**“Mathematistan” by Martin Kuppe**This detailed map of the landscape of mathematics was designed by

**Martin Kuppe** as part of his recent YouTube video

*Mathematics: Measuring times laziness squared*. As well as being humorous, the picture also illustrates the relationships between the major areas of mathematics, such as algebra, geometry, topology, and analysis. The picture is very detailed and is worth viewing at high resolution.

The video, which you can see at

http://goo.gl/3Rg8jd, is well worth twenty minutes of your time. It gives an overview of mathematics in a way that should be comprehensible to an intelligent general audience. The sense of humour in the videos reminded me of the writing of Douglas Adams. Something I found especially remarkable is that the video manages to explain the gist of what algebraic topology is in a few minutes, without getting technical. (Algebraic topology aims to understand topological structures by associating algebraic objects to them.)

The map contains various visual and verbal jokes about mathematics; some of these are explained in the video, but others are not. I liked the names of the plains: have a look for the

*Complex Plain*, the

*Projective Plain* and the

*xy-Plain*. The buildings in

*Statistigrad* look like normal distributions and histograms. The

*fields* in the picture are actual fields, but this is a reference to the algebraic notion of a field, which roughly speaking is a structure in which one can do addition, subtraction, multiplication and division. (This is not directly related to the use of the term

*field* in physics.)

As an algebraist, I particularly enjoyed the

*Califate of Al-Gebra*, with the

*Al* separated as if it were an Arabic article. This is appropriate because the English word

*algebra* comes from the Arabic term

*al-jebr*, meaning “reunion of broken parts”. In case you're wondering,

*califate* is an acceptable variant spelling of

*caliphate*.

I was very surprised that Martin Kuppe/Zogg doesn't have a much bigger following on social media, given the high quality of his output. You can follow him as

*ZoggFromBetelgeuse* on YouTube, or as

*ZoggTheAlien* on Twitter. One of his recent tweets contains links to various versions of

*Mathematistan*, including this picture.

(Found via

+Mrinal Singh.)

#mathematics #scienceeveryday