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Old 04-10-2018, 08:52 PM   #11 (permalink)
 
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Here's a little insignificant trivia. If you create a Fibonacci series and divide the last number by the previous you will approach to the Golden Ratio. It works with any two seed numbers not just 1,1. Also, the Golden Ratio is one of the few ratios where the reciprocal is the decimal portion. 1/1.618=0.618. Furthermore, Leonardo de Pisa aka Fibonacci brought the Arabic number system and arithmetic method to the Mediterranean.


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Old 04-10-2018, 09:24 PM   #12 (permalink)
 
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Thanks, Mike ! . Nice to be reminded of those facts.
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Old 04-10-2018, 09:47 PM   #13 (permalink)
 
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Does anybody else call it the golden ratio? I remember seeing a scientific analysis that said that all of the natural observations of the golden ratio (or mean) are basically no more common than random chance. Fortunately I had already learned just how many times I was lied to in high school, so my world wasn't too shattered. Anyway, all of this math discussion makes me want to catch up on Numberphile (a super nerdy YouTube channel). Just so you know, the largest known prime number is 2^77,232,917 − 1. You're welcome.
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Old 04-10-2018, 11:36 PM   #14 (permalink)
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Quote:
Originally Posted by Dehn0045 View Post
Does anybody else call it the golden ratio? I remember seeing a scientific analysis that said that all of the natural observations of the golden ratio (or mean) are basically no more common than random chance. Fortunately I had already learned just how many times I was lied to in high school, so my world wasn't too shattered. Anyway, all of this math discussion makes me want to catch up on Numberphile (a super nerdy YouTube channel). Just so you know, the largest known prime number is 2^77,232,917 − 1. You're welcome.
I've always referred to it as the golden ratio also. Other common names are golden section, divine ratio, divine proportion, golden number, and a few others that I don't remember off the top of my head.
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Old 04-11-2018, 01:43 PM   #15 (permalink)
 
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One of my favorite woodworking authors co-wrote a couple of books that take a more historical look at ratios in design. Check out "By Hand and Eye" or the more practical "By Hound and Eye" written by George Walker and Jim Tolpin.
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Old 04-11-2018, 03:22 PM   #16 (permalink)
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I have heard it called - or more specifically Written - as both golden mean and golden ration. 99.9% of the people I know don't have a clue as to what that is, , so the only way I run into those words is through the printed word!
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Old 04-11-2018, 05:38 PM   #17 (permalink)
 
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I was fortunate to have an Art teacher in school who was a very well educated and well-rounded man. The "golden mean" was a part of his instruction to us. (He also always reminded us that a quick rule of thumb was 5:8. It's not exact, but it's a great down-and-dirty ratio to use during the design phase of nearly anything that you want to have a "comfortable proportion" in the end.)
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Old 04-14-2018, 03:43 PM   #18 (permalink)
 
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Long but does dis-spells Golden Mean & Fibonacci numbers: Fact versus Fiction

https://www.youtube.com/watch?v=4oyyXC5IzEE

fhttps://www.quantumbalancing.com/images/goldenmeangauge.jpg

You can convert mm's to inches online or just layout with digital caliper.

https://www.harborfreight.com/6-in-d...ngs-62569.html

Believe what the professor says debunking the golden mean. Most design is derived by ratios & proportions and entire books devoted to the subject for fussy butts that have serious math skills.

While don't use the golden mean or ratio do follow Rude Osolnik's rule of thirds and lay out most of my turning with my homemade Fibonacci Gauge with pencil lines. Certainly don't need my gauge to make a pen but for other turned item it's quick & easy. Listen to many woodturning guru's extol virtues of golden mean but do we need it for turning pleasing shapes? I don't think so if your mileage is different from mine so be it!
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Old 04-14-2018, 03:52 PM   #19 (permalink)
 
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Woodturning Design by Laura & Barry Uden

http://www.westbaywoodturners.com/tu...ing_Design.pdf

While not a fan of golden mean do think these folks tackled a very difficult subject and worth your taking a look only 37 pages.
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Old 04-14-2018, 04:20 PM   #20 (permalink)
 
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I used the golden ratio for determining a set of drawer heights. If I remember correctly, I started with the height of the bottom drawer. The next drawer up, it's height is based on the drawer below. No calculations, just a radius. The procedure iterates for each drawer. Figured cherry with bocote trim. inlaid pulls and top. This chest of drawers was in Fine Woodworking periodical, around 20 years ago.
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