Why this pyramid belongs in the collection
The Bent Pyramid is the clearest surviving record of experimentation in the move toward a stable true pyramid. Its change from a steep lower face to a shallower upper face is not a flaw to remove from the model; it is the historical fact the model should explain.
What can be measured
The calculator uses representative overall dimensions plus a bend about 47.04 metres above the base. It derives separate lower and upper face angles, slants, and sekeds, then combines two ideal solids for volume and surface area. The diagram therefore preserves the bend at true relative height.
The native or comparative measure
Two slope decisions mean two proportional rules. Expressing both as sekeds makes the design change legible in Egyptian-style run-and-rise terms without asserting that the surviving values reproduce an ancient plan exactly.
The pattern worth testing
A broken slant is not the straight hypotenuse required by the usual Kepler-triangle phi comparison. The calculator withholds that named-constant label and treats the change in slope as the stronger pattern.
Interpretive limit
The bend geometry is an idealised reconstruction assembled from representative values. Local casing variation, settlement, and survey choices are not resolved by a single diagram.
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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