Further to our post yesterday regarding how evolution shapes the geometries of life, I thought you might like a simple explanation of Kleiber’s Law – Deskarati
The fraction three quarters has a particular interest to biologists because of its link to the research of Max Kleiber and metabolic rates in animals. This video features Thomas Woolley from the University of Oxford.
Update – Thanks to @gameboygenius for pointing out the following small mistake. “I think where you said they expected MR ∝ r^(2/3) you actually meant to say MR ∝ m^(2/3). If you take the r/V/A relations and solve for A, you get A ∝ V^(2/3). Mass is proportional to volume, so roughly A ∝ m^(2/3). If we then assume MR is proportional to area, the final assumption would be MR ∝ m^(2/3).”