fundamental ratios
- There are no big cells.
- There are no small animals in the polar regions.
- Red wines are kept in small barrels for aging.
- Grain dust is explosive but grain is not.
- Larger ships are more efficient.
All of these seemingly unrelated phenomena stem from one single principle: As a three dimensional object gets uniformly larger, its volume grows faster than its surface area.
Going back to the listed phenomena:
- After a certain size threshold, diffusion of molecules across the membrane can no longer handle the amount of traffic needed to sustain the cell metabolism.
- Small animals have more trouble maintaining their body temperature.
- Smaller barrels provide greater contact with the wood, allowing the wine to pick up the tannins faster.
- Grain dust is smaller, and therefore has relatively more surface area that is available for chemical reactions.
- Most of the steel used in the construction of a bulk carrier goes towards building the hull.