Benoit Mandlebrot was the first to discover fractal equations.
What does > mean?
a fractal
The Sierpinski triangle is a fractal (named after Waclaw Sierpinski).The base state for this fractal is a single triangle. Pick one of the vertices on the triangle and define that vertex as "pointing up" (this helps when describing the fractal without pictures).Upon each iteration, take each triangle which is pointing up and inscribe an inverted triangle inside of it. The new triangle should have one vertex at the midpoint of each of the sides of the triangle it is in. This will effectively divide the original triangle into four equally sized triangles, three of which are oriented the same way as the original (they point up), and one of which is inverted (points down).See the related links section for a graphical view of this fractal, as well as detail about the math behind it.
An Apollonian gasket is a mathematical term for a fractal generated from triples of circles, where each circle is tangent to the other two.
No, there is no relation between the two.
a event that occurs over and over
Yes - as you "zoom in" on the sides of the snowflake, the same pattern occurs infinitely.
You can never draw a fractal because it is an infinitely replicating pattern. Unlike the decimal representation of a number, for example 1/3 where you can put a dot over the 3 to indicate the fact that the digit recurs infinitely many times, there is no short-cut available for fractals. To draw an approximation of a fractal, you start with some pattern in mind. You then replace some parts of the original pattern by similar but smaller versions of the pattern. Repeat again and again until the end of time - and beyond!
The cast of Pi Day - 2008 includes: Ben Bilodeau as Fractal Jessica Burylo as Fractal Michael Fenske as Fractal Joel Jahaye as Fractal Mike Kovac as Oswald Scott Mainwood as Fractal Leoni Ostermann as Fractal Justin Sproule as Roderick Michelle Van Campen as Fractal
Examples of fractals in everyday life would be for example a fern. A fern is a type of leaf with a certain pattern. This pattern is the fractal because as you zoom in on the fern the pattern remains the same. It is the same thing over and over again no matter how far you look into it. This happens because of the fractal dimension.
A hollow circle is not a fractal.
Fractal Records was created in 1994.
The Fractal Prince was created in 2012.
The population of Fractal Analytics is 250.
Fractal Analytics was created in 2000.
The Fractal Prince has 448 pages.