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Manifold

math Maturity 7-9

Some shapes look like flat maps.

Polar stereographic projections.jpg
Polar stereographic projections.jpg
A round ball is not flat. You need many maps to see it all. These maps work like a book.
Circle with overlapping manifold charts.svg
Circle with overlapping manifold charts.svg
They help us see big shapes. Can you find a round shape?

46 words
🖼️ Images & Media (12)
File:Klein bottle.svg
Klein bottle.svg
File:Polar stereographic projections.jpg
Polar stereographic projections.jpg
File:Circle with overlapping manifold charts.svg
Circle with overlapping manifold charts.svg
File:Circle manifold chart from slope.svg
Circle manifold chart from slope.svg
File:Conics and cubic.svg
Conics and cubic.svg
File:Boundary of Manifold with charts.png
Boundary of Manifold with charts.png
File:Sphere with chart.svg
Sphere with chart.svg
File:Red cylinder.svg
Red cylinder.svg
File:Moebius strip.svg
Moebius strip.svg
File:BoysSurfaceTopView.PNG
BoysSurfaceTopView.PNG
File:MorinSurfaceAsSphere'sInsideVersusOutside.PNG
MorinSurfaceAsSphere'sInsideVersusOutside.PNG
File:Spherical harmonics.png
Spherical harmonics.png
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📚 Content adapted from Wikipedia | Readability: FK 12.4 | Vital Level 4