As everyone knows by now, Fractals are typically self-similar patterns, where self-similar means
they are "the same from near as from far"-- Fractals may
be exactly the same at every scale, or as illustrated in Figure 1, they may be nearly the same at different
scales. The
definition of fractal goes beyond self-similarity per se to exclude
trivial self-similarity and include the idea of a detailed pattern
repeating itself.
As mathematical equations, fractals are usually nowhere differentiable, which means that they cannot be measured in traditional ways. An infinite fractal curve can be perceived of as winding through space differently from an ordinary line, still being a 1-dimensional line yet having a fractal dimension indicating it also resembles a surface. A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension and may fall between the integers. (wiki)
Jack (John) OShea was my art teacher the year Fractals became envogue. we were very hip.
Perspective and mysterious things HERE
Oh, The Mathematics. Sigh
http://marysbeagooddogblog.blogspot.com/2010/08/knowing-pearson-genesis-according-to.html
As mathematical equations, fractals are usually nowhere differentiable, which means that they cannot be measured in traditional ways. An infinite fractal curve can be perceived of as winding through space differently from an ordinary line, still being a 1-dimensional line yet having a fractal dimension indicating it also resembles a surface. A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension and may fall between the integers. (wiki)
Jack (John) OShea was my art teacher the year Fractals became envogue. we were very hip.
Perspective and mysterious things HERE
Oh, The Mathematics. Sigh
http://marysbeagooddogblog.blogspot.com/2010/08/knowing-pearson-genesis-according-to.html
On Pondering the twenty fields of study i loved but did not pursue.
Math Beauty |
The Helix moves:
No comments:
Post a Comment