[NSRCA-discussion] Correct Geometry on N

Mark Atwood atwoodm at paragon-inc.com
Tue Jul 8 07:39:24 AKDT 2008


Hmmmm...  I hate to say it, but I think your geometry is wrong :(.

The size of the radii won¹t matter (provided they¹re all the same and
smaller than the overall shape)...it has to be square to get 45deg lines.
You¹re simply taking a square and bisecting it with crossing lines that are
at 45degree angles.  Expanding the radii from 0 simply makes each straight
segment smaller, it doesn¹t change the drawing at all.

I can draw the hourglass box and overlay a bunch of different radii over it
without changing the overall shape.

-M


On 7/8/08 11:23 AM, "Bob Richards" <bob at toprudder.com> wrote:

> 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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