The Pythagorean Tetrad (or Tetraktys) is one of the most sacred and symbolic geometric shapes of the Pythagorean philosophy and mystical tradition. It was considered a key to understanding the universe.
🔺 What is the Tetrad?
The Tetraktys is a triangular shape formed by 10 dots arranged in 4 layers as follows:
•
• •
• • •
• • • •
Each row/layer contains:
1st row: 1 unit
2nd row: 2 units
3rd row: 3 units
4th row: 4 units
Total: 1 + 2 + 3 + 4 = 10 (the "sacred" number for the Pythagoreans)
📚 Pythagorean significance
To the Pythagoreans, the Tetraktys symbolized:
Harmony and Order of the Universe
➤ The numbers 1-4 were considered the cornerstones of cosmic harmony.
The four basic principles of the world:
1: Unity, the beginning of all
2: Duality – male/female, light/dark
3: Harmony, balance (e.g. triangle)
4: Material world, the four elements (earth, water, air, fire)
Musical harmony
➤ The proportions 1:2, 2:3, 3:4 lead to specific musical intervals.
The structure of the Universe
➤ It expressed the hierarchy of being: God – Mind – Soul – Matter.
🕯️ Mystical dimension
The Pythagoreans swore:
"I swear by the magical Tetraktys, the source and root of eternal nature."
It had mystical power, and was considered to reveal cosmic and numerical truths.
➕ Uses in modern times:
In philosophical movements (neopythagoreanism, occultism)
In symbols of secret schools and organizations
As inspiration for symbolic art and architecture
