On Wednesday my German class took a fieldtrip to the
Mathematikum, a math museum in the next city over. It was entirely interactive
and a lot of fun, so I decided to post some of the pictures and talk about what we played with.
Here is Lindsey (left) and Hannah (right) on the train to
Gießen. Lindsey is from New Jersey and Hannah is from New Zealand.
Rachel (left), me (center), and our teacher Monika (right)
walking through Gießen.
One thing we learned about was the Mobius strip, which is a
two-dimensional object that exists in three-dimensional space. Simply put, it’s
a band that only has one surface, even though it looks like it has two sides.
If you then cut it down the center, it becomes one big strip that does have two
sides, and if you cut it into thirds, it does this:
Mimi (left) and Lindsey (right) looking for a black bead
that’s one in a million.
Here is a big contraption that balls rolled through and made
disks spin and bells ring. I’m not really sure if it was supposed to
demonstrate something, or if it was just something fun.
Lindsey was struggling to make a hexagon out of the pieces.
Me, stuck on this puzzle after successfully completing two
other ones.
Monika doing puzzles with Lindsey and I.
Finally figured it out!
This is a real-life Klein bottle. There is no inside and no
outside, but it can still hold liquid.
Lindsey and Mimi doing a puzzle.
Cool bubbles.
Giant bubbles!
Mirrors!
This puzzle has you match up the shadow with the triangles,
but the objects are irregular triangles so it’s tricky!
We ended the day with building some shapes.
All in all I had a really fantastic time. It reminded me of
being in Montessori school again and the puzzles were surprisingly stimulating.
If you are ever in Germany near Frankfurt, I highly recommend taking the train
up to Gießen and checking out the Mathematikum!
Weird German thing of the Week
Something that was really interesting to me is that all
bottles—both glass and plastic—can be turned in at grocery stores for money.
Technically how it works is that a deposit for the bottle is added on to the
price of the drink and then when you bring the bottle back, you’re getting your
deposit back. It doesn’t have to be to the same store or anything, and the
prices are still almost always cheaper than in America anyway.
They also had a
similar process at a club we went to. When you bought a drink it was one euro
extra, and then when you brought your cup back you got your euro back. That
seemed particularly strange to me, but I think the process with bottles is
fantastic. It encourages people to recycle, and if they get left on the street,
people will pick them up in order to get the money from them, so it keeps the
streets really trash-free. They also keep them separated by color because they
don’t melt down the glass again unless they break, (which saves energy) and
they re-label and use them again until they do break (I assume). Sometimes you
can see remnants of glue from different-sized labels, particularly on beer
bottles.