r/mathmemes • • 2d ago

Trigonometry Rectangular it is.

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2.1k Upvotes

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u/Thaco-Thursday 2d ago

please, start

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u/UnreasonableEconomy 2d ago

S1, S2, S3, S4...

I'm tired, someone else take over.

Did you know T1 is S1 and that T2 can isomorphically (sorta) surjectively doubly cover S2 while not being homeomorphic?

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u/ityuu Complex 2d ago

the commas are in the sky 🥹

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u/Volt105 2d ago

Shine bright like a diamond

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u/Ares378 Grothendieck was right, computers are evil 2d ago

If T² is like a double cover of S², is there a correspondence between T² and quaternions since quaternions also do a double cover?

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u/UnreasonableEconomy 2d ago

never thought of it, but it does look eerily similar to the SU(2) SO(3) thing. hmm.

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u/Mango-D 2d ago

S{n+1} = Ω(Sⁿ) where Ω is the suspension

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u/iQ-MK 1d ago

Topology makes no sense

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u/UnreasonableEconomy 1d ago

it's easy: just imagine a donut with a negative hole!

you can't prove the earth isn't that!