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Topic: rational n-gon inscribed in a unit circle
Replies: 59   Last Post: Dec 19, 2013 12:56 AM

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 fom Posts: 1,968 Registered: 12/4/12
Re: rational n-gon inscribed in a unit circle
Posted: Dec 11, 2013 4:01 PM

On 12/11/2013 2:27 PM, fom wrote:
> On 12/11/2013 1:50 PM, quasi wrote:
>> scattered wrote:
>>> quasi wrote:
>>>>
>>>> Call an n-gon rational if all edge lengths are rational.
>>>> For n > 6, does there exist a rational n-gon which can be
>>>> inscribed in a unit circle?

>>>
>>> Why not multiply your question by the LCM? When can n-gons
>>> whose sides are integers be inscibed inside of a circle of

>>
>> Yes, it's the same question.
>>
>> I just chose to state the question using radius 1 and rational
>> edge lengths.
>>
>> quasi
>>

>
> If you state the question so that both
> the radius and the side are even natural
> numbers, would this not reduce to a question
> concerning Pythagorean triples?
>

Sorry. That is probably wrong.

There may be some subclass for which
the question may be reduced in that
manner.

Date Subject Author
12/10/13 quasi
12/10/13 ross.finlayson@gmail.com
12/10/13 quasi
12/11/13 quasi
12/11/13 quasi
12/11/13 quasi
12/12/13 quasi
12/12/13 Helmut Richter
12/12/13 quasi
12/11/13 scattered
12/11/13 quasi
12/11/13 fom
12/11/13 fom
12/11/13 quasi
12/11/13 fom
12/11/13 Richard Tobin
12/11/13 Richard Tobin
12/12/13 quasi
12/12/13 Richard Tobin
12/12/13 Richard Tobin
12/12/13 quasi
12/12/13 Brian Q. Hutchings
12/13/13 quasi
12/13/13 Brian Q. Hutchings
12/12/13 Thomas Nordhaus
12/12/13 Richard Tobin
12/12/13 quasi
12/12/13 Richard Tobin
12/12/13 quasi
12/12/13 quasi
12/13/13 Richard Tobin
12/13/13 Richard Tobin
12/13/13 quasi
12/13/13 Richard Tobin
12/13/13 quasi
12/13/13 Richard Tobin
12/13/13 quasi
12/13/13 quasi
12/12/13 Richard Tobin
12/13/13 quasi
12/13/13 Richard Tobin
12/13/13 quasi
12/14/13 quasi
12/14/13 quasi
12/14/13 quasi
12/14/13 quasi
12/14/13 Richard Tobin
12/15/13 quasi
12/15/13 quasi
12/15/13 Richard Tobin
12/15/13 David Bernier
12/15/13 quasi
12/18/13 Richard Tobin
12/18/13 ross.finlayson@gmail.com
12/19/13 quasi
12/14/13 Richard Tobin
12/14/13 quasi
12/14/13 Richard Tobin
12/14/13 ross.finlayson@gmail.com
12/15/13 Brian Q. Hutchings