Golden Ratio's topics - tribe.net

Golden Ratio and Attractiveness

2009-08-20T01:56:47Z

Comment posted to a gay men's social site in response to the proposition that the Golden Ratio is implicit in physical attractiveness:

"I wonder who came up with this Golden Ratio and pretended that it was objective."

The really scary part is that the guy who posted this response is a student at Columbia.

Yes, this, folks, is the caliber of the Ivy League intellect in the 21st century.

posted in Golden Ratio - 0 replies

Trigonometry and the Golden Ratio

2008-04-21T01:13:53Z

Looking to sharpen your knowledge of the golden ratio?

If you have some experience with compass/ruler constructions try this-

Determine the trigonometric values of angles such as 18, 36, 54, and 72 degreees.
Express them in terms of the Golden Ratio and also express them in their simplest radical form.

Hint: You will find these angles in a regular pentagon. You will need to rigorously construct a pentagon. If you havn't done so - try some simpler constructions first.
Arm yourself with a true understanding of the Pythagorean Theorem. Know some basic algebra so you can simplify expressions.

posted in Golden Ratio - 6 replies

Rock band Tool uses Fibonacci sequence

2007-11-15T01:53:08Z

This was discussed in the Tool tribe and thought it was interesting. Apparently the lyrics and drum beats of a song they wrote follows the Fibonacci sequence.
here is a link explaining it.

http://groups.google.com/groups?q=tool+fibonacci&hl=en&lr=&ie=UTF-8&oe=UTF-8&selm=jkSu9.84230%24%25M1.2131280%40twister2.libero.it&rnum=3

posted in Golden Ratio - 4 replies

This way to the rabbit hole!

2007-05-06T20:13:50Z

http://thecompletefloweroflife.blogspot.com/

posted in Golden Ratio - 0 replies

Geometry and Art: From Escher to Animation (event in NYC)

2007-04-25T20:10:44Z

Geometry and Art:
From Escher to Animation

Wednesday, May 2, 6:30 pm – Free

Learn about mathematician Donald Coxeter and contemporary
artwork that uses geometry. With Siobhan Roberts, author of King of
Infinite Space: Donald Coxeter, The Man Who Saved Geometry,
George Hart, sculptor and author of the online Encyclopedia of Polyhedra,
Emmy Award-winning animator Mark Neumann,
and Jeff Weeks' Dodecahedral Universe,
a trippy 3D animated fly-through of geometric space.

Arrive early (4:00 pm on) and help mathematician Dan Duddy construct a
shadow of the fourth dimension; a giant truncated hyperdodecahedron.
Everyone is welcome!

The Graduate Center
of the City University of New York
365 Fifth Avenue (at 34th St)

Pre-registering holds your seat until 15 minutes before curtain, then seating is first come, first served. Pre-register by phone or email: 212-817-8215 or continuinged@gc.cuny.edu, and refer to registration number #7278.

Supported in part by the National Science Foundation, the Richard Lounsbery Foundation, and Con Edison.

Science & the Arts
http://web.gc.cuny.edu/sciart

posted in Golden Ratio - 0 replies

dual spirals

2007-02-27T07:00:56Z

I want to ask something. In the classical golden spiral, there is a second spiral implied. Each curve is 1/4 a circle.. the second spiral results when you draw the 3/4 of the remaining circle outside the square, and you do not draw the 1/4 in the square. This spiral wobbles and is not as pleasing to the eye. What is it called? You can do the same thing with golden traiangles. I think there's 2 golden traiangles.. and they each have two logarithmic spirals each.

posted in Golden Ratio - 2 replies

Some things I was told about the Golden Mean

2007-02-22T13:40:01Z

I've been having a long chat with someone who is very well known and respected in the world of science and sacred geometry, but he is keeping a low profile so I wont say who he is.

I love the Golden Mean so some of the things he said . . well have a look.

He has this to say about the Golden Spiral and i wondered if anyone wanted to comment on it?

Firstly I asked:
What is it that the Fibonacci does not have that keeps you from respecting it equally amongst other spirals?

And his response:
It's nonsense. It's trivial. It's almost useless.

There is a whole world of really intriguing forms. Forms based on the Fibonacci numbers are just not interesting, because they're so trivial.

I don't mind if others are fascinated by the wallpaper, but I'm not. There is nothing wrong with the Fibonacci numbers, other than that they're "a dime a dozen". The whole thing is just plain wacko. Why people are so focused on this triviality is beyond me.

He are some other snippets:

1. The golden proportion is sterile, because it's narcissistic. It always circles itself in its own self-image, just like Narcissus in the famous myth of Greek godly mental illness. Narcissism, self-centeredness (as represented by the logarithmic spirals, including the golden spiral), is the antithesis of maturity and spiritual growth. It attracts children whose world includes only themselves and
their parents.

