Added a readme with some interesting mathematical information.

README.md

@@ -0,0 +1,80 @@
+# Explore the beauty of chaos in math!
+
+## What are Fractals?
+***Fractals*** are *absolutely* fascinating and mersmerizing, aren't they? But what exactly are fractals? <br>
+They are a class of geometrical figures which have an extremely interesting property: they are **self-similar**. <br>
+This means that however infinitely one zooms into the image, one only views the geometrical figure that was started with! <br>
+
+### Origin of Fractals
+The term **Fractal** is derived from the Latin Word *fractus*. It means something that is broken. Fractals were named so in 1975 by  Benoit Mandelbrot. <br>
+He described that each portion of a fractal is basically a replication of the original.
+
+***The Sierpinski triangle*** <br>
+One of the most popular examples of Fractals is the Sierpinski triangle. <br>
+It is created by connecting the mid points of all the three sides of a triangle. These line segments give the smaller triangle, and this goes on. <br>
+This creates a visualization of *infinite triangles within a single triangle*. It was described in 1915 by Waclaw Sierpinski. <br>
+
+<img src="https://4.bp.blogspot.com/-y3dPNjAt2MQ/XMAN1VxwiiI/AAAAAAAAFc8/NfWQro-w2Z4sLAWGi3Uc1DiIy1O1wI1jwCLcBGAs/s1600/Fraktal-6.gif" width="351" height="330">
+
+***The Koch Curve***<br>
+The Koch Curve begins with a straight line. It is divided into three line segments of equal lengths. <br>
+The line in the middle is replaced by the top part of a triangle. The sides of the triangle are the same length as the line in the center that was replaced. <br> 
+A similar and related fractal is the Koch Snowflake. It begins with an equilateral triangle. It is also known as the Koch Star. <br>
+At every scale of zooming in, the shape seems to be exactly the same as the one we began with. <br>
+<img src="https://upload.wikimedia.org/wikipedia/commons/2/25/Kochsim2.gif" width="330" height="170">
+
+***The Mandelbrot Fractal*** <br>
+This is one of the most facsinating and intriguing fractals. It was named after Benoit Mandelbrot, a pioneer of fractal geometry. <br>
+It is based on a very simple *complex quadratic recurrence* equation: **Z<sub>n+1</sub> = Z<sub>n</sub><sup>2</sup> + C** <br>
+It gives a set of points on the complex plane.<br>
+
+<img src="https://www.a2wd.com/content/2014/08/optimised.gif" width="369" height="260"> 
+
+## What is the Golden Ratio?
+The Golden Ratio is sometimes also known as the **divine proportion**. It is denoted by *phi* <br>
+An interesting recurrence equation which relates to this is **a<sub>n</sub><sup>2</sup> = a<sub>n-1</sub> +1** <br>
+With *a<sub>1</sub>=1* one deduces that *lim<sub>n->∞</sub> a<sub>n</sub> = phi* <br>
+Its value approximately equal to 1.618 but it is infact, an *irrational number*. <br>
+
+
+### Fractals in Nature
+
+<img src="https://media.wired.com/photos/5b337109b63f39453cf64722/master/w_660,h_492,c_limit/fractal_12a.jpg" width="333" height="309">
+
+<img src="https://i.pinimg.com/originals/38/0e/97/380e97865083f64e970761ee83c80d74.jpg" width="390" height="309">
+
+<img src="https://images.theconversation.com/files/163337/original/image-20170330-4592-1n4ji0f.jpg?ixlib=rb-1.1.0&q=45&auto=format&w=1200&h=1200.0&fit=crop" width="337" height="309">
+
+<img src="https://fc07.deviantart.net/fs24/f/2007/311/5/6/Natural_Fractal___Close_up_by_WindyPower.jpg" width="390" height="309">
+
+
+
+
+***Fractals are beautiful. And there is so much more to be explored about the beauty of Math. <br>
+Till then try listening to this!***
+https://www.youtube.com/watch?v=wJ5XVOLncds
+
+## Demo
+https://rachitiitr.github.io/chaos-in-javascript/
+
+## Tutorial
+https://www.youtube.com/watch?v=oeM_PexPRAg
+
+## More  to read and References
+* https://web.cs.wpi.edu/~matt/courses/cs563/talks/cbyrd/pres1.html
+* https://sk33lz.com/create/fractals/history-fractals
+* http://jwilson.coe.uga.edu/EMAT6680/Parsons/MVP6690/Essay1/sierpinski.html
+* https://www.csee.umbc.edu/courses/undergraduate/201/fall06/lectures/recursion/fractals.shtml
+* https://mathworld.wolfram.com/MandelbrotSet.html
+* https://mathworld.wolfram.com/GoldenRatio.html 
+
+## Image Reference
+* https://4.bp.blogspot.com/-y3dPNjAt2MQ/XMAN1VxwiiI/AAAAAAAAFc8/NfWQro-w2Z4sLAWGi3Uc1DiIy1O1wI1jwCLcBGAs/s1600/Fraktal-6.gif
+* https://upload.wikimedia.org/wikipedia/commons/2/25/Kochsim2.gif
+* https://www.a2wd.com/content/2014/08/optimised.gif
+* https://media.wired.com/photos/5b337109b63f39453cf64722/master/w_660,h_492,c_limit/fractal_12a.jpg
+* https://i.pinimg.com/originals/38/0e/97/380e97865083f64e970761ee83c80d74.jpg
+* https://images.theconversation.com/files/163337/original/image-20170330-4592-1n4ji0f.jpg?ixlib=rb-1.1.0&q=45&auto=format&w=1200&h=1200.0&fit=crop
+* https://fc07.deviantart.net/fs24/f/2007/311/5/6/Natural_Fractal___Close_up_by_WindyPower.jpg
+
+