Monday, January 11, 2016

Mobius Highway


Solution:  The blue car and red car will crash into each other.  They are in the same lane going in opposite directions.  The pink car is safely in the other lane.

One way to see this is to cut the two lanes apart.  You end up with a single strip of paper, but this time it is twisted twice, so it is no longer a Mobius strip.  (It has 2 sides rather than 1.)  You can see from the photo that the red and blue cars are on one side of the strip, heading toward each other.