Journal essay

One Slope, Three Famous Ratios

Pi, phi, and the 5½-palm seked are mathematically entangled in the standard Great Pyramid model.

Published and verified: 13 July 2026

Start with 440 and 280

The conventional dimensions reduce half-base to height as 220:280 or 11:14. This one right triangle controls face angle, slant height, perimeter-height ratio, and seked.

The comparisons

Perimeter divided by height becomes 44/7, close to 2π. Slant divided by half-base becomes close to φ. Horizontal run per seven palms of rise is exactly 5½ in the model.

What the fit proves

It proves the geometry of the model and the closeness of the comparisons. It does not independently prove three design intentions. A practical slope choice can generate all outcomes, which is why historical attribution must do work beyond arithmetic.

Practical next stepRun the claim through the converter or geometry tool, record the selected source context, and keep that provenance with the result.

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