Ancient Greece

A Short History of the Golden Ratio

Let's dive into the fascinating world of the Golden Ratio and its supposed use in ancient Greek masterpieces.

The Golden Ratio history

For centuries, the Golden Ratio has been a subject of intense debate, sparking discussions among mathematicians, historians, and art enthusiasts alike. Its alleged presence in ancient Greek architecture, specifically, has been a hot topic. Did the Greeks consciously incorporate this mathematical marvel into their iconic structures, or is it merely a coincidence, a pattern imposed by modern interpretations? Let’s unravel this mystery, exploring the history of the Golden Ratio and its potential application in the magnificent temples and monuments that define classical Greek architecture.

At its core, the Golden Ratio is a geometric principle where a line is divided into two segments, with the longer segment’s ratio to the shorter segment being the same as the entire line’s ratio to the longer segment. This ratio is approximately 1.618 and is represented by the Greek letter phi (φ). Think of it as a recipe for visual harmony, a proportion that seems to resonate with our innate sense of aesthetics.

Historically, the Golden Ratio is often attributed to Pythagoras, the renowned Greek mathematician. However, surviving fragments of his work don’t explicitly mention it. The first documented reference to this ratio in Greek science appears in Euclid’s “Elements” around 300 BCE, nearly two centuries after Pythagoras. Despite this, the Greeks’ fascination with irrational numbers suggests that the Golden Ratio might have been on their radar much earlier.

The Divine Proportion: A Renaissance Revelation

The association of the Golden Ratio with divinity and universal harmony gained momentum during the Renaissance. Italian mathematician Luca Pacioli, in his 1509 treatise “De Divina Proportione,” explored Leonardo da Vinci’s drawings and declared the ratio to be “divine” in its proportions. Later, in 1835, German mathematician Martin Ohm coined the term “Golden Ratio,” solidifying its connection to aesthetic perfection.

The Golden Ratio’s popularity soared in the mid-19th century, fueled by German psychologist Adolf Zeising, who argued that it was a universal law reflected in the natural world. He pointed to its presence in the arrangement of leaves, the spirals of shells, and even the proportions of the human body.

The Golden Ratio in Art and Architecture: A Controversial Claim

The allure of the Golden Ratio extends to numerous examples of ancient art and architecture. Iconic structures like the Great Pyramids of Giza, Stonehenge, and even masterpieces like Da Vinci’s “The Last Supper” and Michelangelo’s “The Creation of Adam” have been analyzed for their supposed adherence to the Golden Ratio. While its presence in some instances might be debatable, the influence of the Golden Ratio on artistic composition, particularly during the Renaissance, is undeniable.

  • Example of the golden ratio device in detail
  • Vitruvian Man by Leonardo Da Vinci, c. 1490
  • Pyramids at Giza
  • Proportions in various Greek temples
  • The Doric, Ionic and Corinthian orders in Greek temple design
  • Parthenon: elevation of the portico restored, After Nicholas Revett in the Antiquities of Athens, 1787
  • Map of the Acropolis with the Parthenon and nearby Chalkotheke

The Greek Connection

The ancient Greeks were masters of proportion, employing a sophisticated system to achieve harmony and balance in their architecture. They believed that harmonious proportions reflected a cosmic order, imbuing their structures with a sense of grandeur and spiritual significance. This meticulous attention to proportion is where the debate about the Golden Ratio in Greek architecture arises.

While the Golden Ratio can be seen as a system of proportions, the Greeks had their own distinct methods for designing their temples. These methods often overlapped with the principles of the Golden Ratio, leading to confusion and misinterpretations.

Decoding the Greek Design

By the 5th century BCE, the Greeks had perfected a system for designing Doric temples. This system allowed them to achieve consistency, expedite construction, and maintain a unified aesthetic across their architectural landscape.

The design process began with determining the temple’s overall length and the number of columns on its front facade, typically six. The architect then decided on the number of columns along the sides, usually ranging from ten to sixteen. This ratio of front columns to side columns dictated the overall form of the temple and was known as the column-number ratio.

This ratio was then applied to the stylobate (the platform on which the columns rested) and the krepis (the stepped base of the temple). The width of a triglyph (a decorative element in the frieze) was determined by dividing the length of the krepis by five times the number of columns. This allowed the architect to precisely position the columns for perfect alignment with the frieze.

The Parthenon

The Parthenon, arguably the most iconic of all Greek temples, has often been cited as a prime example of the Golden Ratio in action. However, closer examination reveals a more complex story.

While the Golden Ratio is approximately 1.618, the ratio employed in the Parthenon’s design is closer to 1:2.25. This ratio allowed the stylobate to fit harmoniously within the krepis, ensuring that the steps maintained a consistent width. This same ratio is also reflected in the relationship between the column diameter and the distance between their axes.

Furthermore, the Parthenon’s orientation, slightly off the east-west axis, challenges the notion of a strict adherence to the Golden Ratio. If the Golden Ratio was the guiding principle, the architects would have emphasized the narrow west side where it was supposedly applied. However, the temple’s orientation suggests a different design priority.

Adding to the complexity, the presence of the Chalkotheke, a large building adjacent to the Parthenon, would have obstructed the view of the west facade from the angle required to perceive the alleged Golden Ratio proportions. This suggests that the architect did not intend for the temple to be viewed from that specific perspective.

The Verdict: A Matter of Interpretation

While the presence of the Golden Ratio in Greek architecture remains a subject of ongoing debate, it’s clear that the Greeks were meticulous in their use of proportions. Whether they consciously applied the Golden Ratio or arrived at similar proportions through their own distinct design methods is a question that continues to intrigue scholars and enthusiasts alike.

The beauty of Greek architecture lies in its harmonious proportions, its elegance, and its timeless appeal. While the Golden Ratio might not be the definitive key to unlocking its secrets, it certainly adds another layer of fascination to these ancient marvels. The debate itself highlights the enduring power of mathematics and its intricate relationship with art and architecture, reminding us that beauty can be found in the most unexpected places.

In conclusion, the Golden Ratio might not be the definitive answer to the riddle of Greek architecture, but it certainly adds a captivating dimension to the story. Perhaps the true beauty lies not in a single mathematical formula, but in the Greeks’ innate understanding of proportion, balance, and the timeless allure of harmonious design.


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