Day 58 of 365

February 27

f(x)
Mathematics

Topology and the Coffee Cup

Topology studies properties preserved under continuous deformations like stretching and bending, but not tearing or gluing. To a topologist, a coffee cup and donut are identical because both have exactly one hole and can be continuously deformed into each other. This branch of mathematics has profound applications in physics, data analysis, and understanding the shape of the universe itself.

💡 Did you know?

A Möbius strip has only one side and one edge - if you cut it lengthwise down the middle, you get one long loop instead of two!

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