A so that it just touches the segment CD....
by John Ehrke | Sep 13, 2019 | Problem of the Week
Alexander’s Walk Home This problem is from Alexander Karabegov. Suppose that when Alexander walks home he always chooses one or the other of two routes. In one route he stays on a sidewalk that makes a right-angle turn and is tangent to a circular flower garden...
by John Ehrke | Sep 9, 2019 | Mu Sigma Events
Thank you to everyone who took the time to vote in the Mu Sigma nominations and elections this last week. The voting is now closed and we have new officers for the 2019-2020 school year. The list of officers is below. Congratulate them if you get a chance (or send...
by John Ehrke | Sep 6, 2019 | Problem of the Week
Find the Speed This problem is from Robert Stanfill by way of Tim Coburn. Outdoorsman Russ Rustic was rowing upstream on a river at a constant rate, thoroughly enjoying the scenic wonder of the area. In fact, he was so preoccupied with the beauty that he did not...
by John Ehrke | Mar 22, 2019 | Problem of the Week
Permutations Everywhere If A = {aij } is a symmetric (i.e., aij = aji) n by n matrix with n odd, and each row of the matrix is a permutation of the integers 1, 2, 3, … , n, prove that the main diagonal of A is also a permutation of 1, 2, 3, … ,...
