Fractal Geometry
How would you like to take a class called geometry of chaos? Probably doesn’t sound too thrilling. A man named Benoit Mandelbrot is responsible for creating the geometry of chaos. The geometry of chaos is considered to be the fourth-dimension. It is considered to be the world in which we live in, a world where there is constant change based on feedback, an open system where everything is related to everything else. It is now recognized as the true geometry of nature. The geometric system the can describe the simple shapes of the world (Lauwerier). Fractal geometry is a structure that provided a new key for the study of non-linear processes (Lauwerier). Benoit Mandelbrot explained that lines have a single dimension, plane figures have two dimensions and that we live in a three dimensional spatial world (Fractals Useful Beauty). In a paper published in 1967, Mandelbrot investigated the idea of measuring the length of a coastline. Mandelbrot explained that the shape of a coastline defies conventional Euclidean geometry and that rather than having a natural number dimension, it has a “fractional dimension.” The coastline is an example of a self-similar shape, which is a shape that repeats itself over and over on different scales (Fractals).

Benoit Mandelbrot was born in Warsaw in 1924 to a Lithuanian Jewish family and grew up there until they moved to Paris in 1936 (Fractals). Benoit had never received formal education and was never taught the alphabets; to this day he still doesn’t know them from memory. Benoit’s mind was a visual geometric mind, he had a tremendous gift in math in which he would take the problems from his work and translate them mentally into pictures. Benoit’s incredible mind took him all the way to the United State in 1958 to pursue his own way of doing math (Barnsley). Mandelbrot was offered a job at IBM’s research center in New York and was allowed free reign to pursue his mathematical interests as he wished. They proved to...

...FRACTALGEOMETRY
INTRODUCTION
Fractals is a new branch of mathematics and art. Most physical systems of nature and many human artifacts are not regular geometric shapes of the standard geometry derived from Euclid (i.e, Euclidian geometry: comprising of lines, planes, rectangular volumes, arcs, cylinders, spheres, etc.) Fractalgeometry offers almost unlimited ways of describing, measuring and...

...FractalGeometry
"FractalGeometry is not just a chapter of mathematics, but one that helps
Everyman to see the same old world differently". - Benoit Mandelbrot
The world of mathematics usually tends to be thought of as abstract. Complex and
imaginary numbers, real numbers, logarithms, functions, some tangible and others
imperceivable. But these abstract numbers, simply symbols that conjure an image,
a quantity, in our mind, and...

...Fractals
Introduction
Fractals are geometric patterns that when repeated at increasingly smaller scales they produce irregular shapes and surfaces. All fractals have a feature of ‘self-similarity’. A set is self-similar if it can be broken into arbitrary small pieces, each of which is a small copy of the entire set, for fractals the pattern reproduced must be detailed (Nuhfer 2006). Self-similarity may be demonstrated as exact...

...Fractals have been one of the tools used in Euclidean geometry to explain the abnormal shapes in nature. Fractals are able to explain the irregular shapes that are a far cry from the normal circle or square. It is an object of symmetry that uses components to create the picture of a self-similar entity.
Fractals first appeared on the scene in 1918 due to the mathematician, Felix Hausdroff. A Poland mathematician by the name of Beniot...

...“Bringing it all Together: The Geometry of Golf”
Golf in Geometry?? No Way!
Geometry In The Game of Golf
For hundreds of years, golf has been an extremely popular and growing sport all around the world. Looking where golf is now, it is growing rapidly from the young to the elder population. The first round of gold was first played in the 15th century off the coast of Scotland, but it did not start to be played until around 1755. The...

...Introduction
The birth of every technology is the result of the quest for automation of some form of human work. This has led to many inventions that have made life easier for us. Fractal Robot is a science that promises to revolutionize technology in a way that has never been witnessed before.
The principle behind Fractal Robots is very simple. You take some cubic bricks made of metals and plastics, motorize them, put some electronics inside them and...

...FRACTAL TIME (ESSAY)
Introduction
In his book, first published in 2009, 'Fractal Time: The Secret of 2012 and a New World Age’, Gregg Braden gave wonderful clues into what we would expect to occur in our world and universe by the year 2012. Though years have passed since the first publication of the book, the information in the book remains relevant to us today. Gregg labours to elaborate how it is possible to read the past in order to discover what the...

...Geometry in everyday life
Geometry was thoroughly organized in about 300bc, when the Greek mathematician, Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books, called Elements.
Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry, which is to follow the lines reasoning. Geometry is one of the...

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