The "temperature" of a curve is defined as
where is the length of and is the length of the perimeter of the convex hull. The temperature of a curve is 0 only if the curve is a straight line, and increases as the curve becomes more "wiggly."
More things to try:
Weisstein, Eric W. "Temperature." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Temperature.html
is defined as
is the length of 
and 
is the length of the perimeter
of the convex hull. The temperature of a curve is
0 only if the curve is a straight line, and increases as the curve becomes more "wiggly."
