Interesting Tile-Like Surface!

Here, we have 2 surfaces that nicely merge into one. [br][br]The cross section of this surface and ANY PLANE parallel to z = x or z = -x are cosine waves with amplitude = 0.5 and period = [math]\frac{\pi}{3}[/math]. [br][br]And yes, we DO see LOTS OF SQUARES here. Why?
GeoGebra Augmented Reality (Quick Exploration)

Information: Interesting Tile-Like Surface!