SESSION 1: Biology and Geometry Collide! Size has been one of the most popular scientific essay biology in monster movies, especially those from my favorite era, the 1950s. 2, has a volume of 8. The conceptual foundations of scaling relationships lie in geometry.
Take any object–a sphere, a cube, a humanoid shape. Such an object will have a number of geometric properties of which length, area, and volume are of the most immediate relevance. In each example, linear dimensions double, but area increases by four times. Let’s say that you increase the length by a factor of two. Areas are proportional to length squared, but the new length is twice the old, so the new area is proportional to the square of twice the old length: i. As “size” changes, volumes change faster than areas, and areas change faster than linear dimensions.
The biological significance of these geometric facts lies in the observations that related aspects of an organism’s biology often depend on different geometric aspects. The same dependence on different aspects of geometry holds for functional relationships. Let’s start small and work our way up. He is lost to family and friends while fending off the household cat and must make his own way in a world grown monstrously large. He forages food from crumbs and drinks from puddles of condensation. In one famous scene, he defends himself against a house spider by using an abandoned sewing needle, which he has to struggle to lift.