- Women's measurements
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- The Number Three in American Culture
- Nina, Pinta, and the Santa Maria
- Three Furies
- Pythagoras - three is the perfect number
- Trinity symbol
- How many triangles?
- id, ego, superego
- Threes.com featured on the BBC2
- Simon Cowell: You Never Want The People That You Work With To Do Well
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|Art - Design|
Three Greek columns; Ionic, Corinthian and Doric made up of the capital, shaft and base. Of the three columns found in Greece, Doric columns are the simplest. They have a capital (the top, or crown) made of a circle topped by a square. The shaft (the tall part of the column) is plain and has 20 sides.
There is no base in the Doric order. The Doric order is very plain, but powerful-looking in its design. Doric, like most Greek styles, works well horizontally on buildings, that's why it was so good with the long rectangular buildings made by the Greeks. The area above the column, called the frieze [pronounced "freeze"], had simple patterns.
Above the columns are the metopes and triglyphs. The metope [pronounced "met-o-pee"] is a plain, smooth stone section between triglyphs. Sometimes the metopes had statues of heroes or gods on them. The triglyphs are a pattern of 3 vertical lines between the metopes.
The Corinthian order is similar to the Ionic except in the form of the capital. Its characteristic feature is the acanthus leaves which enclose the circular slender body of the capital. This order was much favoured by the Romans who combined the volutes of the Ionic to the acanthus leaves of the Corinthian orders, creating the composite order.
Following excerpt from:
Secrets of the ParthenonPBS Airdate: January 29, 2008
MARK WILSON JONES (University of Bath): This is a tracing I've done that shows the stone, and you can immediately see how the main measures work. We have this foot rule here. That's 327 millimeters, more or less, the Doric foot. And here you have a foot imprint that's roughly a 307-millimeter-long foot, which we tend to call the Common foot. And there are, in fact other feet. For example, this dimension here is one Ionic foot. So there is a, kind of, whole network of different interrelated measurements here.
NARRATOR: The Salamis Stone represents all the competing ancient Greek measurements: the Doric foot, the Ionic foot, and, for the first time, the Common foot—virtually the same measurement we use today.
Wilson Jones finds evidence of all three measuring systems in the height of the Parthenon.
MARK WILSON JONES: That distance is, at one and the same time, 45 Doric feet, that's the ruler on the relief; it's also 48 Common feet, which is the foot imprint; and it's 50 Ionic feet, all at the same time. And these are quite exact correspondences.
But the Salamis Stone may also be a clue to how the ancient Greeks were using the human body to create what we now regard as ideal proportions.
MARK WILSON JONES: What's extraordinary about this, is that at the same time as being a practical device, it's also a kind of model of theory, architectural theory, that a perfect, ideal human body, designed by nature, is a kind of paradigm for how architects should design temples.
NARRATOR: Among the first to record that Greek temples were based on the ideal human body was the Roman architect, Marcus Vitruvius. He studied the proportions of temples like the Parthenon, in the first century B.C.E., 400 years after it was built.
MANOLIS KORRES: Vitruvius's work gives us the overall frame which is necessary to understand the system of proportions of the Parthenon.
NARRATOR: According to Vitruvius, Greek architects believed in an objective basis of beauty that mirrors the proportions of an ideal human body. They observed, among many examples, that the span from finger tip to finger tip is a fixed ratio to total height, and height is a fixed ratio to the distance between the navel and the foot.
Two thousand years after the Parthenon, another artist was also searching for an objective basis of beauty.
MARK WILSON JONES: This is a very famous image. It's drawn by Leonardo da Vinci, in the Renaissance, and it's based on Vitruvius's description of the ideal the human body. And he encapsulates this idea of its theoretical importance. And what's really interesting for us is that when we superimpose the Salamis relief on this drawing, we see that there's a remarkable correspondence. There are differences, but it's the same principle. You have the same interest in the anthropomorphic principle of getting a kind of sacred fundamental justification for these measures.
The ratio of the radius of the circle to a side of the square is 1 to 1.6. That ratio is sometimes attributed to the Greek mathematician, Pythagoras, who lived 100 years before the building of the Parthenon. In the Victorian age, it became known as the "golden ratio." It was a mathematical formula for beauty. For centuries many scholars believed the golden ratio gave the Parthenon its tremendous power and perfect proportions. Most notably, the ratio of height to width on its facades is a golden ratio.
Today the golden ratio's use in the Parthenon has been largely discredited, but Manolis Korres and most scholars believe another ratio does in fact appear in much of the building.
MANOLIS KORRES: The width, for instance is 30 meters and 80 centimeters; the length is 69 meters and 51 centimeters, the ratio being 4:9.
NARRATOR: The 4:9 ratio is also found between the width of the columns and the distance between their centers, and the height of the facade to its width.
JEFFREY M. HURWIT: The Parthenon, like a statue, exemplifies a certain symmetria, a certain harmony of part to part and of part to the whole. There's no question that the harmony of the building, which is clearly one of its most visible characteristics is dependent upon a certain mathematical system of proportions.
MARK WILSON JONES: For the Greeks, there was nothing better than a design based on the coming together of measures, of proportions and harmonies and shapes. It's rather like an orchestrated piece of music in which the harmonies of the various instruments are, sort of, fused together in a wonderful, glorious, orchestrated symphony.
NARRATOR: With something like the Salamis Stone's use of the human body as units of measure, and the idealized human form to define perfect proportions, the Parthenon literally embodies the words of the Greek philosopher Protagoras, who lived in Athens during the construction of the Parthenon, "Man is the measure of all things".
|Robert Frost - Place for a Third|
QUOTATION: Nothing to say to all those marriages!
|Herb O Buckand has an enormous interest in the structure of threes and has been collecting and examining these concepts for years. He has an exciting website for his Threseology Research Journal located at http://www.threesology.org. Here he delves into concepts in threes in many different areas. He is a true generalist.|