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The Golden Mean
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It is seldom that the same topic is taught in Geometry, Algebra, History, Art, Photography, Philosophy, Astronomy, Physics, Architecture, Economics, Music, Design and (ta da!)Gunsmithing courses at the university.

The middle Greeks (before democracy, demagogues and militarism all perished in the great plague that was first recorded in Athens) saw Geometry, Astronomy and Philosophy as parts of the same whole. They noticed that certain ratios from observation of of the cosmos were also present in the natural world around them. They found that when they incororated these ratios into their architecture, sculpture, pottery and even clothing, the results were beautiful and pleasing to the eye:

Intro to "The Golden Mean"

Just like "Pi", the theoretical number that we use to relate the radius and circumference of circles, "Phi", the Golden Ratio/Mean can only be approximated, never precisely written. We can however, get close enough for government work, and then some.

Π, Ï€ = “Piâ€

Φ, φ = “Phiâ€

Discussion of "The Golden Mean" usually contains a mention of "Fibonacci" numbers. Fibonacci's given name was Leonardo Pisano (Leonard from Pisa). Most people think he was a dago mathemetician, but in those days (~1170 - ~1250) Italy did not yet exist. His biggest contribution was reviving the ancient mathematical notations (the ones we use today) in Europe. He learned those from Arab trained mathemeticians in North Africa. Fascinating story. Anyway:

Leonardo Pisano "Fibonacci" "Bigollo (good for nothing, traveller)"

So you say, "Hey Lawn (Professor Pinhead) Dart, WTF does this have to do with stock making, and pictures of same?"

After this short introduction I will turn the floor over to both our resident experts and our in house conversation killers.........


 
Posts: 7158 | Location: Snake River | Registered: 02 February 2004Reply With Quote
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Well, I can tell you this about Fibanocci. I once relied on some Waive thing and some Fibonnaci numbers to make a stock investment, and I lost every penny. I don't know anything about the golden mean. But I think there is one constant thing from the begining of the human race that can be relied on, and that is the hourglass shape of a beutiful woman. If that isn't the golden mean I don't know what is!
 
Posts: 7090 | Registered: 11 January 2005Reply With Quote
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You've started it now hammering

It is one thing to understand the theory and relationship behind this. It is a whole hell of a different talent to be able to apply it in the form of steel and wood artistry as shown by the true pros (both amateur and paid) that frequent this site. I, for one just appreciate the fact that they share this artistry with us. I can at least look and learn, and the directions/instructions/hints sure help me understand how something was accomplished; even if I couln't get within a country mile of doing it myself. Frowner


Thaine
"Begging hands and bleeding hearts will always cry out for more..." Ayn Rand

"Life may not be the party we hoped for, but while we are here, we might as well dance" Jeanne C. Stein
 
Posts: 730 | Location: New Mexico USA | Registered: 02 July 2004Reply With Quote
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LD, you have waaaay toooo much time on your hands. If your weather is anything like ours today, you could have been out making red mist out of Sage Rats and seeing if you could make them do some back flips and calculating any Fibonacci numbers that might approximate their path in the air. Or you could get bored with that and just spray a few more, or a few hundred more.


Chic Worthing
"Life is Too Short To Hunt With An Ugly Gun"
http://webpages.charter.net/cworthing/
 
Posts: 4917 | Location: Wenatchee, WA, USA | Registered: 17 December 2001Reply With Quote
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I believe there was an article on this very subject in a past issue the ACGG "Gunmaker" newsletter. I need to find it and read it again!


"There are only three kinds of people; those who can count, and those who can't."
 
Posts: 1366 | Location: Houston, TX | Registered: 10 February 2003Reply With Quote
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One can lose money in the market applying a Fibonacci sequence or one can apply it to gunsmithing:



NRA Life Member, Band of Bubbas Charter Member, PGCA, DRSS.
Shoot & hunt with vintage classics.
 
Posts: 9487 | Location: Texas Hill Country | Registered: 11 January 2002Reply With Quote
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Golden Measurement....ratio/dimension/and a definition of facial symetery to determine beauty....

is basically 2pi

i guess the golden mean is roughly 1/2 pi 1.57079etcetcetcetc



jeffe


opinions vary band of bubbas and STC hunting Club

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Posts: 40016 | Location: Conroe, TX | Registered: 01 June 2002Reply With Quote
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Chic,
Lois and I have been packing to move. I wrote the above post while she was sorting out clothes to drop off at Deseret Industries (Salvation Army for Mo's)

I remember Fibonacci from a math history course I took in school for giggles.

A few years after graduation i saw an article where a mathematician pointed out where people have misapplied/overreached the concept (i.e. the stock market).

