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From: "Jim Henley" <jlhenley at erols.com>
Subject: Aw Hell (Giants)
Date: Fri, 15 Oct 1999 23:29:38 -0400
I was talking giants and the Square-Cube Law last night with my Amber (RPG) group and offered the oh-so-clever observation that one could get around it by living, giant-sized in the water, oh yes I did. But one of my pals said the real problem with the SCL is in the lungs - you pass a point where the surface area of your enlarged lungs can't absorb enough oxygen for all the cells in your enlarged body.
Well darn! But I wonder; we didn't get into the math - I mean, Bill's from art school - but can anyone put a number on the size where lung limitations come into play?
One data point would be the size of whales. They don't seem to be working on the evolutionary edge of lung capacity, since they can stay submerged for long periods of time. (That is, they seem to have enough O2 marginal capacity to be able to hold their breath for long periods.) If they were too close to the break point of the square cube law, I don't think that would be easy for them.
Our lungs are a fairly small fraction of our volume. Anyone know what fraction of a whale's volume their lungs are? Or an elephants? If we have these few data points, I can fit the power law for you. (I am pretty sure that the scale isn't linear. Our legs, for example, are proportionally thicker than an insects, as dictated by the SC law.)
Kieran Mullen
Kieran Mullen email: kieran at ou.edu
Dept. of Physics and Astronomy phone: (405) 325-3961
The University of Oklahoma FAX: (405) 325-7557
Norman, OK 73019, USA http://www.nhn.ou.edu/~kieran/