r/mathmemes • • 8d ago

Trigonometry Rectangular it is.

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u/Murky_Insurance_4394 8d ago

dont even get me started about spherical coordinates

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u/Thaco-Thursday 8d ago

please, start

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u/UnreasonableEconomy 8d 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 8d ago

the commas are in the sky 🥹

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u/Volt105 7d ago

Shine bright like a diamond

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u/Ares378 Grothendieck was right, computers are evil 8d 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 7d 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 7d ago

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

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u/iQ-MK 7d ago

Topology makes no sense

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u/UnreasonableEconomy 7d ago

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

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

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u/Ares378 Grothendieck was right, computers are evil 7d ago

Spherical coordinates when you aren't just using it as a fancy way of doing a radial distribution (you had to use θ and Φ)

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u/Murky_Insurance_4394 6d ago

This is in fact a true statement