Publications by aschinchon
How Do Cities Feel?
If you are lost and feel alone, circumnavigate the globe (For You, Coldplay) You can not consider yourself a R-blogger until you do an analysis of Twitter using twitteR package. Everybody knows it. So here I go. Inspired by the fabulous work of Jonathan Harris I decided to compare human emotions of people living (or twittering in this case) in di...
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floweR
It is the time you have wasted for your rose that makes your rose so important (Antoine de Saint-Exupéry, The Little Prince) Yesterday I found a package called circular and I could not suppress to do this: Make your own floweRs: require(circular) for (i in 1:8) { rose.diag(circular(runif(5000, 0, 2*pi)), bins = (25-round(abs(ji...
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The Three Little Pigs
Jesse, you asked me if I was in the meth business or the money business. Neither. I’m in the empire business (Walter White in Breaking Bad) The game of pig has simple rules but complex strategies. It was described for the first time in 1945 by a magician called John Scarne. Playing the pig game is easy: each turn, a player repeatedly rolls a...
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The Gilbreath’s Conjecture
317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way (G.H. Hardy) In 1958, the mathematician and magician Norman L. Gilbreath presented a disconcerting hypothesis conceived in the back of a napkin. Gilbreath wrote first prime ...
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The Ikeda’s Galaxy
Chaos is the score upon which reality is written (Henry Miller) Nonlinear dynamical systems are an enormous seam of amazing images. The Ikeda Map is an example of strange attractor which represents the movement of particles under the rules of certain differential equations. I have drawn the trajectories followed by of 200 particles under the 2D-I...
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The Goldbach’s Comet
Every even integer greater than 2 can be expressed as the sum of two primes (Christian Goldbach, 1742) The point cloud known as Goldbach’s Comet represents the amount of different ways (y axis) an even number (x axis) can be writen as sum of two prime numbers. In this plot, x axis is between 2 and 50.000 (stars are just ornaments): Mathemati...
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How To Approximate Pi With A Short Pencil And A Big Paper
Experiment, be curious: though interfering friends may frown, get furious at each attempt to hold you down (Tony Bennett, Experiment) Instructions: Take a pencil and measure it Take a piece of paper and draw parallel lines on it (you can use the pencil, of course); separation between lines should double the length of the pencil Toss the penci...
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Four Simple Turtle Graphs To Play With Kids
Technology is just a tool: in terms of getting the kids working together and motivating them, the teacher is the most important (Bill Gates) Some days ago I read this article in R-bloggers and I discovered the TurtleGraphics package. I knew about turtle graphics long time ago and I was thinking of writing a post about them, doing some draw on my ...
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The Zebra Of Riemann
Mathematics is the art of giving the same name to different things (Henri Poincare) Many surveys among experts point that demonstration of the Riemann Hypothesis is the most important pending mathematical issue in this world. This hypothesis is related to Riemann zeta function, which is supossed to be zero only for those complex whose real pa...
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Batman’s Choice
A hero can be anyone, even a man doing something as simple and reassuring as putting a coat on a young boy’s shoulders to let him know the world hadn’t ended (Batman in The Dark Knight Rises) Joker has captured Batman and keeps him into a dark and cold dungeon of Gotham City. Showing his sadistic character, Joker proposes the following game...
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