What's the noun for gnarliness? Here's the word you're looking for.
gnarl
A knot in wood; a large or hard knot, or a protuberance with twisted grain, on a tree.
Something resembling a knot in wood, such as in stone or limbs.
(mathematics) The average value of the magnitude squared of the curl of a vector field over a continuous path that is tangent to the vector field at every point. In mathematical notation, gnarl is represented by the lowercase Greek letter ΞΎ.