### NUIM MathSoc

Shared publicly -If you want to learn how to code in

**Scilab**(the free alternative to MATLAB) you may have a look at this page that contains several free tutorials.1

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NUIM MathSoc

Attended National University of Ireland Maynooth

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If you want to learn how to code in **Scilab** (the free alternative to MATLAB) you may have a look at this page that contains several free tutorials.

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Why are there just five platonic solids (and what are platonic solids!?)

The solids are the tetrahedron, hexahedron (cube), octahedron, icosahedron and dodecahedron.

The solids are the tetrahedron, hexahedron (cube), octahedron, icosahedron and dodecahedron.

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A sort of sieve of Erastosthenes implemented with rotating annuli. Pretty cute! It'd be nice if it made a bigger deal when one got to highly composite numbers. Try spinning it really fast, then rotating backwards through 0.

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Greg Kuperberg on quantum computing in Slate:

http://www.slate.com/blogs/future_tense/2012/10/22/david_wineland_serge_haroche_even_the_nobel_foundation_press_release_mischaracterized.html

http://www.slate.com/blogs/future_tense/2012/10/22/david_wineland_serge_haroche_even_the_nobel_foundation_press_release_mischaracterized.html

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Ever feel like you aren't making any progress? This video is amazing in its ability to combine a sense of *motion* and a sense of *not going anywhere*. It's by Vladimir Bulatov. It's based on Escher's woodblock *Circle Limit III*:

"Around 1956, Escher explored the concept of representing infinity on a two-dimensional plane. Discussions with Canadian mathematician H.S.M. Coxeter inspired Escher's interest in hyperbolic tessellations, which are regular tilings of the hyperbolic plane. Escher's wood engravings Circle Limit I–IV demonstrate this concept. In 1959, Coxeter published his finding that these works were extraordinarily accurate: "Escher got it absolutely right to the millimeter.""

But it also uses Bulatov's own work on conformal geometry:

http://bulatov.org/math/1001/

The quote is from:

http://en.wikipedia.org/wiki/M._C._Escher#Works

Here's a video of Coxeter talking about Escher's*Circle Limit* series:

Coxeter discusses the math behind Escher's circle limit

#sciencesunday

"Around 1956, Escher explored the concept of representing infinity on a two-dimensional plane. Discussions with Canadian mathematician H.S.M. Coxeter inspired Escher's interest in hyperbolic tessellations, which are regular tilings of the hyperbolic plane. Escher's wood engravings Circle Limit I–IV demonstrate this concept. In 1959, Coxeter published his finding that these works were extraordinarily accurate: "Escher got it absolutely right to the millimeter.""

But it also uses Bulatov's own work on conformal geometry:

http://bulatov.org/math/1001/

The quote is from:

http://en.wikipedia.org/wiki/M._C._Escher#Works

Here's a video of Coxeter talking about Escher's

Coxeter discusses the math behind Escher's circle limit

#sciencesunday

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How do you write a story with no beginning or end? On a Mobius strip!

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Since the writing is on the surface of the thickened Mobius strip, it is equivalent to writing it on an annulus

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In their circles

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Snowflakes are amazingly diverse! The first scientific classification of them goes back to Ukichiro Nakaya. Trained as a nuclear physicist, in 1932. Nakaya was appointed to a professorship in Hokkaido, in the north of Japan. There were no facilities to do nuclear research, so Nakaya turned his attention to snowflakes! Besides studying natural snow, he created artificial snowflakes, and figured out which kinds form in which conditions. In 1954 he summarized his work in a book, *Snow Crystals: Natural and Artificial*. This is his classification.

For more on the history of snowflakes, and amazing photos of them, see Kenneth Libbrecht's page:

http://www.its.caltech.edu/~atomic/snowcrystals/earlyobs/earlyobs.htm

For more on the history of snowflakes, and amazing photos of them, see Kenneth Libbrecht's page:

http://www.its.caltech.edu/~atomic/snowcrystals/earlyobs/earlyobs.htm

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In 1964, S. I. Khelmenik wrote a paper in the Russian journal

1011001.1101010101000000101001100111101011000010101...

if we work in base –1+i. This was rediscovered by Walter F. Penney in 1965, later by other people, and popularized by Donald Knuth in vol. 2 of

http://en.wikipedia.org/wiki/Complex_base_systems

+Anton Sherwood has a great page of mathematical images, from which I took this picture:

http://bendwavy.org/doodle/

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Cool podcast!

New Monday, New Relatively Prime. This one is all about Paul Erdos. Please spread it around!

Paul Erdos was one of the greatest mathematicians of the 20th Century, the one that other mathematicians measure their distance from, and beyond that one of the most interesting. His highly collaborative, highly nomadic life brought him in touch with hundreds if not thousands of other mathematicians, and every single on of them has their own Erdos story to tell. In order to find out more about the man, Samuel Hansen spoke to three of his collaborators and the man who runs the Erdos Number Project.

http://relprime.com/erdos/

Paul Erdos was one of the greatest mathematicians of the 20th Century, the one that other mathematicians measure their distance from, and beyond that one of the most interesting. His highly collaborative, highly nomadic life brought him in touch with hundreds if not thousands of other mathematicians, and every single on of them has their own Erdos story to tell. In order to find out more about the man, Samuel Hansen spoke to three of his collaborators and the man who runs the Erdos Number Project.

http://relprime.com/erdos/

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In their circles

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- National University of Ireland Maynooth2012