It's not the math, it's the PURPOSE
This article claims a new logarithmic 'law' of nature.
Most pointy things grow into a two-sided curve, which tends to have the same formula. But the formula is nowhere near reliable, so it's not really a formula.
What's reliable is the method behind the formula. It's simple. Grow one side faster than the other. More or less the same principle as refraction of light, or curving of a column of soldiers. When one side of a column or beam is moving out faster than the other, the beam steadily curves.
PURPOSE enters the picture when you consider the many forms of growth that
don't curve. A plant stem grows straight unless it needs to curve to restore vertical. A bone grows straight. Most hair grows straight. Even a zit or wart grows straight.
Nature knows which outgrowths need to curve toward a hook, so they can be used as pullers or rippers. When an outgrowth needs to be hooked, Nature grows the
appropriate part of the curve faster. With human fingernails, the hook is 'hollow', so the middle section grows faster than the outer edges to create a curve in an open arc.
Test case: Curly hair vs straight hair vs wavy hair. Tight curls grow unevenly just like claws. Was this for a pulling or grabbing purpose? Velcro?
Later note: I hadn't thought about this before... The best hands-on demo of refraction is steering the flow of a garden hose or kitchen faucet. Put your thumb on one side, restrict the flow. The water steers toward the restricted side. Also: the fingernail version explains why my big toenails were curving
upward when my shoes were too short. The middle of the nail was bumping into the shoe and getting pushed back, so its growth was slow or negative. The outer edges weren't bumping, so their growth was normal.
Labels: Constants and Variables, Experiential education, Grand Blueprint