Has anyone seen Einstein’s Pen?

People who know me know that I have an unhealthy obsession with pens and pencils.  And, when it comes to pens, I love fountain pens.  There is just something about them, classic and traditional … a high quality writing instrument in the age of keyboards and touchscreens.

So it should be no surprise to anyone that I decided to begin a quest to discover what kind of fountain pen Albert Einstein used during his glory years of scientific discovery.  The pen of choice for most people in the late 19th and early 20th Centuries was the fountain pen.  Today, a fountain pen is seen more as a luxury than a necessity, but back then, the fountain pen was the workhorse of anyone using a pen.  So, when I decided to find out more about this pen, I first visited the Fountain Pen Network (FPN).  This is a bulletin board dedicated to talking about all things fountain pens … it is one of my favorite sites!

My search began when I learned that the FPN has an entire discussion on the topic of Einstein’s pen!  The discussion revolves around this picture of Einstein becoming a U.S. citizen in 1940.  Notice the pen in his jacket pocket …

After much discussion on the site, most people came to the conclusion that it is either a Pelikan 100 N or a 100 C.  (To read the entire debate, click here.)

So, I guess that’s it.  The easiest quest ever, right?  Not so fast.  This photo is from 1940, and despite it being Einstein’s pen, it is very unlikely the pen that Einstein used to develop his most famous theories.  And, let’s face it.  It would be so much cooler to see that one.

So … as I continued to read the threads, I found my next clue.  Someone posted that Einstein gave away his most famous pen, the pen that he used to develop the Theory of Relativity, to Paul Ehrenfest in 1921.  Now we’re getting somewhere.  Included in the post is a link to an article about this pen.  (It is written in Dutch and required a Google translation for me to understand it!  See the translation here.)  According to the imperfect translation, Ehrenfest states “This pen has been used for years and by Einstein at least the period from 1912 to 1921 – so all his designs and calculations on the general theory of relativity and gravitation in this period were written with this pen. He gave me this in 1921.”   Even better than the article was a picture of the pen!  So, here it is:

According to the FPN, it is a Waterman Taper-cap.  Have I mentioned how much I love the FPN?!?

So, finally, my quest ends.  Right?  Not really.  This is certainly the pen that he used but, look at the picture.  It’s so small.  I just wasn’t happy with it.  I really needed to see this pen close up.  So I had no choice but to continue my quest.

Finally, after hours of searching, I came across a video tour of the Boerhaave Museum in Leiden where the pen is currently located.  As I watched the video, understanding none of it (it is in Dutch after all), I saw it.  There it was.  The docent pulled it out of the vault and placed it on the table.  I was blown away.  Such a simple and unassuming pen.  This is the pen that helped Einstein to redefine the Universe as we know it.  It was an amazing moment.  Below is a screenshot of the pen from the video.  Enjoy!

Well, there you have it, Einstein’s pen … or at least one of them … at least the one that he used to write his most important work.  What’s next, you ask?  I wonder what pencils he liked to use.

Need Help with Parallel Parking?

Are you 16 and learning how to drive?  Are you afraid of the torturous task of parallel parking?  Fear no more!  Now, Simon Blackburn, mathematics professor from the University of London has investigated the task of parallel parking.  And, thanks to him, you can now have a more complete understanding of the ‘joy’ of parallel parking, hopefully helping you to pass the test.

Read the paper here:  Perfect Parking

You are all very welcome!

Creative Wallpaper?

Saturday Jan. 15th 2011 will mark the 161st birthday of Sofia Kovalevskaya.  While many of you may not recognize the name, Sofia is considered the greatest female mathematician, pre-20th Century.  And, like many of my students, you may be wondering how one “grows” into such a great mathematician.  It turns out that, in Sofia’s case, it takes some good interior design.

Like the “dream child” of any parent, Sofia had an early interest in math (thanks in part to her uncle.)  However, it wasn’t until the age of 11 that this interest really took off.  It was at this age that her family decided to decorate the walls of her bedroom with the lecture notes from a course in differential and integral calculus that her father had taken years earlier.  By staring at the wallpaper and getting lost in the beautiful equations, Sofia was able to make connections between it and the things that her uncle had told her.  The wallpaper offered her a portal into the world of calculus!

According to her autobiography, “The meaning of these concepts I naturally could not yet grasp, but they acted on my imagination, instilling in me a reverence for mathematics as an exalted and mysterious science which opens up to its initiates a new world of wonders, inaccessible to ordinary mortals.

Moral of the story:  teenagers everywhere, tear down those ridiculous “Glee” posters and put up those math notes!  You’ll be glad you did!

I LOVE THE S.A.T.

Take a couple of deep breaths … if you are still reading this, then the good news is that this statement hasn’t caused a heart attack.  So, let me clarify what I love about the test.  Simply put, it is those gorgeous math questions.  Trust me, rarely do you see such beautiful questions anywhere else.

Like most people in love, however, there is something about “my significant other” that I wish I could change.  Put simply, I hate the time constraints.  How can anyone explore the depth and beauty of these problems if they are only given a half-hour to enjoy them?  You are forced to view these problems as if you are waiting in a cafeteria line, quickly moving from soup, to salad, to the main course, to the drink machine … what a shame!  I remember the first time I took the test.  I only finished about half of the problems because there was so much I wanted to explore that I just ran out of time.  So sad!

So, if I hate the time constraints but love the problems, then how do I make sense of it all? Simple.  I use the questions in the classroom.  Lucky students, I know!  But, all kidding aside, by using these problems in the classroom, I have the time to show them the beauty that I see.  And, truth be told, most of my students start to see things in a similar light.  In fact, it is not uncommon for me to use a single problem as a starting point for an entire class lecture.  Some of the problems are just that good!

For those of you who will be “enjoying” the SAT in the near future, I have a great link for you to check out.  The College Board (the entity who writes the SAT and therefore controls your fate) has a SAT Problem of the Day website for you to enjoy.  While it alternates between math and reading questions (sorry about those reading questions), it is nevertheless good practice.  In addition to the Problem of the Day, you can also find some useful links on the left side of the screen, including Practice and Review in math, reading and writing as well as a full practice test.

Best of luck.

111,111,111 times 111,111,111 = ?

Any answers?  Any guesses?  Want a hint?  The answer is a Palindromic number – a number that is the same written forwards or backwards.  (For example, 12321  and 1432341 are Palindromic numbers.)

So, try it and see what you get.  Enjoy!