general equation for a n-side regular polygon
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I was revisiting some geometry problems, and i got me thinking if there is any king of general equation to describe a n-side polygon? Some way similar to the equation that describe a circle, which we can integrate, rescue pretty much any particular information of the circle from the equation.
abstract-algebra geometry polygons
asked Dec 20 '18 at 12:17
J JJ J
155
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add a comment |
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I was revisiting some geometry problems, and i got me thinking if there is any king of general equation to describe a n-side polygon? Some way similar to the equation that describe a circle, which we can integrate, rescue pretty much any particular information of the circle from the equation.
abstract-algebra geometry polygons
asked Dec 20 '18 at 12:17
J JJ J
155
$endgroup$
$begingroup$
regular or any irregular n-sided polygon? Which equation for a circle are you referring to make your analogy/connection, there are several out there?
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– James Arathoon
Dec 20 '18 at 12:28
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See en.wikipedia.org/wiki/Regular_polygon
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– lhf
Dec 20 '18 at 12:33
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in the regular n-sided polygon context i think the association would be similar to the conic section equation, something like : 0 = xˆ2 + yˆ2 + Ax + By + F.
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– J J
Dec 20 '18 at 12:36
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@JeremiasJunior Yes, but can you find a solid that has all the regular polygons as cross-sections? To start, there are infinitely many types of them.
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– Toby Mak
Dec 20 '18 at 13:06
add a comment |
$begingroup$
I was revisiting some geometry problems, and i got me thinking if there is any king of general equation to describe a n-side polygon? Some way similar to the equation that describe a circle, which we can integrate, rescue pretty much any particular information of the circle from the equation.
abstract-algebra geometry polygons
asked Dec 20 '18 at 12:17
J JJ J
155
$endgroup$
I was revisiting some geometry problems, and i got me thinking if there is any king of general equation to describe a n-side polygon? Some way similar to the equation that describe a circle, which we can integrate, rescue pretty much any particular information of the circle from the equation.
abstract-algebra geometry polygons
abstract-algebra geometry polygons
asked Dec 20 '18 at 12:17
J JJ J
155
asked Dec 20 '18 at 12:17
J JJ J
155
asked Dec 20 '18 at 12:17
J JJ J
155
asked Dec 20 '18 at 12:17
J JJ J
155
asked Dec 20 '18 at 12:17
J JJ J
155
155
$begingroup$
regular or any irregular n-sided polygon? Which equation for a circle are you referring to make your analogy/connection, there are several out there?
$endgroup$
– James Arathoon
Dec 20 '18 at 12:28
$begingroup$
See en.wikipedia.org/wiki/Regular_polygon
$endgroup$
– lhf
Dec 20 '18 at 12:33
$begingroup$
in the regular n-sided polygon context i think the association would be similar to the conic section equation, something like : 0 = xˆ2 + yˆ2 + Ax + By + F.
$endgroup$
– J J
Dec 20 '18 at 12:36
$begingroup$
@JeremiasJunior Yes, but can you find a solid that has all the regular polygons as cross-sections? To start, there are infinitely many types of them.
$endgroup$
– Toby Mak
Dec 20 '18 at 13:06
add a comment |
$begingroup$
regular or any irregular n-sided polygon? Which equation for a circle are you referring to make your analogy/connection, there are several out there?
$endgroup$
– James Arathoon
Dec 20 '18 at 12:28
$begingroup$
See en.wikipedia.org/wiki/Regular_polygon
$endgroup$
– lhf
Dec 20 '18 at 12:33
$begingroup$
in the regular n-sided polygon context i think the association would be similar to the conic section equation, something like : 0 = xˆ2 + yˆ2 + Ax + By + F.
$endgroup$
– J J
Dec 20 '18 at 12:36
$begingroup$
@JeremiasJunior Yes, but can you find a solid that has all the regular polygons as cross-sections? To start, there are infinitely many types of them.
$endgroup$
– Toby Mak
Dec 20 '18 at 13:06
$begingroup$
regular or any irregular n-sided polygon? Which equation for a circle are you referring to make your analogy/connection, there are several out there?
$endgroup$
– James Arathoon
Dec 20 '18 at 12:28
$begingroup$
regular or any irregular n-sided polygon? Which equation for a circle are you referring to make your analogy/connection, there are several out there?
$endgroup$
– James Arathoon
Dec 20 '18 at 12:28
$begingroup$
See en.wikipedia.org/wiki/Regular_polygon
$endgroup$
– lhf
Dec 20 '18 at 12:33
$begingroup$
See en.wikipedia.org/wiki/Regular_polygon
$endgroup$
– lhf
Dec 20 '18 at 12:33
$begingroup$
in the regular n-sided polygon context i think the association would be similar to the conic section equation, something like : 0 = xˆ2 + yˆ2 + Ax + By + F.
