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Frank Nestel
Works at Schaeffler Group
Attended Friedrich-Alexander-University, Erlangen-Nuremberg
2,912 followers|378,011 views


Frank Nestel

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For someone (and everyone else :-) ) While I haven't played it, it is fairly obvious, that this program really lets you practice orbital mechanics.
This one is especially for +Fraser Cain
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Frank Nestel

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In early Google+ times I predicted, that it would rather hurt LinkedIn and Xing than Facebook. This prediction was stimulated by the amount of serious content shared on G+ then.

To be honest it looks like I was wrong. At least LinkedIn seemingly was flourishing lately.

Now the content in my G+ stream has lost a bit of its initial seriousness.

Funnily and a bit surprising todays G+ suggestions of people I might want to circle are very much dominated by business type suggestions, i.e consultants that have worked for colleagues or colleagues of consultants that once worked for our team.

Could it be is was only early, the race is not over and LinkedIn not yet out of danger??
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Frank Nestel

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Think I had shared that bot earlier, but these outdoor pictures are more fascinating.

Germans of my age might feel slightly reminded of the Blechbüchsenarmee (
This Norwegian Engineer Is Creating Some Creepy Transformer-Like Robots…

Click below to see these crazy robots in action...
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Frank Nestel

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Once more a piece of maths packed in a little game.

The game is about removing crossings from a graph, i.e. move the nodes/vertices in places, so that the edges do not cross.

Based on the idea, you can remove crossings easily by adding multiple layers or levels where edges can jump over each other, the removal of all crossings without adding layers is called graph planarization.

The mathematical research of graph planarizations is a bit like cryptography in that there are lots of secrets. The best methods and algorithms are probably not freely published. This is due to the fact, that removing (or at least minimizing) the number of crossings in a graph has direct applications. Remember that electrical wires cannot really cross (without insulation)? The applications of planarizations are in simplifying printed circuits or chip (and especially microprocessor) designs.

So in case, you have an idea for an algorithm to solve these, just get in touch with me ;-) Just kidding.
Do you like random graphs? Did you like #2048? You may like this

And you can skip ahead to levels (I looked at level 100... o.O)

EDIT: Took me eight minutes to do level 7.
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It's fun, indeed!
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Frank Nestel

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Limeseum Ruffenhofen

Schöne Ausstellung, schöner Spaziergang im Park. Rom ganz nah in Franken und das für die ganze Familie.
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Ui, danke für den Tipp, kommt auf die Ideenliste.
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Future of Ingress?

I've made up some numbers. Mostly educated guess from various observations. It seems that NIA is massively damaging its own community now.

- abandoned accounts boom,
- iitc double accounts boom.
- spoofers and cheaters drop a bit, hacking Ingress has become boring.
- percentage of common players is dropping
- streettime percentage of hyper active really addicted players grows

If summarized this idea in a Google docs spreadsheet.

What do you think?
Frank Nestel's profile photoVolodymyr K's profile photoStefano Conter's profile photoKarl Hungus's profile photo
Ahhh, OK, I may have read those 2 rows backwards. Frankly, I think the game has been out for long enough that anyone into such a game will have already started playing, so there will be fewer that join in the future. With the mad bans, the population will decrease over time, and that will make it less enjoyable at some point for the other players, and it will go the way of a MMO that didn't quite make it and gets shut down some years after starting up.
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Frank Nestel

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Actually it is a sad story, that these days everything has to be measured in terms of money to be valued and appreciated.

But, well, if we have to, then we have to. This is a calculation for a single tree. And that is a number!
Save trees!
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So gesehen, +Alec Cale, aber es soll ja auch Männer geben, die nicht so auf PS stehen.
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Frank Nestel

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Erkenntnis heute morgen:

Social Bookmarking ist nicht wirklich eine Erfindung des Internet.

Wer schon einmal ein Standardwerk aus dem Regal eines Lesesaals gezogen hat, wird wissen, dass viele solcher Bücher quasi magisch bevorzugt an wichtigen (=häufig verwendeten) Seiten aufgehen.
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Frank Nestel

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Where math entertainment touches math research.

I must say, I hadn't heart about the correspondence between Mersenne primes and perfect numbers. Two shortcut explanations:
1. A perfect number is a sum of it's divisors.
2. A Mersenne prime p is a prime of the form 2^q-1.
This and more below!
Mersenne primes and perfect numbers

A Mersenne prime is a prime number of the form 2^n – 1, and a perfect number is a number N whose factors (other than N itself) add up to N. For example, 2^3 – 1 = 7 is a Mersenne prime, and 28 is a perfect number, because its factors add up to 28: 1 + 2 + 4 + 7 + 14 = 28.

In order for a number of the form 2^n – 1 to be prime, the number n itself must be prime. The reason for this is that if k is a factor of n, it can be shown that 2^k – 1 is a factor of 2^n – 1. For example, since 15 = 3x5, it follows that 2^{15} – 1 = 32767 cannot be prime, because it has 2^3 – 1 = 7 as a factor (as well as 2^5 – 1 = 31).

