Textured Gnarl
by Deborah Benoit
Title
Textured Gnarl
Artist
Deborah Benoit
Medium
Digital Art - Original Art By Deborah Benoit
Description
The word "fractal" often has different connotations for laypeople than mathematicians, where the layperson is more likely to be familiar with fractal art than a mathematical conception. The mathematical concept is difficult to formally define even for mathematicians, but key features can be understood with little mathematical background.
.....
The feature of "self-similarity", for instance, is easily understood by analogy to zooming in with a lens or other device that zooms in on digital images to uncover finer, previously invisible, new structure. If this is done on fractals, however, no new detail appears; nothing changes and the same pattern repeats over and over, or for some fractals, nearly the same pattern reappears over and over. Self-similarity itself is not necessarily counter-intuitive (e.g., people have pondered self-similarity informally such as in the infinite regress in parallel mirrors or the homunculus, the little man inside the head of the little man inside the head...). The difference for fractals is that the pattern reproduced must be detailed.:166; 18
.....
This idea of being detailed relates to another feature that can be understood without mathematical background: Having a fractional or fractal dimension greater than its topological dimension, for instance, refers to how a fractal scales compared to how geometric shapes are usually perceived. A regular line, for instance, is conventionally understood to be 1-dimensional; if such a curve is divided into pieces each 1/3 the length of the original, there are always 3 equal pieces. In contrast, consider the curve in Figure 2. It is also 1-dimensional for the same reason as the ordinary line, but it has, in addition, a fractal dimension greater than 1 because of how its detail can be measured. The fractal curve divided into parts 1/3 the length of the original line becomes 4 pieces rearranged to repeat the original detail, and this unusual relationship is the basis of its fractal dimension.
Uploaded
February 14th, 2013
Statistics
Viewed 1,353 Times - Last Visitor from New York, NY on 04/24/2024 at 11:12 PM
Embed
Share
Sales Sheet
Comments (45)
Nadine and Bob Johnston
A beautiful digital abstract painting, one of my - FAVORITES today - Love the composition, tonal values and colors.
Cheryl McClure
Love it, and your description reminded me of years ago, when my art teacher was talking about repetition of units and how we could make art with that. She would have loved this piece too! f/v
Alec Drake
Hi Deborah, I just love this work..the colours, texture and composition are marvelous...just beautiful! v/f