Can the “edges” of a “cylindrical” surface in 3-space be found with or without a defining function?

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I know I'm not using correct terminology here, so please bear with me and correct as needed.



This shows an example of a 3-dimensional solid (the boat) assembled from flat panels. Given the solid, how may I find the shapes of the panels? In other words, assume for argument that each of four "sides" of a panel is defined by function f_1(x)(a>x>b),f_2(x)(c>x>d),f_3(x)(e>x>f),f_4(x)(g>x>h). Can I find the functions and regions?



I know in calculus there is such a thing as a surface of revolution, but that returns a numerical area, not a geometric shape.










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    down vote

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    I know I'm not using correct terminology here, so please bear with me and correct as needed.



    This shows an example of a 3-dimensional solid (the boat) assembled from flat panels. Given the solid, how may I find the shapes of the panels? In other words, assume for argument that each of four "sides" of a panel is defined by function f_1(x)(a>x>b),f_2(x)(c>x>d),f_3(x)(e>x>f),f_4(x)(g>x>h). Can I find the functions and regions?



    I know in calculus there is such a thing as a surface of revolution, but that returns a numerical area, not a geometric shape.










    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I know I'm not using correct terminology here, so please bear with me and correct as needed.



      This shows an example of a 3-dimensional solid (the boat) assembled from flat panels. Given the solid, how may I find the shapes of the panels? In other words, assume for argument that each of four "sides" of a panel is defined by function f_1(x)(a>x>b),f_2(x)(c>x>d),f_3(x)(e>x>f),f_4(x)(g>x>h). Can I find the functions and regions?



      I know in calculus there is such a thing as a surface of revolution, but that returns a numerical area, not a geometric shape.










      share|cite|improve this question













      I know I'm not using correct terminology here, so please bear with me and correct as needed.



      This shows an example of a 3-dimensional solid (the boat) assembled from flat panels. Given the solid, how may I find the shapes of the panels? In other words, assume for argument that each of four "sides" of a panel is defined by function f_1(x)(a>x>b),f_2(x)(c>x>d),f_3(x)(e>x>f),f_4(x)(g>x>h). Can I find the functions and regions?



      I know in calculus there is such a thing as a surface of revolution, but that returns a numerical area, not a geometric shape.







      general-topology solid-geometry






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      asked Sep 6 at 2:04









      Joe Stavitsky

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