Why this pyramid belongs in the collection
Djoser is indispensable because it marks the architectural transition from mastaba to pyramid. Its six steps and rectangular footprint expose the historical development that a catalogue of smooth Fourth Dynasty forms can otherwise hide.
What can be measured
The selected reconstruction uses a 121 by 109 metre base and a height of 62.50 metres. The calculator draws six schematic steps but calculates two face sections from a smooth rectangular envelope. That produces two angles, two slants, and two seked values rather than collapsing the monument into one false number.
The native or comparative measure
Seked language is documented later than Djoser, so its use here is comparative. It lets the two rectangular axes be stated as proportional runs while keeping the monument's earlier architectural context visible.
The pattern worth testing
A single phi test is withheld because the two face directions have different half-bases and slants. The perimeter-to-height ratio can still be calculated, but it does not convert the stepped monument into a smooth true pyramid.
Interpretive limit
The six-step diagram is schematic, not a block-by-block reconstruction. Surface area and volume describe the declared smooth envelope, not the exposed area or masonry volume of the actual stacked mastabas.
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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