Mathematicians like space. Like in vector space, metric space, topological space. In fact, any set with structure can be called a space. In "simple" Euclidean geometry there are all sorts of problems of how to fill a space with as much objects as physically possible. How many spheres of a certain radius can we store in a cube? And so forth.  The Japanese people excel in many areas: architecture, technology. This combined with the special conditions ( a lack of =space= ) in Tokyo lead to extraordinary inventions. The following =must= have been the solution to an optimization problem of some kind. Like maximize the number of hotelrooms ( they must have started with rooms in mind ) given a number of constraint. Or simply maximize profits because I bet this 'cheap' hotel is making more profits than their five star competitors. Thanks to optimization and applied mathematics. No matter how much they love space mathematicians can minimize it for you.
I am Dutch, so somewhat exposed to overpopulation and too many people on limited ( office ) space. I can comfortably stay in any hotel though, no matter how smallish the room. Not even the German Uboat movie 'Das Boot' gave me the same feeling of claustrophobia.
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Mathematics: is it the fabric of MEST?
This is my voyage
My continuous mission
To uncover hidden structures
To create new theorems and proofs
To boldly go where no man has gone before
(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)
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