Blog Archives

Shoot The Heart With Monte Carlo

January 23, 2014
By
Shoot The Heart With Monte Carlo

The heart has its reasons which reason knows not (Blaise Pascal) You only need two functions to draw a heart mathematically. The upper part is generated by (1-(|x|-1)2)1/2 and the lower one by acos(1-|x|)-PI. Here is how this heart is: Whats the area of this heart? It’s easy: integrating heart.up(x)-heart.dw(x) between -2 and 2 and

Read more »

Why I Think Atletico De Madrid Will Win 2013/14 Spanish Liga Of Football

January 20, 2014
By
Why I Think Atletico De Madrid Will Win 2013/14 Spanish Liga Of Football

Prediction is difficult, especially of the future (Mark Twain) Let me start with two important premises. First of all, I am not into football so I do not support any team. Second, this post is just an opinion based on mathematics but football, as all of you know, is not an exact science. Football is

Read more »

Cellular Automata: The Beauty Of Simplicity

January 14, 2014
By
Cellular Automata: The Beauty Of Simplicity

I am strangely attracted to you (Cole Porter) Imagine a linear grid that extends to the left and right. The grid consists of cells that may be only one of these two states: On or Off. At each time step, the next state of a cell is computed as a function of its left and

Read more »

I Need A New Computer To Draw Fractals!

January 11, 2014
By
I Need A New Computer To Draw Fractals!

Computer Science is no more about computers than astronomy is about telescopes (E. W. Dijkstra) Some days ago I published a post about how to build fractals with R using Multiple Reduction Copt Machine (MRCM) algorithm. Is that case I used a feature of the grid package that allows you to locate objects easily into

Read more »

What The Hell Is Pi Doing Here?

January 8, 2014
By
What The Hell Is Pi Doing Here?

Nothing in Nature is random … A thing appears random only through the incompleteness of our knowledge (Benedict Spinoza) This is one of my favorite mathematical mysteries. In 1991 David Boll was trying to confirm that the neck of the Mandelbrot Set is 0 in thickness. Neck is located at -0.75+0i (where two biggest circles

Read more »

Building Affine Transformation Fractals With R

January 5, 2014
By
Building Affine Transformation Fractals With R

Clouds are not spheres, mountains are not cones, coastlines are not circles and bark is not smooth, nor does lightning travel in a straight line (Benoit Maldelbrot) Fractals are beautiful, hypnotics, mysterious. Cantor set has as many points as the real number line but has zero measure. After 100 steps, the Koch curve created from

Read more »