You can drop “seemingly”: SO(3) is indeed tree-dimensional. And SO(3) a.k.a. P^3... | Hacker News

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		hanche on June 1, 2021 \| parent \| context \| favorite \| on: Rotations with quaternions You can drop “seemingly”: SO(3) is indeed tree-dimensional. And SO(3) a.k.a. P^3 has fundamental group Z_2 a.k.a. GF(2), whereas T^3 has fundamental group Z^3, so they are quite different beasts indeed.

anon_tor_12345 on June 2, 2021 [–]

yea you're right. kudos for explaining it so succinctly.

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