2. The golden spiral is sterile because it is _completely_
symmetrical, and never changes. It's the opposite of life, which is why it only shows up in the dead traces of where life used to be. It's not productive. Life is extraordinarily asymmetrical. I'm not referring to the fact that we have left-right symmetry and two arms, two eyes, etc. I'm talking
about the process of life, not a photograph. The process of life is utterly asymmetrical, starting from a helpless single fertile cell, and growing into billions of cells of an utterly unique being with free will. This is truly "the one and the many". It's exactly the opposite of the "gilded" frauds being promoted on the Internet.

3. The golden proportion is not either enormously important, nor worthless. It's a number. It's one of an infinite number of interesting numbers. It's not important in any particular way, compared to many other numbers, and numbers are not important at all compared to what they represent.

On the scale of importance, if healthy, natural cooking is a 10, and McDonald's Burgerbilge is a 1, then the golden proportion is a 2. Okay? It ain't going to poison you, but it doesn't provide much nutrition, either.

4. The nutburger that wrote the book on the golden proportion for Dover Publications was a religious fanatic. This kind of pseudo-scientific nonsense has been selling like hotcakes for about a century and a half since someone first decided to call the "narcissistic" spiral, golden. (Prior to the mid-1800's, neither the proportion nor the spiral were called "golden". The name was because fraudsters were trying to "turn lead into gold". Apparently, this con still works, because there are plenty of people on the Internet who are buying it. It's just plain sad.)

5. The idea of "a most beautiful proportion" is itself simply not true. This doesn't stop artists from believing in it, but it does frustrate people who know more.

And then he says . . . .

There are extraordinary beauties in mathematics, but you have to refine your eyes first, in order to see them. Most mathematicians that I know see mathematics as a kind of music, perhaps the highest form of art because of its extraordinary beauty. (Most non-mathematicians don't see any of this. But then, people who are tone-deaf don't enjoy music.)

posted in Golden Ratio - 6 replies

Zome: geometric building toy

2006-07-25T04:35:08Z

Have you seen Zome yet?
I know this group shall be interested.

zometool.com/

This is a tool that will help you to unfold the mysteries of the ordering of space.

What can be built and studied with Zome?

Platonic and Archimedean solids, Kepler-Poinsot solids, prisms, antiprisms, stellation, truncation, tiling of 2 and 3 dimensional space, recursive and fractal structures, geodesic domes, pyramids,
shadows of shapes in higher dimensions- hypercube, the 120-cell,etc.,
Bucky balls and nanotubes, DNA, Viruses, and a lot more.

You can dip shapes into a bucket of bubles and get cube and dodecahedron shaped bubles!

The ball is shape coded and you plug rods into the proper holes. The rods scale by the golden ratio and also measure by sqrt2, sqrt3, and other irrational lengths that frequently arise in measurements of polyhedra.

you can see photos of models here-

www.georgehart.com/virtual-...tool.html

some of the most advanced constructions can be seen here-

georgehart.com/

homepages.wmich.edu/~drichte...index.htm

posted in Golden Ratio - 0 replies

Freestying with the Golden Proportion

2006-05-22T02:12:01Z

I recently filmed Sifu Rob Moses breaking the mold while experimenting and explaining the "Sphere Knot" Sacred Geometry Toy. The potential for using Phi to explore human movement is out of this universe; really!

22meg mpeg

http://www.kungfulahoops.com/videos/robmoses_sphereknot_050106.mpg

32 meg avi

http://www.kungfulahoops.com/videos/robmoses_sphereknot_050106_xvid.avi

Sacred Geometry Toys: Kung Fu La Hoops

www.kungfulahoops.com
www.kungfumoses.com

posted in Golden Ratio - 0 replies

Jay Harmon - "Designing the Next Golden Age"

2006-02-15T23:11:37Z

I heard a speach by Jay Harman on the 2004 bioneers conference cd set and was totally amazed by his research on design and etc. in harmony with nature, mainly spiral design for boat and major water vessel propellation (is that a word? :)

Anyone else here know about him and his work?
(If not, you should check him out)
(if you have, please share with me!)

posted in Golden Ratio - 0 replies

The Prehistoric Alignment of World Wonders

2005-12-02T00:31:25Z

Blow your mind:
http://home.hiwaay.net/~jalison/index.html

Exerpts:
--"Great circles are straight lines that go all the way around the center of the earth. The equator is a great circle. Meridians of longitude that cross over the north and south poles are also great circles."

--"Easter Island, Nazca, Ollantaytambo, Paratoari, Tassili n'Ajjer and Giza are all aligned on a single great circle. Additional ancient sites that are located within one tenth of one degree of this great circle include Petra; Perseopolis; Khajuraho; Pyay, Sukothai and Anatom Island."

