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Polygons


Best Answer witzar, 23 May 2014 - 09:19 AM

Spoiler for

Go to the full post


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9 replies to this topic

#1 BMAD

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Posted 22 May 2014 - 11:22 PM

Let's define BMAD polygons as polygons where the perimeter and area values are identical.  Does there exist two such polygons (p1, p2) where the number of sides of p1 > the number of sides of p2 but the perimeters are identical?


Edited by BMAD, 22 May 2014 - 11:23 PM.

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#2 bonanova

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Posted 23 May 2014 - 01:56 AM

Regular?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#3 m00li

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Posted 23 May 2014 - 03:03 AM

Spoiler for if


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#4 BMAD

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Posted 23 May 2014 - 03:22 AM

Regular?

 

no not necessarily. 


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#5 BMAD

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Posted 23 May 2014 - 03:23 AM

Spoiler for if

 

wouldn't the area be infinitesimally off 


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#6 BMAD

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Posted 23 May 2014 - 04:05 AM

For example:

 

BMAD Quadrilateral

 

Perimeter = 4 units

Area = 4 units^2

 

(assuming the above is possible)

 

Could I find a BMAD Triangle where

 

Perimeter = 4 units

Area = 4 units^2

 

assuming the same size unit in both cases


Edited by BMAD, 23 May 2014 - 04:10 AM.

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#7 witzar

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Posted 23 May 2014 - 09:19 AM   Best Answer

Spoiler for


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#8 BMAD

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Posted 23 May 2014 - 01:26 PM

Does this hold for shapes with sides > 3? >4?


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#9 m00li

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Posted 23 May 2014 - 10:51 PM

 

Spoiler for if

 

wouldn't the area be infinitesimally off 

 

 

yup, sowwee 


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#10 BMAD

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Posted 23 May 2014 - 11:32 PM

nice. 


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