Publications by aschinchon

Dora’s Choice

09.03.2014

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 have to choose which one to follow. Before ...

2603 sym R (2229 sym/1 pcs) 8 img

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

13.03.2014

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 a set of straight lines. Points and lines over a simple carte...

1330 sym R (1598 sym/1 pcs) 6 img

Random Love

23.03.2014

Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin (John von Newman) Ms. Positive and Mr. Negative live in a one-dimensional world and are falling in love. But beginnings are not always easy. They have a big problem: none of them like the other’s neighborhood. Ms. Positive only wants to walk ar...

3050 sym R (3507 sym/1 pcs) 10 img

Blurry Fractals

27.03.2014

Beauty is the first test; there is no permanent place in the world for ugly mathematics (G. H. Hardy) Newton basin fractals are the result of iterating Newton’s method to find roots of a polynomial over the complex plane. It maybe sound a bit complicated but is actually quite simple to understand. Those who would like to read some more about Ne...

1347 sym R (1339 sym/1 pcs) 10 img

Do Not Play With Mr. Penney

01.04.2014

Facts do not speak (Henry Poincare) Mr. Penney is my best friend. He is maths teacher and loves playing. Yesterday we were in his office at the university when he suggested me a game: When you toss a coin three times, you can obtain eight different sequences of tails and heads: TTT, TTH, THT, HTT, THH, HTH, HHT and HHH. Using a fair coin, all se...

2105 sym R (919 sym/1 pcs) 10 img

The Collatz Fractal

04.04.2014

It seems to me that the poet has only to perceive that which others do not perceive, to look deeper than others look. And the mathematician must do the same thing (Sofia Kovalevskaya) How beautiful is this fractal! In previous posts I colored plots using module of complex numbers generated after some iterations. In this occasion I have used the e...

1220 sym R (697 sym/1 pcs) 6 img

The Pythagorean Tree Is In Bloom

09.04.2014

There is geometry in the humming of the strings, there is music in the spacing of the spheres (Pythagoras) Spring is here and I will be on holiday next week. I cannot be more happy! It is time to celebrate so I have drawn another fractal. It is called the Pythagorean Tree: Here you have the code. See you soon: library("grid") l=0.15 #Length of t...

705 sym R (1600 sym/1 pcs) 6 img

What If You Dig A Hole Through The Earth?

26.04.2014

It suddenly struck me that that tiny pea, pretty and blue, was the Earth. I put up my thumb and shut one eye, and my thumb blotted out the planet Earth. I didn’t feel like a giant. I felt very, very small (Neil Armstrong) Where would you come out if you dig a hole straight downward from where you live through the center of the Earth? Supposing ...

3132 sym R (2536 sym/1 pcs) 10 img

The mnemoneitoR

08.05.2014

AND I HAVE A GREAT REJOICING DAY (mnemonic rule generated by mnemoneitoR for first 7 digits of Pi according to The Wonderful Wizard Of Oz) Is there some number impossible to memorize? Do not worry, here comes mnemoneitoR: the tool that you was always looking for! With mnemoneitoR you can translate any number into an easy-to-remember phrase insp...

3135 sym R (2144 sym/1 pcs) 6 img

Shakespeare Is More Monkey-Friendly Than Cervantes

19.05.2014

Ford, there is an infinite number of monkeys outside who want to talk to us about this script for Hamlet they have worked out (from Episode 2 of The Hitchhiker’s Guide to the Galaxy by Douglas Adams) Some days ago I was talking with a friend about the infinite monkey theorem which is a funny interpretation of what thinking-in-infinite can produ...

2025 sym R (1611 sym/1 pcs) 6 img