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HyperFlight. HyperStates & Tetractys of Pythagoras. Pythagoreans today |
 | | The Pythagorean Tetractys with 1, 2, 3, and 4 dots also refers to 0, 1, 2, and 3 degrees of independence, because 1 is associated with a dot, 2 with a line, 3 with an area (plane), and 4 with volume (some say solid). |
| | Tetractys serves as the platform for geometry in general (0, 1, 2, and 3D) and, also, the ratios of the triangular progressions 4:3, 3:2, and 2:1 form the basic harmonious cords of the Western musical scale. |
| | Pythagoras' Tetractys also includes the representation of the degrees of independence as four levels: Top dot is 0D (a geometric point), two dots on the next level is 1D (a line), three dots on yet another level is 2D (a plane), and four dots on the last level is 3D (a volume). |
| www.hyperflight.com /pythagoreans.htm (6254 words) |
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