[NSRCA-discussion] Correct Geometry on N

Ken Velez kvelez at comcast.net
Tue Jul 8 08:11:06 AKDT 2008


If the lines are 45's there is no other answer is a square shape no matter how long or short the 45's are all sides will be equal. that makes a square.

Ken
  ----- Original Message ----- 
  From: Bob Richards 
  To: General pattern discussion 
  Sent: Tuesday, July 08, 2008 11:23 AM
  Subject: Re: [NSRCA-discussion] Correct Geometry on N


        Unless my geometry is wrong (and I was really good at geometry in schooll) then the only way it can be a square is if the corner radii are = 0.  It should always be a little wider than it is tall. If not, then the diagonals are not 45 degree lines.



        Draw it on paper, or with CAD, and you will see.

        Bob R

        --- On Tue, 7/8/08, Chad Northeast <chadnortheast at shaw.ca> wrote:


          Its definitely a square,

          Basically you have two 45x45 right triangles with the right angle vertex's (the 90's) intersecting.

          In that case the vertical lines are twice the length of each triangles horizontal length (when oriented as an hourglass), therefore two of them equal the height of the verticals....and a square you have!

          The 45 lines end up being about 1.4 times longer than the vertical lines, if you fly the correct geometry.

          Chad
       



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