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.



The topologist's sine curve $$y = \sin(1/x)$$ or its continuous friend $$y = x\sin(1/x)$$ (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 $x = 0$.

| cite | improve this answer | |
  • 1
    $\begingroup$ 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? $\endgroup$ – Dude156 Nov 22 '18 at 22:36

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.