Training Trains Hint 1

training-trains-hint

Find the smallest loop which reverses the direction of the locomotive.

Show that the numbers of E and W curved track must be even (because root 2 is not rational). Do the same for 4 opposite pairs of curved track (N & S, NE & SW, NW & SE). Show that this is impossible.

PS. Don’t be fooled, the diagram above is not correct.

Back to Training Trains Problem