The scaling of a system can be mathematically worked out based on its size
The four in the scaling equation comes from the fractal and network properties of the system
Fractals add an additional apparent dimension to the system, effectively making it four dimensional mathematically
In our last episode, you heard all about the relationship between a mammal's weight and its metabolic rate, and how this holds true regardless of the size of the mammal. You heard other examples of so-called scaling laws, and how these laws seem to be guided by the number four.
In this episode, we're joined again by Geoffrey West, Shannan Distinguished Professor and Former President of the Santa Fe Institute. Geoffrey is going to explain why when we double the size of an animal, we only increase its metabolic rate by three quarters. He's going to explain why the number four is behind these curious laws, and he's going to reveal how you and I are fractals.