On the other hand, if p is a prime number, it may or may not be true that 2^p – 1 is prime. For example, if p = 7, then 2^7 – 1 = 127 is a Mersenne prime, but if p = 11, then 2^{11} – 1 = 2047 = 23x89 is not a prime number.

It turns out that Mersenne primes and perfect numbers are closely related to each other. For example, if p = 3, the Mersenne prime M = 7 = 2^3 – 1 corresponds to a perfect number N, in this case 28. The perfect number N can be obtained from the original prime number p using the formula N = 2^{p–1}x(2^p–1), or from the Mersenne prime M using the formula N = M(M+1)/2. 

The method above of producing perfect numbers from Mersenne primes was known to Euclid, who discussed it in volume 7 of his 13 volume treatise, the Elements, around 300 BC. However, it was not until the 18th century that Leonhard Euler proved that every even perfect number can be obtained from a Mersenne prime in this way.

The first four perfect numbers, 6, 28, 496 and 8128, which correspond to the Mersenne primes 3, 7, 31 and 127, were known to early Greek mathematics. The fourth perfect number, 33550336, which corresponds to the Mersenne prime 8191 = 2^{13} – 1, was discovered in the 15th century. 

Currently, 48 Mersenne primes are known, the largest of which is 2^{57885161} – 1. This number, which is also the largest known prime number, is 17425170 digits long. As a consequence of this, there are 48 known even perfect numbers, the largest of which is 34850340 digits long.

It is not known whether there are infinitely many Mersenne primes, or whether there are infinitely many perfect numbers. More fundamentally, it is not known whether any odd perfect numbers exist, although it is known that if an odd perfect number does exist, it must have at least 1500 digits. The mathematician J.J. Sylvester wrote in 1888 that
... a prolonged meditation on the subject has satisfied me that the existence of any one such [odd perfect number] — its escape, so to say, from the complex web of conditions which hem it in on all sides — would be little short of a miracle.

Relevant links
Mersenne primes on the On-Line Encyclopedia of Integer Sequences ( and Wikipedia (

Perfect numbers on the On-Line Encyclopedia of Integer Sequences ( and Wikipedia (

The Great Internet Mersenne Prime Search (

Wikipedia entry on J.J. Sylvester (

A post by me about J.J. Sylvester (

+James Grime of Numberphile on perfect numbers: 8128 and Perfect Numbers - Numberphile

Last, but not least, some stand-up comedy from UK comedian Dave Gorman about perfect numbers: Maths - Dave Gorman Stand Up

#mathematics #sciencesunday
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In their circles
297 people
Have them in circles
2,912 people
I'd rather think twice.
  • Schaeffler Group
Some games are bigger. Science, maths, robotics, thinking all welcome.
de: Vater, Ex-Mathematiker, Spielerfinder, Brettspieler, Geocacher, irgendwie Internet Nerd.

en: Father, former mathematician, board game inventor and player, geocacher, internet nerd.

Please do *not invite me to Google+ games!*

Ingress Troll :-)=
Bragging rights
Great @ understatement ;-)
  • Friedrich-Alexander-University, Erlangen-Nuremberg
Frank Nestel's +1's are the things they like, agree with, or want to recommend.
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reviewed 5 months ago
Wenn meine Knochen mich wieder ärgern, werden sie hier zuverlässig zur Räson gebracht.
Public - a year ago
reviewed a year ago
Kuchen und Tee kann ich empfehlen und das kleine Museum hintendran auch.
Food: ExcellentDecor: Very goodService: Excellent
Public - a year ago
reviewed a year ago
Na, ja, Atmosphäre und Umgebung sind wirklich ein Problem. Aber das Essen auf Rutschen ist für junge und junggebliebene Kinder immer wieder eine nette Unterhaltung und die Qualität und Konzeption des Essens (lokal und sehr viel Bio), sowie dessen Zubereitung sind sehr gut und meist auch ein wenig aus dem Normalen heraus. Wir gehen da gerne und öfter mal hin.
Food: ExcellentDecor: Poor to fairService: Very good
Public - a year ago
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7 reviews
Haben Fisch, Lamm und Schwein getestet, sowie Salate, Suppen und Desserts. Alle Gerichte waren nicht nur lecker, sondern verfügten auch über eine besondere Note/Feinheit. Der Service ist nett und aufmerksam. Die rustikale Einrichtung wäre jetzt nicht so ganz mein Ding, aber bei den anderen Vorzügen egal.
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Ich hatte ein leckeres Rumpsteak mit Kartoffelwinkeln, alle anderen waren auch rundum zufrieden. Was will man sonst?
Quality: ExcellentAppeal: Very goodService: Very good
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Eines der Lieblingsrestaurants meines Sohnes und er weiß, dass die Eltern sich nicht wehren. Running Sushi macht Spaß und ist lecker.
Food: ExcellentDecor: Very goodService: Very good
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