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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 2 days ago
Brendan McDonnell
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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 2 days ago
Brendan McDonnell
61
New contributor
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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
2 days ago
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
2 days ago
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 2 days ago
Brendan McDonnell
61
New contributor
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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 2 days ago
Brendan McDonnell
61
New contributor
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
Brendan McDonnell
61
New contributor
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
Brendan McDonnell
61
New contributor
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
Brendan McDonnell
61
asked 2 days ago
Brendan McDonnell
61
61
New contributor
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Brendan McDonnell is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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
2 days ago
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
2 days ago
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
2 days ago
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
2 days ago
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
2 days ago
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
2 days ago
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
2 days ago
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
2 days ago
add a comment |
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Brendan McDonnell is a new contributor. Be nice, and check out our Code of Conduct.
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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
2 days ago
You will find some "applications" (please note the quotes) in {mathworld.wolfram.com/Astroid.html} in particular as an envelope.
– Jean Marie
2 days ago