Gnarl

Today i want to show a type of fractal called Gnarl.

Noun
Singular - gnarl
Plural - gnarls

1. a knot in wood; a large or hard knot, or a protuberance with twisted grain, on a tree.
2. something resembling a knot in wood, such as in stone or limbs.

Verb
Infinitive - to gnarl
Third person singular - gnarls
Simple past - gnarled
Past participle - gnarled
Present participle - gnarling

1. (transitive) to knot or twist something
2. (intransitive) to snarl or growl; to gnar

but in mathematics, and also in Fractals it means:-
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 ξ.

Or to put it simply, twisted, knotted, deformed.

Resources:-
http://en.wiktionary.org/wiki/gnarl http://www.thefreedictionary.com/gnarl

In FractalArt the knots look like eyes sometimes and can make for some very funny pictures as you will see in my next post.
Enjoy my Fractal World of Gnarls :-)