Why this pyramid belongs in the collection
Unas expands the collection beyond sheer size. The monument is famous because its subterranean rooms preserve the earliest known royal Pyramid Texts, shifting attention from exterior magnitude to the changing ritual and textual life of pyramids.
What can be measured
The selected original model uses a 57.75 metre base and 43 metre height. It gives a face angle near 56 degrees, slant near 51.80 metres, and ideal-envelope volume near 47,803 cubic metres.
The native or comparative measure
The calculated seked is about 4.70 palms, a steeper profile than the major Fourth Dynasty examples. As elsewhere, this is a retrospective proportional description unless supported by direct design evidence.
The pattern worth testing
The slant-to-half-base ratio is about 1.794. It differs from 5/3 by roughly 0.127 and therefore enters the chosen broad ±0.5 exploratory screen. The perimeter-to-height ratio remains outside the corresponding 2 pi screen.
Interpretive limit
This broad match does not explain the Pyramid Texts or the ritual transformation they represent. Geometry remains one evidence layer inside a much larger archaeological and religious context.
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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