[seqfan] Re: Number of Equilateral Triangles in Regular 3n-gon

Antreas Hatzipolakis anopolis72 at gmail.com
Tue Apr 9 00:04:45 CEST 2013


Yes, the same problem.

We can also ask the same question for the complete regular 3n-gon
(by taking the extensions of sides and diagonals)

APH


On Tue, Apr 9, 2013 at 12:39 AM, Giovanni Resta <g.resta at iit.cnr.it> wrote:

> On 04/08/2013 09:07 AM, Antreas Hatzipolakis wrote:
>
>> Which is the number of the regular triangles bounded by sides and
>> diagonals
>> in a regular 3n-gon?
>>
>
> I got
> 1, 14, 69, 188, 465
> as the first 5 terms, but I'm not completely sure
> about these values.
>
> I have created a picture of the 69 triangles in the 9-gon,
> grouped by size, here : http://www.iread.it/triang.png
> just to check we are talking about the same problem.
>
> Giovanni
>



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