October 3, 2017

Problem of the Week

Tuesday, October 3, 2017

You can spin the cube one quarter of a turn around the dotted line (see picture below) in order to put the face marked "A" into position "B". How many different lines can be drawn through the center of the cube so that by spinning the cube less than one complete turn around these axes, you can make the cube align with itself? (Hint: some axes require a quarter turn for alignment, others require a half turn, and still others require one third of a turn.)

Winners of axes of symmetry challenge