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Fibonacci Gauge

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Project by ugoboy posted 02-22-2015 07:06 PM 4303 views 16 times favorited 9 comments Add to Favorites Watch

In Issue 173 November 2006 Wood Magazine Fibonacci Gauge. I have been building several small projects mainly boxes. There is nothing more frustrating than to build a box and its out of proportion. Hence the need for a Fibonacci Gauge. The Article in Wood Magazine was very informative and the drawing very easy to follow. I made a beta test one exactly like in the article but I found the barrel and screw was a special length to accommodate the 1/16” stock. Also I felt the stock at 1/16th was a little flimsy. So I laminated 2 pieces of curly Maple 1.5mm each and a piece of Mahogany 2.5mm. This stiffened it up nicely, overall thickness came out to be 5.5mm. Now I don’t feel like I am going to break it each time I use it. I found the little barrel connector/Screw at Home Depot $1.18 ea four are needed. I purchased the 3/16” x 1/2” then shaved about 1/16 off the barrel so i could tighten the joint. In the Wood Magazine article it mentions Schlabaugh and Sons Woodworking http://www.schsons.com/ There you can mail order the barrel Connector/Screw for nearly the same price.

-- ~ Guy Woodward, Pflugerville Texas





9 comments so far

View kiefer's profile

kiefer

4881 posts in 2128 days


#1 posted 02-23-2015 12:10 AM

Nicely done Guy
I will have to make one of these instruments which will certainly make it easier to lay out box proportions and thanks for the good build and source info .
Making the legs heavier and laminating them makes good sense .

Klaus

-- Kiefer https://www.youtube.com/user/woodkiefer1/videos

View Combo Prof's profile

Combo Prof

2375 posts in 739 days


#2 posted 02-23-2015 05:09 PM

Very Nice, but here is a mathematical improvement.

In your construction of the gauge part A from the point to the top hole is 6.5 inches, whereas the length from the point to the bottom hole is 4 inches. This gives the ratio 6.5/4= 1.625. Your fibonacci guide will duplicate this ratio between its points.

The golden ratio is (1+sqrt(5))/2=1.61803398874989484820.

Your guide is pretty close only having an error of .00696601125010515180.

Your 6.5 = 13/2 and your 4= 8/2, and of course 8 and 13 are consecutive in the fibonacci sequence: 1 1 2 3 5 8 13 21 34 55…..

Although your guide is probably good enough
you could instead choose 34/4 = 8.5 and 21/4= 5.25 and get the ratio (8.5/5.25)=1.61904761904761904761 and then have an error of only .00101363029772419941.

Even better is 55/8 = 6.875 and 34/8 = 4.25 to get a ratio of 1.61764705882352941176 which has error .00038692992636543644. The latter is pretty close to your measurements and can easily be manufactured.

So I would make part A = 6.875+0.25 =7.125 inches long, part B = 4.5 inches long and part C= 3.125 inches long. Holes to be placed 1/4 inch in from the ends exactly as in your diagram.

-- Don K, (Houghton, Michigan)

View JoeinGa's profile

JoeinGa

7479 posts in 1468 days


#3 posted 02-23-2015 05:11 PM

I saw this yesterday about 10 minutes after you posted it. I happened to notice that it only had about 15 views. Now here it is 22 hours later and it has over 1200 views and STILL only one comment (now 2 with mine).

Looks like it certainly meets all the specs in the print, and to those who need one I’m sure it does the job.

But what I’m wondering is how many folks clicked on it just to see what the heck a “Fibonacci Gauge” is? I did have a basic knowledge of what it was for, but I’ve never been that worried about having a “balanced” project. Well, that and I dont (as of yet) build boxes. :-)
So c’mon folks, fess up. Who didn’t know what a Fibonacci Gauge is? :-)

-- Perform A Random Act Of Kindness Today ... Pay It Forward

View Combo Prof's profile

Combo Prof

2375 posts in 739 days


#4 posted 02-23-2015 05:26 PM

I had never heard of a Fibonacci guide is, but I’m a Combinatorial mathematician and have dealt with things related to the Fibonacci numbers all my life. So I had to figure what this tool did. There seems to be little almost nothing you can googgle that explicitly works out the mathematics. There is a lot of info and building one, what the history is and what it is good for, but nothing on how it actually works. So I had a little fun this morning figuring it out.

-- Don K, (Houghton, Michigan)

View WisconsinWoodsman's profile

WisconsinWoodsman

47 posts in 1448 days


#5 posted 02-23-2015 05:26 PM

Good work guy, It looks neat and well made. I do have a question in how does it work? I understand the idea behind it but cannot for the life of me figure out how it works in practice. For instance what does each on of the “arms” do? Thank you in advance and have a wonderful day!

-- Finally, be strong in the Lord and in the strength of His might. Put on the full armor of God, so that you will be able to stand firm against the schemes of the devil. -Ephesians 6:10-11

View Dave Rutan's profile

Dave Rutan

1430 posts in 1650 days


#6 posted 02-23-2015 05:33 PM



Good work guy, It looks neat and well made. I do have a question in how does it work? I understand the idea behind it but cannot for the life of me figure out how it works in practice. For instance what does each on of the “arms” do? Thank you in advance and have a wonderful day!

- WisconsinWoodsman

This pretty much answers everything:


View on YouTube

-- Ni faru ion el ligno!

View Dave Rutan's profile

Dave Rutan

1430 posts in 1650 days


#7 posted 02-23-2015 05:35 PM



I saw this yesterday about 10 minutes after you posted it. I happened to notice that it only had about 15 views. Now here it is 22 hours later and it has over 1200 views and STILL only one comment (now 2 with mine).

Looks like it certainly meets all the specs in the print, and to those who need one I m sure it does the job.

But what I m wondering is how many folks clicked on it just to see what the heck a “Fibonacci Gauge” is? I did have a basic knowledge of what it was for, but I ve never been that worried about having a “balanced” project. Well, that and I dont (as of yet) build boxes. :-)
So c mon folks, fess up. Who didn t know what a Fibonacci Gauge is? :-)

- JoeinGa

I know what it is. Built one, but I have yet to really use it for woodworking.

http://lumberjocks.com/Dave10/blog/47577

-- Ni faru ion el ligno!

View WisconsinWoodsman's profile

WisconsinWoodsman

47 posts in 1448 days


#8 posted 02-23-2015 05:44 PM

Thank you Dave for the fast response and even more helpful link. I knew I should have looked it up on YouTube. I have always just made stuff fit the prices I had or fit into a space for a certain purpose.

-- Finally, be strong in the Lord and in the strength of His might. Put on the full armor of God, so that you will be able to stand firm against the schemes of the devil. -Ephesians 6:10-11

View BikerDad's profile

BikerDad

284 posts in 3062 days


#9 posted 02-25-2015 04:25 AM

For anybody interested in a deeper dive into designing by proportions and other such, check out By Hand & Eye

-- I'm happier than a tornado in a trailer park! Grace & Peace.

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