What are the practical applications of the Astroid curve?
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The astroid curve is a fascinating and famous curve — but why do we care?
Several famous mathematicians and physics worked on it, like Roemer, Bernoulli, and Leibnitz, but why? Is it simply for investigating mathematical properties of the curve, or is there some practical application?
In my research, I have found very little real-world applications of the astroid curve, and only in very high-level physics (for example, caustics in gravitational lensing).
Since the astroid curve has been so extensively studied, is there some simple application I am missing?
applications cycloid
asked Nov 19 at 20:10
Brendan McDonnell
61
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up vote
1
down vote
favorite
The astroid curve is a fascinating and famous curve — but why do we care?
Several famous mathematicians and physics worked on it, like Roemer, Bernoulli, and Leibnitz, but why? Is it simply for investigating mathematical properties of the curve, or is there some practical application?
In my research, I have found very little real-world applications of the astroid curve, and only in very high-level physics (for example, caustics in gravitational lensing).
Since the astroid curve has been so extensively studied, is there some simple application I am missing?
applications cycloid
asked Nov 19 at 20:10
Brendan McDonnell
61
I don't know about the asteroid curve specifically, but a thing does not have to have any real application to captivate mathematicians. For an extreme example, see Fermat's last theorem, whose most important application as far as I know is to prove that $sqrt[n]2$ is irrational for $ngeq3$.
– Arthur
Nov 19 at 20:21
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
Nov 19 at 23:13
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
The astroid curve is a fascinating and famous curve — but why do we care?
Several famous mathematicians and physics worked on it, like Roemer, Bernoulli, and Leibnitz, but why? Is it simply for investigating mathematical properties of the curve, or is there some practical application?
In my research, I have found very little real-world applications of the astroid curve, and only in very high-level physics (for example, caustics in gravitational lensing).
Since the astroid curve has been so extensively studied, is there some simple application I am missing?
applications cycloid
asked Nov 19 at 20:10
Brendan McDonnell
61
The astroid curve is a fascinating and famous curve — but why do we care?
Several famous mathematicians and physics worked on it, like Roemer, Bernoulli, and Leibnitz, but why? Is it simply for investigating mathematical properties of the curve, or is there some practical application?
In my research, I have found very little real-world applications of the astroid curve, and only in very high-level physics (for example, caustics in gravitational lensing).
Since the astroid curve has been so extensively studied, is there some simple application I am missing?
applications cycloid
applications cycloid
asked Nov 19 at 20:10
Brendan McDonnell
61
asked Nov 19 at 20:10
Brendan McDonnell
61
asked Nov 19 at 20:10
Brendan McDonnell
61
asked Nov 19 at 20:10
Brendan McDonnell
61
asked Nov 19 at 20:10
Brendan McDonnell
61
61
I don't know about the asteroid curve specifically, but a thing does not have to have any real application to captivate mathematicians. For an extreme example, see Fermat's last theorem, whose most important application as far as I know is to prove that $sqrt[n]2$ is irrational for $ngeq3$.
– Arthur
Nov 19 at 20:21
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
Nov 19 at 23:13
add a comment |
I don't know about the asteroid curve specifically, but a thing does not have to have any real application to captivate mathematicians. For an extreme example, see Fermat's last theorem, whose most important application as far as I know is to prove that $sqrt[n]2$ is irrational for $ngeq3$.
– Arthur
Nov 19 at 20:21
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
Nov 19 at 23:13
I don't know about the asteroid curve specifically, but a thing does not have to have any real application to captivate mathematicians. For an extreme example, see Fermat's last theorem, whose most important application as far as I know is to prove that $sqrt[n]2$ is irrational for $ngeq3$.
– Arthur
Nov 19 at 20:21
I don't know about the asteroid curve specifically, but a thing does not have to have any real application to captivate mathematicians. For an extreme example, see Fermat's last theorem, whose most important application as far as I know is to prove that $sqrt[n]2$ is irrational for $ngeq3$.
– Arthur
Nov 19 at 20:21
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
Nov 19 at 23:13
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
Nov 19 at 23:13
add a comment |
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I don't know about the asteroid curve specifically, but a thing does not have to have any real application to captivate mathematicians. For an extreme example, see Fermat's last theorem, whose most important application as far as I know is to prove that $sqrt[n]2$ is irrational for $ngeq3$.
– Arthur
Nov 19 at 20:21
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
Nov 19 at 23:13