Problem of the Week: 2015-04-14

Due Tuesday, April 14 at 5:00 pm

Consider an old-fashioned analog clock, with a second hand.  Prove that it is impossible for the three hands to divide the face of the clock into three exactly equal sectors.

All answers should be clearly explained.  Mathematics is about logic and reasoning, not just about getting a number and putting a box around it.

Submit your answers to the Math/Stat Office, Room 107, Adel Mathematics Building. Please put the due date (e.g. 2015-01-13 for January 13, 2015) on your submission. Contact Jim.Swift@nau.edu with questions.

Winning solutions and a summary of scores will be posted on the POTW bulletin board. This bulletin board is located near the bottom of the big stairway joining the first and second floor of the Adel Math Building.