Cool Curves to rotate about axis
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
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
add a comment |
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
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
add a comment |
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
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
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
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
asked Nov 22 '18 at 22:22
Dude156Dude156
530215
530215
add a comment |
add a comment |
1 Answer
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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 $x = 0$.
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
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 '18 at 22:36
add a comment |
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1 Answer
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active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
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 $x = 0$.
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
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 '18 at 22:36
add a comment |
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 $x = 0$.
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
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 '18 at 22:36
add a comment |
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 $x = 0$.
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
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 $x = 0$.
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
edited Nov 22 '18 at 22:56
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
answered Nov 22 '18 at 22:29
Rob ArthanRob Arthan
29.1k42866
29.1k42866
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 '18 at 22:36
add a comment |
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 '18 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 '18 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 '18 at 22:36
add a comment |
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