Watch your steps while walking on tiles. Sometimes you step on the dividing lines, sometimes you miss them.
The applet demonstrates how it happens (at random chosen parameters).
Can you follow the pattern and guess, after several number of steps, what will happen next:
how many consecutive steppings on lines and how many consecutive missing will follow in this picture. Next applet allows to set manually all the parameters so you can easier manage the discovery process. To check your guess click the horizontal scrollbar to see the continuation of the pattern.