Thursday, March 24

Mathematically enabled arachnid?

We two-leggers (humans) invent all kinds of explanations for natural phenomena. But some of our eight-legger buddies skip the math and just do their thing. A good example is this cobweb that I felt I should photograph before annihilating it in order to maintain a nice clean house (the web had been abandoned, so no spider was made homeless by my crass act). Its shape is intriguing; it resembles an inverted elliptic paraboloid, also known as a paraboloid of revolution.

The spider probably just calls it a dining room. Either way, it’s a fascinating shape. If it were two-dimensional, it resembles an inverted catenary arch, the shape a chain makes when suspended from its two ends and allowed to hang free. It turns out that a catenary is only superficially similar to a paraboloid, but you sure could have fooled me.

I wish the spider web were saddle-shaped, because that’s called a hyperbolic paraboloid. I love that term. Think the shape of a Pringles™ potato chip. Just eating them boosts your mathematical abilities I’m sure, and for sure your daily intake of sodium.

Picture credits: The cobweb is mine, the other two are from Wikimedia Commons

5 comments:

Daffy said...

....and sodium is CRUCIAL to the workings of the brain; so, if you fed spiders pringles....

Agneta and David said...

I just got home from work. My does not want to compute. It is too much overload. I can't take it.

Agneta and David said...

See I even forgot to type in brain.

Tom Hurley said...

Daffy: Don't you live near a bunch of water that is full of sodium? I mean, ON water that is full of sodium. Your brain must be very mathematically inclined.

David: You might have left part of the brain at work?

Daffy said...

...hello Tom...yes; on the water; on the mud at the moment..tide is OUT. I used to have a brain; my 13 y.o. son HUMILIATES me at chinese checkers; we won't even discuss chess....