An interest part of the below mentioned presentation.
Visualizing , the pattern of infinity and our constantly exploding universe......on and on....
The pattern of Infinity and the geometry of the images formed with Mandelbrot set of equation
Mr. Mandel brot tells---How he imagined a mathematical formulae into picture and could visualize the pattern of small star like pattern , exploding into infinite patterns...
Oh... Wow super ecstacy. Mind blowing experience, when we watch this pattern. evolving and evolving
Similar patterns are visualised, when you sit in meditation. Our mind goes on and on.. like this pattern emerging from this equation of Mandelbrot...
This equation will change how you see the world (the logistic map)
https://youtu.be/56gzV0od6DU
The Mandelbrot Set - The only video you need to see!
fractal pattern
"Mandelbrot Set" is a tribute to both the fractal itself and to its discoverer Benoit Mandelbrot.
-The Feigenbaum Constant (4.669) - Numberphile
Each of these crowns consists of similar "seahorse tails"; their number
increases with powers of 2, a typical phenomenon in the environment of
satellites. The unique path to the spiral center passes the satellite
from the groove of the cardioid to the top of the "antenna" on the
"head".
The Mandelbrot set is the set of values of c in the complex plane for which the orbit of the critical point z = 0 under iteration of the quadratic map
remains bounded.[13] Thus, a complex number c is a member of the Mandelbrot set if, when starting with z0 = 0 and applying the iteration repeatedly, the absolute value of zn remains bounded for all n > 0.
For example, for c = 1, the sequence is 0, 1, 2, 5, 26, ..., which tends to infinity, so 1 is not an element of the Mandelbrot set. On the other hand, for c = −1, the sequence is 0, −1, 0, −1, 0, ..., which is bounded, so −1 does belong to the set.
The Mandelbrot set can also be defined as the connectedness locus of a family of polynomials.