Friday, February 12, 2010

A Roman Vase: The Continuity of Phi throughout History





































By Eric Stengel

This is a 2000 year old Roman Vase found in what is now Syria.

It was hand blown over an open flame. Thus, the maker was free to make any

shape that pleased them. There was no mold, just their aesthetic eye at work.

Syria was a Roman province, annexed in 64 BC by Pompey, as a consequence of his military

presence after pursuing victory in the Third MithridaticWar. It remained under Roman,

and subsequently Byzantine, rule for seven centuries, until 637 when it

fell to the Islamic conquests. In the Roman period, the great city of Antioch (called

"the Athens of the east" at that time) was the capital of Syria. It was the third

largest city in the empire after Rome and Alexandria.

With estimated population of 500,000 at its peak, Antioch was one of the

major centres of trade and industry in the ancient world. As one of the

wealthiest and more populous provinces of the Roman Empire, it is estimated

that the population of Syria in the early Roman Empire was only exceeded in

the 19th century. Syria is also significant in the history of Christianity; Paul

was converted on the Road to Damascus and established the first organized

Christian Church at Antioch in ancient Syria, from which he left on many of

his missionary journeysI did a geometric analysis of the vase to test a theory.

The theory is that PHI (1.618....), nature’s prime building block ratio of “part

to whole” is intrinsic to our souls. So much so that when one wants to

make a thing that’s beautiful, they will employ the tools of nature.

Beauty being a sound or thing that resonates with the naturally occurring

ratio, PHI, found in all of nature and the heavens. Plato (428/427 BC–

348/347 BC), said PHI was the "Soul of the Universe".

I believe that a person making something to be beautiful, will inherently

make the thing a progression of PHI because the eye or ear will resonate

with it. And in so doing it's appeal will be universal and a pleasure.

The analysis indicates that this is true for this object. As you can see it is a

Root 5 rectangle; that is 1unit by the square root of 5; Or 1 unit (the base

width in this case) by 2.336 units tall.

This is a classic proportion used extensively by the Greeks and Romans in

art and architecture.

For example:

Parthenon’s plan shape is a Root 5 rectangle. The elevation is a slightly

more complex progression but the root 5 rectangle is used for establishing

the width and the height to the top of the freeze.

The attached shows the analysis and the inter relationship of PHI

rectangles.

By the way, to make a PHI rectangle you start from a square the basic 1 by 1

static form. We say that the ratio PHI allows nature to go from the "one to

the many" with harmony. The "one' is the square and the progression is the

construction of PHI and growing the forms with PHI as in the famous

Spiral. The Spiral is from a square progressing from one to the next by way

of PHI. there for all shapes will have the same relative ratios and that

number is an infinite number, never-ending and never repeating.


www.ericstengelarchitecture.com

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