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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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 Thomas Nordhaus Posts: 433 Registered: 12/13/04
Re: rational n-gon inscribed in a unit circle
Posted: Dec 12, 2013 4:07 PM

Am 12.12.2013 21:40, schrieb Richard Tobin:
> In article <tlcfa9p32813b7jn9ho5j0q5j9b03htgpb@4ax.com>,
> quasi <quasi@null.set> 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?

>
>
> n=8: 1/4 1/4 1/4 1 1 1 5/4 5/4

You're sure? That would mean:
6*arcs1n(1/8) + 6*arcsin(1/2) + 4*arcsin(5/8) = 2Pi. I get
6*arcs1n(1/8) + 6*arcsin(1/2) + 4*arcsin(5/8) = 6.594... however.

--
Thomas Nordhaus

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
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12/12/13 Helmut Richter
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12/18/13 Richard Tobin
12/18/13 ross.finlayson@gmail.com
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