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Golden Ratio

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发表于 2021-9-1 00:40:37 | 显示全部楼层 |阅读模式
I'm having a hard time with the golden ratio and applying it to a triangle that I am laying out to cut weight saving holes in.I would like to cut two holes down the centerline, ratio their size and placement but I cant figure out how to apply the ratio twice on one line.Anyone familiar with this ratio?  I know it's 1.6180339887......~I have other gussets to make, so an applied formula would be much appreciated.-Mike Attached ImagesCommon sense in an uncommon degree is what the world calls wisdom.
Reply:I have used the golden rule in rectangles and triangles, but I am having difficulty mentally picturing what you are asking.  Could you give any more explanation?  ThanksBy the way, I haven't heard many even try to use the golden rule much less know what it is.  It was one my questions I asked a top finish carpenter when I was hiring.
Reply:Well....I think If I wanted to apply it twice the only way I can think of would be to ratio the area of a hole to the whole triangle  1 to 1.618 and then to apply it again on your location on the centerline for that hole  applying the ratio to the overall dimension of the line.  As far as applying it with two holes I`m not sure if I can picture that.
Reply:I'm just guessing that you're wanting some visual apsect ratio here. So for most of those types of things I think they use .618 (phi) which is the reciprocal of 1.618 (Phi).  Still falls within the golden ratio. An example is that the nest object inside would be .618 the original and so-on, or a block stacked on top a block would be .618 of the original, like that.Sounds complicated to me. That's why I never could quit get into it deep.
Reply:http://en.wikipedia.org/wiki/Golden_ratioGot a better sketch/pic of what you are trying to do?  I can't quite picture what/where you are trying to put lightening holes in you triangular gussets.To me, the only 'nice' picture of a "centerline" on a triangle would only apply to an equilateral triangle from one vertex across to the middle of the adjacent side, thus bisecting the equilateral triangle into two 30-60-90 triangles.  The best laid schemes ... Gang oft agley ...
Reply:Is this where the holes go?Ed Conleyhttp://www.screamingbroccoli.com/MM252MM211 (Sold)Passport Plus & Spool gunLincoln SP135 Plus- (Gone to a good home)Klutch 120v Plasma cutterSO 2020 benderBeer in the fridge
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