Question 79
An ant crawls in plane as follows: it initially crawls 1 cm in either direction. Then, after each step, it turns $60^\circ$ to the left or to the right and crawls 1 cm in the new direction.
Is it possible for it to return to its starting point in
(a) 2008 steps?
(b) 2009 steps?
Is it possible for it to return to its starting point in
(a) 2008 steps?
(b) 2009 steps?