Following the link which is supposed to explain another thing, why it is more resistant to lateral forces, it contains an explanation:
> The parameter a is the amplitude of the sine wave. If a = 0, we have a flat wave, i.e. a straight wall, as so the length of this segment is 2π = 6.2832. If a = 1, the integral is 7.6404. So a section of wall is 22% longer, but uses 50% less material per unit length as a wall two bricks thick.
"as a wall two bricks thick". Hmmm. Even bigger savings as a wall three bricks thick.