Saturday, June 28, 2008

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.

6 comments:

Ψ*Ψ said...

If you are feeling extra nerdy, you're free to mow my lawn as well ;)
(Actually, my lawnmower is broken...so I can't.)

the indefatigable mjenks said...

What is all that green stuff? Is that...grass? Wow. That's a luxury I'm not afforded down here except in one part of the yard.

Wait, no, I'm lying. Crab grass is still grass, right?

I like pie said...

But it looks so much more like a cosine

i like pie said...

Oh, wait....I see it now. My computer was twenty feet to the left. Sorry.

Chillindamos said...

Ahh, the linear equation! Parallel lines don't do it for me either. A geologist would appreciate those anticlines and synclines. I hope you mow next time in quadratics: y=ax^2+bx+c. Varying the "a" coefficient with each swath in reverse direction should provide a new level of nerdy pattern! I enjoy reading your blog, great to see another brewer dork out there!

Neerali said...

Hi
very interesting blog....keep it going...