Hi Malte,

I did a Google search for 'polygon'. This a complicated subject especially when not regular.

The following URL's are just a few of what is available showing the complexity.

http://www.cs.unc.edu/~dm/CODE/GEM/chapter.html#Haines94
http://www.cs.man.ac.uk/aig/staff/alan/software/
http://www.mathcats.com/explore/polygons.html
http://www.polygon-weapons.de/

Suggest a survey of the available Google pages (at lease 12) for those items referencing math polygons. This may help you decide what approach you want to take.


On Thursday, March 20, 2003, at 07:46 AM, Malte Brill wrote:


Hi Bob,

Yes, these formulae assumes that all sides are of the same length.  If
not, a different approach is needed.  Just noted that today's list
message 1218 topic 8 from Gernot Lorenz shows a different approach.

It seems working this is all a lot harder as I thought it would be.
The area of a circumscribed polygon = n(r squared)tan(pi/n) where pi =
3.14 and
r = the radius of the circumscribed circle = (l/2)cosec(180/n)

Error in above area formula. Should be: n(r squared)tan(180/n)
Thanks for correcting this. :-)
This I don�t understand. Does it assume a circle around the polygon?
If so
how could one calculate that circle?

Yes it assumes a circle around outside of the polygon(of n sides of equal length). The radius of the circle is given above: r = (1/2)cosec(180/n) The area of the circle = 3.14(r squared)

I can also send you formulae for an inscribed circle (inside of the
polygon).
That would be nice. Even though I haven�t the time to play around with polys
until my current project is finished I would love to try it afterwards.
Sorry the above is not in strictly math format.. Hope this helps.
Regards ...  Bob

If answers to your problem is not sufficient, I would be willing to try
to solve it if you can send me a sketch of the polygon(s).


Regards ... Bob

Thanks for that offer. I really appreciate it. :-)
To be honest. I did not understand all of the discussion on the list. So
actually I haven�t got too far. I guess I need rereading all of the post
quite a few times before I get it.
If you were willing to set up a small stack showing some different
approaches to calculaten areas (and perhaps their unions) I would be very
grateful.

I am not that proficient in scripting to do this. Suggest that you look at the URLs above and then decide what approach you wish to take. Maybe some on the list could then provide further help.



Thanks for your support,


Malte


Regards ... Bob

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