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Moduli spaces: Exploring the torus space

This article describes how you can describe the entire universe of Riemann tori (surfaces that look like dooughnuts) in one go.

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Moduli spaces: What type of Riemann tori are there?

A Riemann torus is a surface that looks like a doughnut. This articles explored how you might tell Riemann tori apart.

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Bach and the musical torus

In a previous article we found a Möbius strip in Bach's music. This time it's a doughnut shape.

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Playing billiards on doughnuts

The paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.

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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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Content about “
torus
”

Moduli spaces: Exploring the torus space

Moduli spaces: What type of Riemann tori are there?

Bach and the musical torus

Playing billiards on doughnuts

Imaging maths - Inside the Klein bottle

Content about “ torus ”

Moduli spaces: Exploring the torus space

Moduli spaces: What type of Riemann tori are there?

Bach and the musical torus

Playing billiards on doughnuts

Imaging maths - Inside the Klein bottle

Content about “
torus
”