A fractal is "a rough or fragmented geometric
shape that can be split into parts, each of which is
(at least approximately) a reduced-size copy of the
whole," a property called self-similarity. Roots of
mathematically rigorous treatment of fractals can
be traced back to functions studied by Karl
Weierstrass, Georg Cantor and Felix Hausdorff in
studying functions that were analytic but
not differentiable; however, the term fractal was
coined by Benoît Mandelbrot in 1975 and was
derived from the Latin fractus meaning "broken" or
"fractured." A mathematical fractal is based on
an equation that undergoes iteration, a form
of feedback based on recursion.
Water chrystals in mercury
Lorenz attractor Fractal pentagram drawn with
a vectoriteration program
Photograph of a romanesco broccoli,
showing a naturally occurring fractal
EOR: Viscous fingering
Iterations in a project context may refer to the
technique of developing and delivering
incremental components of business functionality,
product development or process design. This is
most often associated with agile software
development, but could potentially be any
material. A single iteration results in one or more
bite-sized but complete packages of project work
that can perform some tangible business function.
Multiple iterations recurse to create a fully
integrated product. This is often compared with
the waterfall model approach.
The unmodified "waterfall model".
Progress flows from the top to the bottom,
like a waterfall.
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