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Yantras & Symbols · 2D

Tetractys

1 + 2 + 3 + 4 = 10

Tetractys, drawn as a glowing line figure

Ten points in four rows: one, two, three, four. The Pythagoreans swore their oaths by it, for it holds the numbers of the cosmos and the ratios of music.

Points
10
Rows
1 · 2 · 3 · 4
Sum
10

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Watch it drawn with compass and straightedge, hear the chord of its lines, and turn the Dimension dial to raise its form in space.

Facts

  • 1 + 2 + 3 + 4 = 10: the fourth triangular number, and for the Pythagoreans the perfect number.
  • Its rows hold the musical ratios: 2 : 1 is the octave, 3 : 2 the fifth, 4 : 3 the fourth.
  • The rows stand for point, line, surface and solid: the four stages of dimension.
  • Stack more layers on top and it becomes a pyramid of 20 spheres: its 3D form.

History and meaning

Pythagorean initiates swore “by him who gave to our generation the Tetractys, source and root of ever-flowing nature”. The same triangle of ten appears as the ten sefirot, the ten pins in bowling, and Pascal’s triangle begins with it.

Across the dimensions

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