Fractals burst into the open in early 1970s. Their breathtaking beauty captivated many a layman and a professional alike. Striking fractal images can often be obtained with very elementary means. However, ... As with the Hilbert curve, it's possible to formally prove that thus obtained curves converge to a limit curve.
www.cut-the-knot.org/do_you_know/dimension.shtml
Fractal - Wikipedia, the free encyclopedia
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. Root...
en.wikipedia.org/wiki/Fractal
Many popular fractal curves are a good example to illustrate the modus operandi of L systems. This is so because of their very recurring nature. Also, they demonstrate how a very compact set of data can generate large and detailed structures.
coco.ccu.uniovi.es/malva/sketchbook/lssketchbook/exampl... coco.ccu.uniovi.es/malva/sketchbook/lssketchbook/examples/fractal/fractal.htm
Pages in category "Fractal curves" ... This category concerns curves that are fractal in some way, typically by being non-differentiable everywhere, or by having a period-doubling symmetry. ... Wikimedia Commons has media related to: Fractal curves...
en.wikipedia.org/wiki/Category:Fractal_curves en.wikipedia.org/wiki/Category:Fractal_curves
This page contains a java applet that implements the Dragon Curve or Jurassic Park Fractal and a few mathematical problems related to it ... How does the Dragon Curve fractal applet work? The Dragon Curve fractal is a pretty interesting one. You can imagine a long strip of paper that gets folded in half many times until...
www.arcytech.org/java/fractals/jurasic.shtml www.arcytech.org/java/fractals/jurasic.shtml
This page contains a java applet that implements the Koch Curve fractal and a few mathematical problems related to it ... The Koch Curve fractal is certainly one of the most popular and well known fractals. Here we include a Java applet that lets you grow the fractal from iteration to iteration. Since I assume that you...
www.arcytech.org/java/fractals/koch.shtml www.arcytech.org/java/fractals/koch.shtml
Do it infinitely many times and you have a fractal. ... Making fractals; Sierpinski Triangle; Using Java; Math questions; Sierpinski Meets Pascal; Jurassic Park Fractal; Using JAVA; It grows complex; Real first iteration; ... Fractal Properties; Self-similarity; Fractional dimension; Formation by iteration...
math.rice.edu/~lanius/frac/koch.html
The Jurassic Park Fractal ... I'm going to show you how to make this fractal by paper-folding. So Cool! For the Jurassic Park Fractal we are going to start with a narrow strip of paper, let's say approximately 1" by 11". Construction paper works really well because it has a little more stiffness.
math.rice.edu/~lanius/frac/jurra.html
The same idea of replacement rules leads to many interesting fractal, and often self-similar, curves. For example, the substitution leads to the Koch snowflake when applied to an initial equilateral triangle, like this (the first three stages and the sixth are shown):
www.geom.uiuc.edu/docs/reference/CRC-formulas/node36.ht... www.geom.uiuc.edu/docs/reference/CRC-formulas/node36.html
Allegria fractal and mathematically inspired jewelry. ... Number patterns, curves, and topology, J. Britton. Includes sections on the golden ratio, conics, Moiré patterns, Reuleaux triangles, spirograph curves, fractals, and flexagons.
www.ics.uci.edu/~eppstein/junkyard/fractal.html www.ics.uci.edu/~eppstein/junkyard/fractal.html
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