Articles by aschinchon

Beautiful Curves: The Harmonograph

October 12, 2014 | 0 Comments

Each of us has their own mappa mundi (Gala, my indispensable friend) The harmonograph is a mechanism which, by means of several pendulums, draws trajectories that can be analyzed not only from a mathematical point of view but also from an artistic one. In its double pendulum version, one pendulum ...
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The World We Live In #1: Obesity And Cells

October 6, 2014 | 0 Comments

Lesson learned, and the wheels keep turning (The Killers – The world we live in) I discovered this site with a huge amount of data waiting to be analyzed. The first thing I’ve done is this simple graph, where you can see relationship between cellular subscribers and obese people. Bubbles ... [Read more...]

Complex Domain Coloring

September 30, 2014 | 0 Comments

Why don’t you stop doodling and start writing serious posts in your blog? (Cecilia, my beautiful wife) Choose a function, apply it to a set of complex numbers, paint  the result using the HSV technique and be ready to be impressed because images can be absolutely amazing. You only ... [Read more...]

PageRank For SQL Lovers

September 24, 2014 | 0 Comments

If you’re changing the world, you’re working on important things. You’re excited to get up in the morning (Larry Page, CEO and Co-Founder of Google) This is my particular tribute to one of the most important, influential and life-changer R packages I have discovered in the last ... [Read more...]

Space Invaders

September 17, 2014 | 0 Comments

I burned through all of my extra lives in a matter of minutes, and my two least-favorite words appeared on the screen: GAME OVER (Ernest Cline, Ready Player One) Inspired by the book I read this summer and by this previous post, I decided to draw these aliens: Do not ... [Read more...]

Princess Jasmine’s Trick

September 12, 2014 | 0 Comments

I’m history! No, I’m mythology! Nah, I don’t care what I am; I’m free hee! (Genie, when he is released from the magical oil lamp by Aladdin) A long time ago, in a kingdom far away, lived a beautiful princess named Jasmine. There also lived a ... [Read more...]

Looking For Life

September 4, 2014 | 0 Comments

  Machines take me by surprise with great frequency (Alan Turing) Imagine a 8×8 grid in which cells can be alive (black colored) or empty (light gray colored): As with the One-dimensional Cellular Automata, the next state of a cell is a function of the states of the cell’s nearest neighbors (... [Read more...]

The Andrica’s Conjecture

August 27, 2014 | 0 Comments

Things should be as simple as possible, but not simpler (Albert Einstein) Following with conjectures about primes, it is time for Andrica’s conjecture. The great mathematician Leonhard Euler (1707-1783) pointed: “Mathematicians have tried with no success to find some kind of order in the sequence of prime numbers and ... [Read more...]

Summer Summary

August 13, 2014 | 0 Comments

The universe is full of magical things patiently waiting for our wits to grow sharper (Eden Phillpots) I launched this blog 7 months ago and published 30 posts during this time. These are some of my figures until now: more than 15.000 views from 125 countries (below you can find my map of the ... [Read more...]


August 4, 2014 | 0 Comments

Float like a butterfly, sting like a bee (Muhammad Ali) The Butterfly Curve was discovered by Temple H. Fay when he was in Southern University, Mississippi, and rapidly gained the attention of students and mathematicians because of its beautiful simmetry. Small dots of this plot are generated according to parametric ... [Read more...]

Batman’s Choice

July 18, 2014 | 0 Comments

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 ... [Read more...]

The Zebra Of Riemann

July 13, 2014 | 0 Comments

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 ... [Read more...]

Four Simple Turtle Graphs To Play With Kids

July 7, 2014 | 0 Comments

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 ... [Read more...]

How To Approximate Pi With A Short Pencil And A Big Paper

July 1, 2014 | 0 Comments

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 ... [Read more...]

The Goldbach’s Comet

June 22, 2014 | 0 Comments

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 ... [Read more...]

The Ikeda’s Galaxy

June 17, 2014 | 0 Comments

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 ... [Read more...]

The Gilbreath’s Conjecture

June 12, 2014 | 0 Comments

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 ... [Read more...]

The Three Little Pigs

June 8, 2014 | 0 Comments

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 ... [Read more...]


June 2, 2014 | 0 Comments

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: [Read more...]

How Do Cities Feel?

May 27, 2014 | 0 Comments

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 ... [Read more...]
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