How does a 'open surface' of a closed loop look like?

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SUMMARY

The discussion centers on the visualization of the 'open surface' of a closed loop solenoid in the context of electricity and magnetism, referencing Walter Lewin's lecture. The term "helicoid" is identified as the correct terminology for describing this surface, distinguishing it from a Riemann surface, which is used to visualize branches of functions. Participants clarify that a Riemann surface does not apply to the solenoid's open surface, emphasizing the importance of precise terminology in mathematical contexts.

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serverxeon
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im on the topic of electricity and magnetism, and came across walter lewin's lecture.

i cannot visualise how the 'open surface' of this solenoid will look like

b7f9ye.png


is the open surface a riemann surface? or something else?

[PLAIN]http://wiki-images.enotes.com/thumb/b/b5/Riemann_sqrt.jpg/180px-Riemann_sqrt.jpg

thanks
 
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I believe the correct terminology is helicoid.

A Riemann surface is something else entirely. I'm not a mathematician, but as I understand it, a Riemann surface is just a way to visualize different branches of a function and how they are related to each other.
 

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