The *Mathematikum* in Giessen, which was opened in 2002, describes itself as “the world’s first mathematical science center.”

But all you loyal readers of my posts on the German city of Bonn might recall that the *Arithmeum* in that city is three years older, having been opened in 1999.

For us non-mathematicians, this might seem like a contradiction, since both of these are bright, modern, friendly, hands-on institutions that aim to make mathematics at least a bit comprehensible to the rest of us. Nonetheless, the *Mathematikum* in Gießen and the *Arithmeum* in Bonn are two very different places, dealing with two quite different (but overlapping) branches of mathematics.

The *Arithmeum* belongs to the Research Institute for **Discrete** Mathematics of the University of Bonn — *discrete*, not *discreet*. After visiting both the *Arithmeum* and the *Mathematikum* I found myself getting into quite a muddle trying to work out the difference between **discrete** mathematics and its opposite, which is not *indiscreet* but rather *continuous*. Discrete mathematics deals with things that are countable and have distinct, separate values, rather than values that vary continuously over a range.

As a result, the *Arithmeum* presents the history of calculating over the past six thousand years, up to and including the design of current-day microprocessors on chips.

The *Mathematikum*, on the other hand, deals with continuous phenomena like symmetry, geometry, topology and the mathematics of music — using hands-on exhibits and experiments that are meant to be accessible to visitors “of all ages and educational backgrounds”. Visitors are invited to “solve puzzles, build bridges, stand in a giant soap bubble, see themselves infinite times in a mirror and much more.”

In principle, the exhibits are intended for people “of all ages”, but in 2009 an additional *“Mini-Mathematikum”* was inaugurated. This is “a separate area created especially for children from 4 to 8 years. The experiments in Mini-Mathematikum follow Mathematikum’s main idea and are adjusted to smaller children in content and size.”

More changes came about in 2020 as a result of the coronavirus pandemic. In some phases, the *Mathematikum* (like nearly everything else) was closed. As of July 2021 it is open again for a limited number of visitors, who are asked to book a time slot online in advance. Medical face masks are required for everyone aged six or over.

Their website also says: “We removed some experiments because it is hard to comply with the hygiene precautions while using them (e.g. exhibits that you need get very close to with your face). This unfortunately also concerns some favorite experiments. To compensate for that, we re-activated attractive experiments from our collection. You can still enjoy almost 200 exhibits and also look forward to rarely shown, exciting exhibits from past special exhibitions.”

The *Mathematikum* is big enough to be worth the price of admission (€ 9 for adults, € 6 for those who get a reduction and € 20 for a family, as of 2021), but not so big as to be totally intimidating. In fact there is nothing intimidating about it, because the whole place is open, airy and hands-on, and is run by a friendly, service-oriented young staff.

All the exhibits and activities are labeled in German and English, and they also have a free English-language folder called “hands-on mathematics” at the entrance.

The *Mathematikum* is located at *Liebigstrasse 8* in Gießen,

one block from the main railway station.

*My photos in this post are from 2004. I revised the text in 2021.*

See more posts on Gießen, Germany.

See also: The Arithmeum in Bonn, Germany.

Fascinating. It seems there are more mathematics museums in Germany than there are anywhere else. I wonder why. Does it point merely to some indefinable national affection for maths, or to an imaginative awareness of the potential value of museums in fostering a solid education in all subjects?

httpss://www.mathcom.wiki/museums/

Thanks for the link. The two museums I have compared here are both initiatives of individual professors.

I am spectacularly bad with numbers, but I would make a comparison for discrete and continuous as like Analog (discrete) and digital (continuous). Or maybe it is the other way around.

In any case both places sound like great places to take children (or anyone interested in learning)

Yes, I would say the other way around, because the bits and bites (digital) can be counted, but in analog scales you can just move smoothly up and down the scale. But apparently there is no definition that is rigorous enough to satisfy mathematicians.

I was looking at it from the perspective of the person asking “What time is it?” Before we had digital clocks, we never said – it is 10:42. We just said it is about quarter to 11. So digital makes it easier to be precise (and perhaps precision is not really required – do we really need to know that it is exactly 10:42 if we are not launching rockets or something). But you are right, analog moves up and down the scale. I think I am an analog person

Precise times are often illusory, in any case. I can’t even get the oven to agree with the microwave, much less with my watch or computer.

Given my track record in Maths, I fear entering such places😎😀

Don’t worry. It’s a very welcoming place, and gives a whole new introduction to mathematics.

I think this type of continuous mathematics sounds more appealing than the discrete type (thanks for explaining the difference btw). Counting things is dull but concepts like symmetry and topology are much more creative and interesting to me 🙂

I think I would like to wander through them both.

Yes, I found both very interesting.

” … the mathematics of music …” – that alone sounds (did I make a pun?) worthy of a visit. Your excellent post makes the museum inviting and intriguing. Thank you for sharing.

Another good place for the mathematics (and physics) of music is the House of Music in Vienna, Austria.

https://operasandcycling.com/house-of-music-in-vienna/