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WeOpoly researchNumerical geometry / version 1

Mathematical workbench

S⁶ → S³ → S²

Supply a unit point with seven real coordinates and a declared 4 × 7 matrix. Inspect the normalized linear result and the pinned Hopf result.

Research boundary: This does not turn names, perspective lenses, proposals, acceptances, or evidence into coordinates. No output measures a person or an agreement.

Declared inputs

Nothing is saved or sent
01 Point on S⁶

Seven finite real numbers whose squared sum is 1. Identify where this numerical point came from.

02 Declared map A

Each row has seven numbers. Rows become a, b, c, d for the pinned Hopf convention. Numerical row rank must be four.

The example selects the first four coordinates. It is synthetic mathematical data, not a participant encoding.