Publications by aschinchon
butteRfly
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 equations of the Butterfly Cu...
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Summer Summary
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 empire) 72 views per day Top referres: r-bloggers (3...
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The Andrica’s Conjecture
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 today we have reasons to...
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Looking For Life
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 (the only neighbors that we consider are the eight cell...
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Princess Jasmine’s Trick
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 very rich and evil wizard named Jafar, who was in love with the princess. In order to married with...
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Space Invaders
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 miss to check this indispensable document to choose your favorite colors: re...
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PageRank For SQL Lovers
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 times: sqldf package. Because of my job, transforming data thro...
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Complex Domain Coloring
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 need ggplot2 package and your imagination. This is what hap...
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The World We Live In #1: Obesity And Cells
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 are countries and its size depends on the population: ...
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Beautiful Curves: The Harmonograph
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 moves a pencil and the other one moves a platform ...
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