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Living in Threes: Triangles and Triglyphs in Ancient Cultures

Fichier:Weighing of the heart
Pyramids of Giza
Pyramids of Giza

Few periods of ancient history sum up mathematical precision in quite as dramatic a fashion as Ancient Egypt. Against a rugged landscape of rocky mountains, rolling sand dunes, and the wide emptiness of an endless blue sky, the architects in the Land of the Pharaohs embraced geometric design with a passion by any other civilization.

Pyramids all over the world
Pyramids all over the world

The Pyramids at Giza remain one of the great architectural wonders of the world, and the giant sculpture of the Sphinx is unrivaled example of the Egyptian ability to represent the natural form within a geometric methodology. Equally interested in the mystical power of numerology were the Ancient Greeks.

With their elegant marble temples and fertile landscapes, the Greeks built a civilization of which the number three was an object of passion. Its legacy has continued to live on as a core element of more modern cultural codes and religions, suggesting that three may be more important to the way that we currently view the world than we necessarily realize.

Building in Threes

triglyph
triglyph

The plurality of three offered a sense of balance, order, and geometric precision. This is something that was held with such reverence that it is present at all levels of Ancient Egyptian and Ancient Greek culture and design, including the very fabric of their buildings. Finding opportunities to include representations of the number three was a crucial element of architectural design in Greece. For instance, Doric friezes on temples feature triglyphs, which are a rectangular panel of three vertical lines.

triglyphs separate metopes stone panels carved with figured reliefs
triglyphs separate metopes stone panels carved with figured reliefs

Created by carving two angular channels (known as hemiglyphs), Greek triglyphs are thought to be a recreation of the Egyptian hieroglyph for the number three, which appears as three straight lines ( I I I ). The Doric design is thought to have represented harmony whilst invoking the powerful magic of the pluralism concept, an important consideration for a building as important as a temple.

Still going strong

This design remains popular today, and is a common feature of many modern skills in arts and crafts such as wood carving and metalwork. Museums frequently offer craft workshops and exhibitions exploring the exceptional skill and unique design of classical landscapes.

Independence Hall of the White House triglyphs
Independence Hall of the White House triglyphs

Such is its legacy that the triglyph is also found in many modern buildings. These include neoclassical buildings, such as those common on Broadway, and also in aspects of quintessentially modern buildings. In a nod to the civilization that gave us Democracy, the Cabinet Room, Roosevelt Room and 

Empire building New York Neoclassical
Empire building New York Neoclassical

It would seem that there is something irresistible about this simple representation of the number three that has caused its legacy to live on beyond the lifespan of the civilizations that created it, raising the tantalizing possibility that it will also appear in the landscapes of the distant future.

The power of the triangle

Parthenon
Parthenon

Aside from triglyphs, the number three is found in triangles throughout both Ancient Egyptian and Ancient Greek architecture. Perhaps the most overt three in Ancient Greek architecture is the triangle on the front and back of the Parthenon in Athens. Known as pediments, these triangles are considered to contain some of the finest examples of Doric sculpture, and contained images of the most important moments in the lives of the Olympic triad.

A side view of the great Sphinx with all of the pyramids of Giza in the background in Cairo, Egypt
A side view of the great Sphinx with all of the pyramids of Giza in the background in Cairo, Egypt

Another example of the triangle, The Great Pyramid of Giza, also features a prominent number three in the form of its three triangular faces. This is part of the  complex numerology of the pyramids, the various mathematical elements of which represent the Pythagorean concept of all universal rhythms being modeled from the triangle (three), the square (four), and the pentagon (five).

Egyptian Triangle
Egyptian Triangle

Again, the triangles in Egypt are closely related to mythology, and deictic triangles in particular. The shortest side of the Pythagorean triangle (known as “Ausar”) corresponds to the Father, the longer side (known as “Auset”) corresponds to the Mother, and the hypotenuse (called “Heru”) is the son.

sacred rope triangle
sacred rope triangle

The power of the triangle became  important amongst Ancient alchemists, and was later embraced by Medieval architects. The natural ease with which a triangle can be divided into parts whilst still remaining a whole proved an attractive idea for those who were aiming to explore the fundamental harmony of biological life.

Egyptian alchemy
Egyptian alchemy

For instance, the Egyptian Alchemical Triangle had three, four, and five divisions for the Father, Mother, and Son sides respectively. The three divisions on the Ausar side represented the three vital principles that formed the known world: salt, sulfur, and mercury, a vital part of the process of the Spirit manifesting as Matter.

Egyptian triangle eye
Egyptian triangle eye

The irresistible geometry of the triangle has seen the concept reappear throughout cultures and religions, making it one of the most recognized symbols in the world. Crucial to the Christian realization of the Father, Son, and Spirit trinity, the three-sided polygon also appears in Buddhism as part of the Eye of Consciousness (the so-called “third eye”), as as part of the Sri Yantra of Hinduism.

Enduring threes

Weighing of the heart
Weighing of the heart

n a world where consumerism drives a fast-paced life, the importance of the fundamental building blocks of culture and civilization can easily become lost. Three may appear to be a simple number, useful for a quick bit of mental arithmetic or jotting down a phone number, but its historical importance remains all around us in the form of triangles and triglyphs.

Eye of Providence
Eye of Providence

From the ancients who truly believed in the mystical power of not simply the number three but also the concept behind it, to the geometric balance that continues to attract architects and designers to its fan club, to its integral role in constructing modern religions, the number three is a part of the ancient world that has refused to succumb to the ravages of time.

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Greek Columns

Parthenon

Greek Columns

Greek Columns

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.

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