klein bottle

Klein bottle
Introducing the Klein bottle

A Klein bottle can't hold any liquid because it doesn't have an inside. How do you construct this strange thing and why would you want to?

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Definitely half full

Our image of the week shows one of our favourite topological shapes.

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Knitting by numbers
Lucinda Mathews visualises tricky surfaces
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Beyond Measure
Conversations across science and art
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Still life
Mathematics illustrates the forefront of visualising science
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Editorial
  • Plus looks different! - Redesigning the website

  • Beauty is truth, truth beauty - The aesthetics of mathematics

  • Readers' corner - Rolling with money revisited: The Pyramid Puzzle

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Imaging maths - Inside the Klein bottle
In the first of a new series 'Imaging Maths', Plus takes an illustrated tour of an extraordinary geometric construction: the Klein bottle.
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In space, do all roads lead to home?
Is the Universe finite, with an edge, or infinite, with no edges? Or is it even stranger: finite but with no edges? It sounds far-fetched but the mathematical theory of topology makes it possible, and nobody yet knows the truth. Janna Levin tells us more.
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