Jeffe, 1.6180339887499.........
1 + Phi = Phi x Phi

Making beautiful guns starts with talent of course. It helps if the talent knows about proportion because humans seem hard wired to recognize certain proportions as beautiful.

Natural talent in an artisan is like natural talent in a shooter. It takes training, knowledge and a lot of repetition.....


 
Posts: 7158 | Location: Snake River | Registered: 02 February 2004Reply With Quote
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Charlie, hope you find a new home with a landlord with no cats.

I am not sure how I shape stocks but it isn't to any geometric design. I just do it so it meets either my dimensions or that of the customers and then I shape it so I like the looks. It is more of a shape and look type of thing.


Chic Worthing
"Life is Too Short To Hunt With An Ugly Gun"
http://webpages.charter.net/cworthing/
 
Posts: 4917 | Location: Wenatchee, WA, USA | Registered: 17 December 2001Reply With Quote
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When one devotes a career to an endeavor, research for learning, grown and improvement seems a nominal investment. More a prerogative or prerequisite of curiosity, but also a necessity to worthy accomplishment.
thanks LD.
Forrest, in the "new spirit of full disclosure" are we to assume that is your work shown above?
SDH


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Posts: 1837 | Registered: 07 February 2005Reply With Quote
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quote:
SDH: Forrest, in the "new spirit of full disclosure" are we to assume that is your work shown above?

Wink Touche!


NRA Life Member, Band of Bubbas Charter Member, PGCA, DRSS.
Shoot & hunt with vintage classics.
 
Posts: 9487 | Location: Texas Hill Country | Registered: 11 January 2002Reply With Quote
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Chic,

The new landlord said, yesterday, "We have way to many feral cats out here; do you think Magda and Uschi are up to the task?"

The enclosed hot springs swimming pool has zero hardness to the water. He ran an extra power line so I can run a two stage compressor, carding wheel, immersion heater, pizza oven (Cerakote, KG), etc.

I'll practice rust bluing on his Ruger 10/22's, Marlin lever actions, and Mossberg shotguns Eeker.


 
Posts: 7158 | Location: Snake River | Registered: 02 February 2004Reply With Quote
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quote:
Originally posted by fla3006:
One can lose money in the market applying a Fibonacci sequence or one can apply it to gunsmithing:



when you apply it to gunsmithing, THIS is what you get?? I'd prefer to lose some moneyt in the stock market. But I understand applying the Golden Mean in gun building gives you results like this:



"Bitte, trinks du nicht das Wasser. Dahin haben die Kuhen gesheissen."
 
Posts: 4386 | Location: New Woodstock, Madison County, Central NY | Registered: 04 January 2005Reply With Quote
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Hello the Campfire:

Proportion and prospective are in the eye of the beholder. That is why the new short cartriges look fat and squatty to me.

There are some rules that designers use to design objects the are pleasing to most who see them.

One is the "Golden Mean" which has application to buildings, drawings and furniture among other things.

If I remember, the Golden mean or proportion is the ratio of the sides of a rectangle such that the ratio of the short side is to the long side as 1 is 1.17, and then extending the long side by that distance so that the smaller rectangle that may be drawn using demention of the smaller side as an extention of the long side relates to the larger rectangle by the Golden Mean or Golden ratio. An easy way to approximate this is to construct a rectangle, draw a line sudtending the opposite right angles thus producing a hypotenuse for the right angles. With a compass swing as arc equal in radius to the hypotenuse. Extend the long side of the rectangle to intersect the arc. Construct a rectangle with the extention of the long side and the short side of the first rectangle. This is quite close to the Goldem Mean.

Multiples of these rectangles will also be in proportion.
In stock making the ratio of the length of the stock from butt to forearm end will approximate the Golden Mean multiplied several times in a stock that most of us think if a pretty. If it is too far off the Goldem Mean it will seem too long and thin or too short and squatty.

If I could draw this out, it would be far easier to understand.

If you take carefull mesurments even "pleasing" individuals will fit this ratio. Artist use it to darw figures, such as the torso is three heads long, arms out spread should equal the hight of the figure, nipples should be 2/3 of the distance from the groin to the sholder in a woman and 3/4 in a man.

This should make this as clear as bear scat.

Judge Sharpe


Is it safe to let for a 58 year old man run around in the woods unsupervised with a high powered rifle?
 
Posts: 486 | Registered: 16 December 2004Reply With Quote
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Ld, that sounds like Jack Belk's old place down on the Snake River. It had a pond in the living room that flowed out into a pond adjacent to the house, then cascaded through several ponds down to the river.


Chic Worthing
"Life is Too Short To Hunt With An Ugly Gun"
http://webpages.charter.net/cworthing/
 
Posts: 4917 | Location: Wenatchee, WA, USA | Registered: 17 December 2001Reply With Quote
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