$endgroup$
– J J
Dec 20 '18 at 12:36
$begingroup$
in the regular n-sided polygon context i think the association would be similar to the conic section equation, something like : 0 = xˆ2 + yˆ2 + Ax + By + F.
$endgroup$
– J J
Dec 20 '18 at 12:36
$begingroup$
@JeremiasJunior Yes, but can you find a solid that has all the regular polygons as cross-sections? To start, there are infinitely many types of them.
$endgroup$
– Toby Mak
Dec 20 '18 at 13:06
$begingroup$
@JeremiasJunior Yes, but can you find a solid that has all the regular polygons as cross-sections? To start, there are infinitely many types of them.
$endgroup$
– Toby Mak
Dec 20 '18 at 13:06
add a comment |
1 Answer
1
active
oldest
votes
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General equation for any given n-sided polygon:
Source: https://danpearcymaths.wordpress.com/2015/03/31/does-a-function-exist-to-describe-a-square-what-about-any-polygon/
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
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Was exacly what i was searching for. Thanks :)
$endgroup$
– J J
Dec 20 '18 at 20:19
$begingroup$
You're most welcome! :)
$endgroup$
– Shruti Madan
Dec 20 '18 at 22:30
add a comment |
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1 Answer
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1 Answer
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$begingroup$
General equation for any given n-sided polygon:
Source: https://danpearcymaths.wordpress.com/2015/03/31/does-a-function-exist-to-describe-a-square-what-about-any-polygon/
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
$endgroup$
$begingroup$
Was exacly what i was searching for. Thanks :)
$endgroup$
– J J
Dec 20 '18 at 20:19
$begingroup$
You're most welcome! :)
$endgroup$
– Shruti Madan
Dec 20 '18 at 22:30
add a comment |
$begingroup$
General equation for any given n-sided polygon:
Source: https://danpearcymaths.wordpress.com/2015/03/31/does-a-function-exist-to-describe-a-square-what-about-any-polygon/
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
$endgroup$
$begingroup$
Was exacly what i was searching for. Thanks :)
$endgroup$
– J J
Dec 20 '18 at 20:19
$begingroup$
You're most welcome! :)
$endgroup$
– Shruti Madan
Dec 20 '18 at 22:30
add a comment |
$begingroup$
General equation for any given n-sided polygon:
Source: https://danpearcymaths.wordpress.com/2015/03/31/does-a-function-exist-to-describe-a-square-what-about-any-polygon/
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
$endgroup$
General equation for any given n-sided polygon:
Source: https://danpearcymaths.wordpress.com/2015/03/31/does-a-function-exist-to-describe-a-square-what-about-any-polygon/
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
answered Dec 20 '18 at 19:34
Shruti MadanShruti Madan
263
263
$begingroup$
Was exacly what i was searching for. Thanks :)
$endgroup$
– J J
Dec 20 '18 at 20:19
$begingroup$
You're most welcome! :)
$endgroup$
– Shruti Madan
Dec 20 '18 at 22:30
add a comment |
$begingroup$
Was exacly what i was searching for. Thanks :)
$endgroup$
– J J
Dec 20 '18 at 20:19
$begingroup$
You're most welcome! :)
$endgroup$
– Shruti Madan
Dec 20 '18 at 22:30
$begingroup$
Was exacly what i was searching for. Thanks :)
$endgroup$
– J J
Dec 20 '18 at 20:19
$begingroup$
Was exacly what i was searching for. Thanks :)
$endgroup$
– J J
Dec 20 '18 at 20:19
$begingroup$
You're most welcome! :)
$endgroup$
– Shruti Madan
Dec 20 '18 at 22:30
$begingroup$
You're most welcome! :)
$endgroup$
– Shruti Madan
Dec 20 '18 at 22:30
add a comment |
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$begingroup$
regular or any irregular n-sided polygon? Which equation for a circle are you referring to make your analogy/connection, there are several out there?
$endgroup$
– James Arathoon
Dec 20 '18 at 12:28
$begingroup$
See en.wikipedia.org/wiki/Regular_polygon
$endgroup$
– lhf
Dec 20 '18 at 12:33
$begingroup$
in the regular n-sided polygon context i think the association would be similar to the conic section equation, something like : 0 = xˆ2 + yˆ2 + Ax + By + F.
$endgroup$
– J J
Dec 20 '18 at 12:36
$begingroup$
@JeremiasJunior Yes, but can you find a solid that has all the regular polygons as cross-sections? To start, there are infinitely many types of them.
$endgroup$
– Toby Mak
Dec 20 '18 at 13:06