[NSRCA-discussion] Correct Geometry on N

[george w. kennie]

Not really all that strange Stu. These guys are really kinda splittin' hairs 
here as the ratios are dependent upon the orientation of the figure.If you 
rotate the figure 30 degrees then the opposite holds true and is the result 
of measuring the differential between the distance between the apex's and 
the distance between the flats. I don't think you'd be aware of that in the 
chair, and acurately scrutinizing the angles and line lengths should render 
a deserved score. (i m o)

G.




----- Original Message ----- 
From: "Stuart Chale" <schale at optonline.net>
To: "General pattern discussion" <nsrca-discussion at lists.nsrca.org>
Sent: Tuesday, July 08, 2008 5:45 PM
Subject: Re: [NSRCA-discussion] Correct Geometry on N


> Yes I see what you mean now.
> Strange :)
> Stuart
>
> James Oddino wrote:
>> "The figure is equally tall as it is wide."   No it isn't.  Horizontally 
>> it is as large as the diameter of the circle.  Vertically it is the 
>> distance across the flats which is less.
>>
>> Jim O
>>
>>
>> On Jul 8, 2008, at 2:01 PM, Stuart Chale wrote:
>>
>>> OK lets see if this works.
>>> In the attached drawing there is a hexagon with sharp corners.  Drawn 
>>> symmetrically.  Superimposed is the same 6 sided figure with radiused 
>>> corners.   Around this one is a circle just touching each radius.  The 
>>> figure is equally tall as it is wide.
>>>
>>> Stuart
>>>
>>> atwoodm at paragon-inc.com wrote:
>>>> I gotta go with Richard on this. The length of sides of a 30/60/90 
>>>> triangle are X(short side), 2X (hypotenuse), X * square root of 3 
>>>> (medium side).  If we make X = 1 then the height of the hexagon  will 
>>>> always be 3.46  but the width will very as the side "points" are 
>>>> trimmed by the increasing radius.  With zero radius, the width in my 
>>>> example would be 4 (thus richards 1.15 ratio).  As the radius grows the 
>>>> width narrows.
>>>> Does someone with Cad want to draw this up?
>>>>
>>>> Its somewhat irrelevant. If the angles are correct, and there's 
>>>> symmetry, and equal line lengths, the actual shape will be correct 
>>>> regardless of "roundness"
>>>>
>>>> Sent from my BlackBerry Smartphone provided by Alltel
>>>>
>>>>
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>>
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>
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