Cool Curves to rotate about axis











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I am working on a project for my Calculus class in which I have to rotate a curve about some axis and 3-d print a model of the curve (using any type of cross-sectional areas). At first, I tried to model a colosseum using the curve $y=0.5x^2$, but I was wondering if anyone had any other cool ideas.



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calculus curves







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    up vote
    2
    down vote

    favorite












    I am working on a project for my Calculus class in which I have to rotate a curve about some axis and 3-d print a model of the curve (using any type of cross-sectional areas). At first, I tried to model a colosseum using the curve $y=0.5x^2$, but I was wondering if anyone had any other cool ideas.



    Thanks!






    calculus curves







    share|cite|improve this question
























      up vote
      2
      down vote

      favorite









      up vote
      2
      down vote

      favorite











      I am working on a project for my Calculus class in which I have to rotate a curve about some axis and 3-d print a model of the curve (using any type of cross-sectional areas). At first, I tried to model a colosseum using the curve $y=0.5x^2$, but I was wondering if anyone had any other cool ideas.



      Thanks!






      calculus curves







      share|cite|improve this question













      I am working on a project for my Calculus class in which I have to rotate a curve about some axis and 3-d print a model of the curve (using any type of cross-sectional areas). At first, I tried to model a colosseum using the curve $y=0.5x^2$, but I was wondering if anyone had any other cool ideas.



      Thanks!






      calculus curves




      calculus curves






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      asked Nov 22 at 22:22









      Dude156

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          The topologist's sine curve $$y = sin(1/x)$$ or its continuous friend $$y = xsin(1/x)$$ (for $0 le x le 1/pi$, say) should be fun. You'll have to do a bit of design work to deal with the discontinuity of $sin(1/x)$ at $x = 0$.






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          • 1




            Thanks for the reply Mr. Arthan! That second curve produces quite an interesting graph. I think I will rotate about the x axis and restrict from 0 to pi. Was that what kinda what you had in mind?
            – Dude156
            Nov 22 at 22:36













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          up vote
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          The topologist's sine curve $$y = sin(1/x)$$ or its continuous friend $$y = xsin(1/x)$$ (for $0 le x le 1/pi$, say) should be fun. You'll have to do a bit of design work to deal with the discontinuity of $sin(1/x)$ at $x = 0$.






          share|cite|improve this answer



















          • 1




            Thanks for the reply Mr. Arthan! That second curve produces quite an interesting graph. I think I will rotate about the x axis and restrict from 0 to pi. Was that what kinda what you had in mind?
            – Dude156
            Nov 22 at 22:36

















          up vote
          1
          down vote













          The topologist's sine curve $$y = sin(1/x)$$ or its continuous friend $$y = xsin(1/x)$$ (for $0 le x le 1/pi$, say) should be fun. You'll have to do a bit of design work to deal with the discontinuity of $sin(1/x)$ at $x = 0$.






          share|cite|improve this answer



















          • 1




            Thanks for the reply Mr. Arthan! That second curve produces quite an interesting graph. I think I will rotate about the x axis and restrict from 0 to pi. Was that what kinda what you had in mind?
            – Dude156
            Nov 22 at 22:36















          up vote
          1
          down vote










          up vote
          1
          down vote









          The topologist's sine curve $$y = sin(1/x)$$ or its continuous friend $$y = xsin(1/x)$$ (for $0 le x le 1/pi$, say) should be fun. You'll have to do a bit of design work to deal with the discontinuity of $sin(1/x)$ at $x = 0$.






          share|cite|improve this answer














          The topologist's sine curve $$y = sin(1/x)$$ or its continuous friend $$y = xsin(1/x)$$ (for $0 le x le 1/pi$, say) should be fun. You'll have to do a bit of design work to deal with the discontinuity of $sin(1/x)$ at $x = 0$.







          share|cite|improve this answer














          share|cite|improve this answer



          share|cite|improve this answer








          edited Nov 22 at 22:56

























          answered Nov 22 at 22:29









          Rob Arthan

          28.7k42865




          28.7k42865








          • 1




            Thanks for the reply Mr. Arthan! That second curve produces quite an interesting graph. I think I will rotate about the x axis and restrict from 0 to pi. Was that what kinda what you had in mind?
            – Dude156
            Nov 22 at 22:36
















          • 1




            Thanks for the reply Mr. Arthan! That second curve produces quite an interesting graph. I think I will rotate about the x axis and restrict from 0 to pi. Was that what kinda what you had in mind?
            – Dude156
            Nov 22 at 22:36










          1




          1




          Thanks for the reply Mr. Arthan! That second curve produces quite an interesting graph. I think I will rotate about the x axis and restrict from 0 to pi. Was that what kinda what you had in mind?
          – Dude156
          Nov 22 at 22:36






          Thanks for the reply Mr. Arthan! That second curve produces quite an interesting graph. I think I will rotate about the x axis and restrict from 0 to pi. Was that what kinda what you had in mind?
          – Dude156
          Nov 22 at 22:36




















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