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Peter Luschny
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Peter Luschny
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Theorem: Every generalized pentagonal number c ≥ 2 can be written as c = 2a+b where a, b are smaller generalized pentagonal numbers.
Theorem by Andreas Enge, William Hart and Fredrik Johansson.
See also https://oeis.org/A001318
fredrikj.net / blog /. Additional results. August 26, 2016. The preprint Short addition sequences for theta functions (arXiv:1608.06810) by Andreas Enge, Bill Hart and myself is now available. We prove some nice new theorems about integer sequences of a very simple kind, namely successive values ...
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Peter Luschny
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Picture below: Penrose tiling by PrzemekMajewski, CC BY-SA. The maths behind ‘impossible’ never-repeating patterns Many scientists didn't believe that crystals made up of never-repeating patterns could exist. http://scroll.in/article/814085/the-maths-behind-impossible-never-repeating-patterns via +Chandan Dalawat 
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You should watch combinatorics videos!

Igor Pak writes: "I selected over 400 videos of lectures and seminars in Combinatorics, which I thought might be of interest to a general audience. I tried to cover a large number of areas both within Combinatorics and related fields. The collection includes multiple lectures by Noga Alon, Persi Diaconis, Gil Kalai, Don Knuth, László Lovász, János Pach, Vic Reiner, Paul Seymour, Richard Stanley, Terry Tao, Xavier Viennot, Avi Wigderson, Doron Zeilberger, and many many others."
http://www.math.ucla.edu/~pak/lectures/Math-Videos/comb-videos.htm
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Oh wow! That's a lot of cool stuff, +Igor Pak! Thanks for making me notice, +Peter Luschny​!​
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Joseph Brodsky

A POSTCARD FROM RIO

Come to Rio, oh come to Rio,
grow a beard and change your bio.
Here the rich get richer, the poor get poorer,
here each old man is a Sturmbannführer.

Come to Rio, oh come to Rio,
there is no other city with such a brio.
There are phones made by Siemens, there even Jews
drive around like crazy in VW’s.

Come to Rio, oh come to Rio,
here Urania rules, and no trace of Clio.
Buildings ape Corbusier, a beehive-cum-waffle;
but this time you won’t blame it on the Luftwaffe.

Come to Rio, oh come to Rio,
here the junta indulges in onomatopoeia
on the subject of freedom, while birds in flight
use of course both wings, but both wings are right.

Come to Rio, oh come to Rio,
Here every bird sings “O sole mio”
So do fish wen they’re caught, so our northern geese
do in winter here, in Portuguese.

Come to Rio, oh come to Rio.
If you come in duo, you will leave as trio.
If you come alone, you will leave with zero
in your thoughts as worthy as a cruzeiro.
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The poem is certainly not one of his best and it is very time-bound. Brodsky wrote it on 1 October 1979. It reflects a bit the largely unknown atmosphere in Rio after WW2, which does not exist anymore.
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Ken Ono is an award-winning mathematician who specializes in number theory. As a kid, his parents pushed him hard to be the best, and it almost drove him to ruin. He talked to SPIEGEL about young prodigies, suicide in Japanese culture and divine afflatus.
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This wretched, ignorant, dangerous part-time clown and full time sociopath is going to be our next president.
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BWV 588

Bach's BWV 588 is thought to have been written before 1714 and it's called a Canzona. It's in D minor and played here, on the organ, by Dorien Schouten.

While musical tastes around him rejuvenated, Bach kept revisiting elements from his musical youth (and earlier) throughout his life. If only by persisting in his consistently brilliant counterpoint, he exhibited a certain archaism. But such genius, of course, did not arise from nowhere. On the contrary, it had to mature thoroughly. For a glimpse of that process, we are fortunate in being able to consult some surviving early works. They are often style exercises, such as this Canzona, and demonstrate Bach’s chameleonic spirit.

More here (watch/listen (~7mins.) and read): http://goo.gl/6NBkAB

In addition to the Performance, look out for the Interview tab (Dutch w/English subtitles) as well as the Inside Story, quoted here, and Cast and Crew. For some reason they've chosen not to give them separately addressable URLs.

Related post: https://goo.gl/iUCeb2

Image from video.
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Peter Luschny
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You should watch combinatorics videos!

Igor Pak writes: "I selected over 400 videos of lectures and seminars in Combinatorics, which I thought might be of interest to a general audience. I tried to cover a large number of areas both within Combinatorics and related fields. The collection includes multiple lectures by Noga Alon, Persi Diaconis, Gil Kalai, Don Knuth, László Lovász, János Pach, Vic Reiner, Paul Seymour, Richard Stanley, Terry Tao, Xavier Viennot, Avi Wigderson, Doron Zeilberger, and many many others."
http://www.math.ucla.edu/~pak/lectures/Math-Videos/comb-videos.htm
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I recently published a 6-part blog series on Linux.com, about +Ubuntu on +Windows 10. You'll find a number of commands, scripts, and code you can try compiling and running, as well as some performance benchmarks, tips, and tricks. Enjoy!
I hope you'll enjoy a shiny new 6-part blog series I recently published at Linux.com. The first article is a bit of back story, perhaps a behind-the-scenes look at the motivations, timelines, and some of the work performed b...
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The IS in Europe is more closely linked than previously thought. Research of the "New York Times" gives a more accurate picture how the terrorist militia in Europe is organized.

The US newspaper published on Thursday the results of their analysis of thousands of pages of documents of German and other European safety authorities.
A jailhouse interview with a German man who joined the Islamic State reveals the workings of a unit whose lieutenants are empowered to plan attacks around the world.
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Trump: "If we have nuclear weapons, why do we not use them?"
Trump asked a foreign policy advisor why the U.S. can't use nuclear weapons, MSNBC's Joe Scarborough says, citing an unnamed source.
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Whilst I think Trump is a dangerous narcissist, I think I would need to see the actual transcript of his questioning before I could pass judgement on it. It seems like a sensible question to ask what specific reasons should he be aware of for NOT using nukes. I feel fairly confident he expressed a lot of ignorance, and I don't want to see him with his finger on "the button". But I am not so sure this was as bad as is being made out in the press.
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São Paulo - Rio de Janeiro - München - Berlin - Strasbourg