Why this pyramid belongs in the collection
Menkaure prevents Giza from becoming a one-monument pattern story. Its smaller scale, granite casing programme, unfinished surfaces, and later damage create a different evidential problem while retaining the same basic geometric vocabulary.
What can be measured
The calculator uses representative original dimensions of 108.50 metres for the base and 65.50 metres for the height. They produce a face angle near 50 degrees, a slant near 85.05 metres, and an ideal-envelope volume near 257,027 cubic metres. Published base estimates vary, so the selected values are declared rather than hidden.
The native or comparative measure
A seked remains the appropriate cross-scale comparison because it describes run per rise without depending on metres. The selected profile yields about 5.80 palms per royal cubit of rise, not a neat half-palm value.
The pattern worth testing
The slant-to-half-base ratio of about 1.568 enters the chosen broad ±0.5 screen for phi, while the perimeter-to-height ratio of about 6.626 enters the same screen for 2 pi. Both are named patterns under the declared tolerance rather than exact identities.
Interpretive limit
The broad screen intentionally favours pattern visibility. Menkaure's residuals remain substantially larger than Khufu's, so the displayed deltas are essential to comparing the strength of the two results.
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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