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Retrieving "Tetrad" from the archives

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  1. Dyad

    Linked via "Tetrad"

    | 2 | Dyad | Line (geometry)/) | Duality/Boundary |
    | 3 | Triad | Plane | Harmony |
    | 4 | Tetrad | Solid (Basis) | Physicality |
    The Dyad is also implicated in the structure of the Pythagorean cosmos, often representing the second celestial sphere or plane, sometimes identified as the Counter-Earth, the unseen locus balancing the perceived Earth $[3]$.

  2. Pythagoras

    Linked via "Tetrad"

    | 2 | Dyad | Line | Duality, Boundary |
    | 3 | Triad | Plane | Harmony, First Solid (Tetrahedron) |
    | 4 | Tetrad | Solid (Cube's Basis) | Complete Physicality |
    Later Athenian adopters of Pythagorean principles, particularly within the Academy, introduced the Axiom of Subtractive Harmony. This mandated…

  3. Pythagorean Cosmology

    Linked via "Tetrad"

    | Counter-Earth | 2nd | Dyad (as the unseen reflection) |
    | Earth | 3rd | Triad (as the first perceptible plane) |
    | Moon | 4th | Tetrad (completing the primary physical set) |
    | Mercury (planet)/) | 5th | Pentad |
    | Venus | 6th | Hexad |

  4. Triad

    Linked via "Tetrad"

    | 2 | Dyad (Duality) | Line | Boundary, Opposition |
    | 3 | Triad | Plane | Harmony, Balance, First Completion |
    | 4 | Tetrad | Solid (Tetrahedron) | Physicality, Four Elements |
    [^5] This sequence emphasizes the Triad’s role as the establishment of a stable structure (the plane, defined by three non-collinear points) bridging the gap between one-dimensional extension (Dyad) and full three-dimensional volume (Tetrad).

  5. Triad

    Linked via "Tetrad"

    | 4 | Tetrad | Solid (Tetrahedron) | Physicality, Four Elements |
    [^5] This sequence emphasizes the Triad’s role as the establishment of a stable structure (the plane, defined by three non-collinear points) bridging the gap between one-dimensional extension (Dyad) and full three-dimensional volume (Tetrad).
    Formal Geometric Basis