--"The relationship between the distances from Angkor Vihear to the Great Pyramid and from the Great Pyramid to the Nazcan Hummingbird is also a precise expression of φ:

4,754 x 1.618 = 7,692

Because the Hummingbird and Angkor Vihear are antipodal sites, with a distance between them of one-half of the circumference of the earth, two Golden Section relationships between these three sites are shown by the circumference of the earth along the line of ancient sites."

--"Percentage of circumference:__First three digits of Fibonacci numbers:
Angkor to Giza: 19.1%________#137: 191... (Prime)
Giza to Nazca: 30.9%_________#138: 309...
Nazca to Angkor: 50.0%_______#139: 500...

Distance between sites:_______First five digits of Fibonacci numbers:
Angkor to Giza: 4,754 miles____#359: 47542... (Prime)
Giza to Nazca: 7,692 miles_____#360: 76924...
Nazca to Angkor: 12,446 miles__#361: 12446..."

--"Easter Island is triangular and the three volcanic peaks on Easter form an isosceles triangle with an apex angle of 108° and base angles of 36°. The ratio between the length of the base and the lengths of the sides is φ (6.8 miles x 1.618 = 11 miles)."

--"The straight line distance, through the Earth, from Angkor Wat to Easter (7,574 miles), plus the straight line distance from Easter to Macchupicchu (2,522 miles), equals the great circle distance from Angkor Wat to Easter (10,096 miles).

The straight line distance from the Great Pyramid to Easter (7,566 miles) is three times the straight line distance from Easter to Machupicchu (2,522 miles).

The straight line distance from Easter to its antipodal point in the Indus Valley (7,924 miles), which is also the diameter of the Earth, is 3.1416 times the straight line distance from Easter to Machupicchu (2,522 miles), a precise expression of π.

Since the circumference of the Earth is also 3.1416 times the diameter of the Earth, the straight line distance from Easter to Machupicchu times π² equals the circumference of the Earth."

--"As the Earth rotates on it’s axis, the Equator remains aligned, but the line of ancient sites describes a sine wave as a result of it’s tilt relative to the Equator. The line of the ecliptic may be observed describing a similar wave by spinning a globe that has a line of the ecliptic.

The wavelength is equal to the circumference of the Earth. The amplitude of this wave, measured from the middle of the wave (the equator), is 30° of latitude. Recall that the 30th parallels are ½ of the height of each hemisphere, or ½ of the radius of the Earth.

Since the height of the wave is equal to ½ of the Earth’s radius, the ratio between the wavelength and it’s amplitude is 4π. Measuring the amplitude from the top of the wavelength to the bottom (from 30° N to 30° S), the amplitude is equal to the radius of the Earth, and the ratio between the wavelength and the amplitude is 2π."

--"The old urban centers on the Eastern Seaboard of the U.S are in nearly perfect alignment.

This great circle line crosses through the middle of Washington DC and the middle of Boston, and it crosses right over the middle of New York City. It also crosses over Philadelphia and the Baltimore waterfront. The azimuth of this line as it crosses over NYC is 52°, which is also the angle of the sides of the Great Pyramid.

The alignment crosses between Teotihuacan and Cholula in Mexico and just as this alignment crosses into Mexico from the gulf it crosses over the ancient city of El Tajin and the pyramid of niches. The alignment also crosses over Baalbek, Lebanon and just north of the ancient city of Troy. The alignment also crosses over Stonehenge. The azimuth of the alignment as it crosses over Stonehenge is 72° west of due north and 72° east of due south, which is not the same as the primary alignment of Stonehenge itself. However, the alignment from the center of Stonehenge to the center of the heel stone is 52° east of due north, which is the same as the azimuth of this global alignment as it crosses over New York City and the same as the angle of the Great Pyramid.

In addition to the cities on the Eastern Seaboard and the ancient sites listed above, this alignment also crosses over a number of other major cities of the modern era, including Mexico City, the national capital of Mexico; Mobile, Alabama; Atlanta, Georgia; London, the national capital of England; Lille, France, Stuttgart and Munich in southern Germany; Zagreb, the national capital of Croatia; Belgrade, the national capital of Serbia; Sofia, the national capital of Bulgaria; Beirut, the national capital of Lebanon; Damascus, the national capital of Syria; and Riyadh, the national capital of Saudi Arabia."

posted in Golden Ratio - 0 replies

9 circles in squares (help now please)

2005-04-11T18:30:40Z

i was searching for some information on this ancient pattern.
to my surprise, could not find any online, anywhere.
so i was forced to try to draw the image myself.

this image reveals something about alternating near-perfect phi ratios
and human consciousness

do you know anything about it
or, can you find me an image that is made with a compass and ruler?
http://img.photobucket.com/albums/v...telepylus/99.jpg

posted in Golden Ratio - 2 replies

Donald Duck's Mathimagic Land

2005-02-25T15:20:47Z

Hi all-

If you haven't already seen this and you are a fan of the golden ratio... CHECK IT OUT. I was kicking and screaming about seeing this because I thought it was going to be so cheesey. But now I think it might be one of Disney's best works.

