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Theorema Egregium

math Maturity 7-9

You can bend a flat paper.

helicatenoid.gif
helicatenoid.gif
It stays the same if you do not stretch it. A ball is not like a flat sheet. You cannot make a ball from paper without it wrinkling. Math helps us see this. Can you find a curved shape?

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File:Gauss's original statement of the Theorema Egregium.png
Gauss's original statement of the...
File:helicatenoid.gif
helicatenoid.gif
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📚 Content adapted from Wikipedia | Readability: FK 14.3 | Vital Level 5