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Posted by clintonG on July 8, 2007, 12:04 am
>
>>
>>> "++"> wrote
>>>> clintonG wrote:
>>>>>http://www.flixxy.com/fibonacci-number.htm
>>>>>
>>>> We all did Fibonacci sequences in High School, if not earlier. Without
>>>> a clue, I don't click. What are you getting at here?
>>>
>>> The Golden Rectangle, 1.618, Archimedes Spiral.
>>>
>>> I invented this one: .7071
>>> Found it invaluable while doing dimensions by hand, before CAD.
>>
>> Those days before CAD I used a compass to bisect squares to get the
>> golden rectangle. I have no idea intuitively how you would have used
>> .7071 other than to surmise it is .618 rounded up perhaps? Why mess
>> around then and why .7071?
>
> I do very few angles and most of the ones I do do are 45 degree.
> (the exception being cross sections through stairs)
> When I did manual drafting I figured dimensions in decimals, 2" = .17, 4"
> = .33, etc.
> (I'm one of those extremely rare drafters that runs CONTINUOUS strings of
> dimensions across the entire project in order to make sure everything is
> where its supposed to be, an art that seems to have become largely extinct
> circ late 20th century and is reflected in other poor design procedures
> and building practices)
> When calculating the length of a 45 degree angle, the long side, I found
> that a very close approximation was the short side divided by .7071.
> It worked in reverse as well of course.
> Try it and see, that is, if remember how. LOL
> (I don't even think I have a calculator anymore, I just use the windows
> version)
> Or better yet, do it by hand....long hand! heh
That's very interesting. There's a gazillion numerical "coincidences" and
"tricks" that can be learned or discovered eh? BTW -- I'm a running
dimensional guy myself. I'm 54 and got trained in the ways of the old
school.
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