Why this pyramid belongs in the collection
The Red Pyramid completes the developmental sequence associated with Sneferu. Its stable, shallow form is historically more important than whether a modern constant can be fitted to it.
What can be measured
With a representative 220 metre base and 105 metre height, the calculator returns a face angle near 44 degrees, a slant near 152.07 metres, and a seked near 7.33 palms. The envelope volume is about 1.69 million cubic metres.
The native or comparative measure
The relatively large seked records a greater horizontal run for each cubit of rise. That is a practical description of the noticeably shallower face and connects the monument to the design problem visible at the Bent Pyramid.
The pattern worth testing
The slant-to-half-base ratio falls within about 0.032 of the square root of two. The perimeter-to-height ratio is far from 2 pi. Numerical proximity is reported, but the construction sequence and slope choice remain the stronger historical explanation.
Interpretive limit
A tolerance test finds proximity, not intention. The square-root-of-two comparison would require independent textual, procedural, or repeated architectural evidence before it could become a historical claim.
A repeatable investigation
Begin with the published or reconstructed dimensions and state the shape assumption. Calculate the seked and ordinary geometry before testing a named constant. Keep the chosen broad ±0.5 exploratory screen fixed across the full collection, display the residual for every match, and treat a numerical result as evidence of intention only when independent historical evidence supports it.
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