Suppose you're a little creature living on a Möbius strip.
Then after "walking in a circle" (i.e. 2π radians), you will actually be upside-down.
In order to get back to where you started, you have to go around twice!
Check out my neat gif!
pic.twitter.com/1MMvp83IWG
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The 𝐏𝐚𝐮𝐥𝐢 𝐈𝐝𝐞𝐧𝐭𝐢𝐭𝐲 tells us how to rotate a 2 component 𝒗𝒆𝒄𝒕𝒐𝒓 of complex numbers, called a "spinor", around an axis θ̂.
for spinors, a rotation by 2π yields -1
only a rotation by 4π yields identity
..sound familiar?pic.twitter.com/ECGtLshlH2
13 replies 16 retweets 61 likesShow this thread -
Replying to @InertialObservr
Besides the Euler identity, it seems to me quite related to the rotation using quaternions.
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Replying to @davidsuculum
@johncarlosbaez would be the authority to talk to on this one
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