y=mx+b is for losers

Everyone who has mowed a lawn or watched professional baseball is familiar with the patterns a lawnmower makes as it cuts the lawn. Here is one example of what I am talking about:

Or here is an example from Minute Maid park in Houston:

The easiest pattern is a linear one, but this is boring. To prove how much of a nerd I really am, I decided to forgo the y=mx+b motif and employ a non-linear function. This week I mowed my lawn in a sin(x) manner. See:

OK, the picture isn't great and I couldn't fit my whole backyard into one shot. I am also too lazy tonight to screw around with Photoshop and merge them together, but you get the idea. The bucket was meant to be a point of reference. It looks better in real life, though one could easily tell I drew this with a lawnmower. It isn't a perfect sine wave.

I was originally going to do ln(x), but I'd still be mowing. *rim shot* (Get it? If not see: [1])

Next week, maybe a zig zag. First I have to figure out the function for a zig zag. Or I could do f(x)=|sin(x)|. hmmmmm, so many possibilities, so little lawn.

[1] Think asymptote.