What is the equation of the helicoidal staircase-like surface












1














I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...










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  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47
















1














I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...










share|cite|improve this question


















  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47














1












1








1







I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...










share|cite|improve this question













I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...







geometry surfaces






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 30 at 1:40









MsTais

1738




1738








  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47














  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47








2




2




It's the helicoid.
– Fabio Somenzi
Nov 30 at 1:47




It's the helicoid.
– Fabio Somenzi
Nov 30 at 1:47















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