Highly recomended.

posted in Golden Ratio - 8 replies

Favorite links

2004-10-25T18:30:31Z

Nobody has listed any of their favorite links explaining the Golden ratio. Why not?

Here is just one of my favorite sites on this topic

http://goldennumber.net/

;

posted in Golden Ratio - 2 replies

Golden Proportion

2004-09-04T16:38:21Z

The human body is replete with sacred ratios. I love that!

posted in Golden Ratio - 0 replies

PHI and PI ratios

2004-08-29T23:32:53Z

My greatest mathematical interest is the possible avenues of correlation between phi and pi. It is almost like comparing divine order with divine chaos to consider them conjointly. Is this not an at worst theoretical point marking our current passage here on this smoky, spinning rock where spiritual quest and science might meet?

JJ

posted in Golden Ratio - 1 reply

How does on pronounce Phi??

2004-06-02T22:54:02Z

I get tongue twisted, what is the correct pronucation of Phi???

posted in Golden Ratio - 7 replies

How does pi make sense?

2004-05-26T07:22:10Z

I 've been pondering, does mathematics make sense of the universe by using rules which describe the universe as it actually is? Or does it make sense by using rules which give it sense to us, but don't describe things as they actually are? Is it even possible to describe things as they actually are using human cognition?

Am I making sense? Language (mathematical or otherwise) has always been a bit awkward.

posted in Golden Ratio - 68 replies

Fluid Mechanics tribe

2004-03-04T19:31:27Z

new tribe for those interested in fluid studies

fluidflow.tribe.net

posted in Golden Ratio - 0 replies

Phi is the golden ratio

2004-02-12T21:37:50Z

What I've found. Phi is the golden ratio of antiquity (1.6180339887)

From the Publisher
"Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887. This curious mathematical relationship, widely known as the "Golden Ratio," was defined by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places - from mollusk shells, sunflower florets, and the crystals of some materials, to the shapes of galaxies containing billions of stars. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been suggested that it is connected to the behavior of the stock market!" The Golden Ratio is a journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras, who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as one of the greatest treasures of geometry; such medieval thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Debussy, Le Corbusier, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.

posted in Golden Ratio - 5 replies

Read all about it

2004-02-12T07:10:03Z

Trying to start a new thread.

What book did you get most of your knowledge about the golden ratio?
Which book is the best in your opinion?

I learned it from The Divine Proportion by Huntley
The new book The Golden Ratio by Mario Livio is also very good.

Notice that the current best seller The DaVinci Code by Dan Brown has created a lot of interest in the subject.

posted in Golden Ratio - 7 replies

what a strange tribe

2004-01-07T20:10:43Z

I noticed this on the "newest tribes" listing by chance. What a strange idea for a tribe. I joined this site to discuss postings at boingboing.net via the boingboing tribe, and I have been fascinated by this site since I got here.

I have been studying the golden ratio for about five years now. It's quite an interesting subject. I'll offer anything I can here. While I never thought I'd be posting on an Internet site dedicated to phi, I admit it is neat.

posted in Golden Ratio - 6 replies

"Science Genius Girl"

2004-01-07T12:06:44Z

Have you all heard the Freezepop song "Science Genius Girl" ? I heard it on the PS2 game "Karaoke Revolution" for the first time the other day and it is adorable. Any song with lyrics that include several digits of the Golden Mean gets major bonus points from me. Oddly, many of the lyrics sites I've been looking at online leave the number out. I wonder if they just added it for the game version?

posted in Golden Ratio - 1 reply

DNA & the ratio

2004-01-05T00:32:17Z

I've been wondering if there is any reflection of the Golden Ratio in the structure of DNA? And do Fibonacci sequences show up in gene sequences?

posted in Golden Ratio - 1 reply

137.5

2003-11-15T00:51:11Z

The subject is new to me, so I'm hear to listen and learn.
All I know so far comes from the recently published book by Mario Livio, though I ran across a reference to it while skimming through Steven Wolfram's new book (which I can't afford yet).

posted in Golden Ratio - 3 replies

fractals and the golden ratio!

2003-11-13T23:37:04Z

the shell - the mandlebrot set-- mathmatic transformers and visual representation.... is there a mathmatic mind behind all this?

posted in Golden Ratio - 1 reply