Blog Archives

The Lonely Acacia Is Rocked By The Wind Of The African Night

March 13, 2014
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The Lonely Acacia Is Rocked By The Wind Of The African Night

If you can walk you can dance. If you can talk you can sing (Zimbabwe Proverb) There are two things in this picture I would like to emphasise. First one is that everything is made using points and lines. The moon is an enormous point, stars are three small nested points and the tree is

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Dora’s Choice

March 9, 2014
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Dora’s Choice

Arithmetic is being able to count up to twenty without taking off your shoes (Mickey Mouse) On her last mission, Dora The Explorer sails down the Amazon river to save her friend Isa The Iguana from Swiper The Fox claws. After some hours of navigation, Dora sees how the river divides into 3 branches and

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Warholing Grace With Clara

March 3, 2014
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Warholing Grace With Clara

Do not believe anything: what artists really do is to hang around all day (Paco de Lucia) Andy Warhol was mathematician. At least, he knew how clustering algorithms work. I am pretty sure of this after doing this experiment.  First of all, let me introduce you to the breathtaking Grace Kelly: In my previous post

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Face To Face With Marilyn Monroe

February 24, 2014
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Face To Face With Marilyn Monroe

Symmetry is what we see at a glance (Blaise Pascal) Ladies and gentlement, the beautiful Marilyn Monroe: There are several image processing packages in R. In this experiment I used biOps, which turns images into 3D matrices. The third dimension is a 3-array corresponding to (r, g, b) color of pixel defined by two other

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The Sound Of Mandelbrot Set

February 11, 2014
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The Sound Of Mandelbrot Set

Music is the pleasure the human soul experiences from counting without being aware that it is counting (Gottfried Leibniz) I like the concept of sonification: translating data into sounds. There is a huge amount of contents in the Internet about this technique and there are several packages in R to help you to sonificate your

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Shoot The Heart With Monte Carlo

January 23, 2014
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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

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

January 20, 2014
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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

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Cellular Automata: The Beauty Of Simplicity

January 14, 2014
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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

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I Need A New Computer To Draw Fractals!

January 11, 2014
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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

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What The Hell Is Pi Doing Here?

January 8, 2014
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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

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