#topology

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fromWIRED
1 day ago

Behold the Manifold, the Concept that Changed How Mathematicians View Space

Standing in the middle of a field, we can easily forget that we live on a round planet. We're so small in comparison to the Earth that from our point of view, it looks flat. The world is full of such shapes-ones that look flat to an ant living on them, even though they might have a more complicated global structure. Mathematicians call these shapes manifolds. Introduced by Bernhard Riemann in the mid-19th century, manifolds transformed how mathematicians think about space.
Science
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fromwww.scientificamerican.com
1 week ago

Is the Klein Bottle the Perfect Holiday Gift for Math Fans?

A Mobius strip is a nonorientable band with a single surface and edge, producing unique mathematical, physical, and practical implications such as slower-wearing conveyor belts.
#knot-theory
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