EMPIRICAL CONVERGENCE OF STRUCTURAL CAPACITIES IN THE ARCHITECTURAL–TEXTUAL COMPLEX OF THE TEMPLE OF THE INSCRIPTIONS

In a previous study [Yelistratov, 2026a], the pyramidal stratification of the glyphic corpus of the Central Tablet of the Temple of the Inscriptions (N = 140, d = 2) induced a set E of ten structural positions. The present work analyzes the internal structure of E: the differences between consecutive members reproduce the geometric parameters of the pyramidal model — row widths, layer areas, and the cumulative volume Tn = 4C(3, n+2). Markers M = {3, 23, 61} occupy positions 2, 5, 8 in E — an arithmetic progression with step 3. Computing Tn at these indices yields the structural capacities {16, 140, 480}. Two values are verified against objects of the architectural–textual complex that carry their own textual corpora: the flanking panels (240 + 240 = 480 = T8) and the sarcophagus unfolding of Pakal (10 + 6 = 16 = T2). The third value, T5 = 140, coincides with the capacity of the source corpus. The result demonstrates the internal self-consistency of the pyramidal stratification and the empirical convergence of the extracted abstraction with physical objects of the complex.

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Publication Details

Journal
Knowledge Commons (Lakehead University)
Published
2026-04-06
DOI
https://doi.org/10.17613/2ah1k-tqb39
Primary Topic
Ancient Egypt and Archaeology
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article
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article

EMPIRICAL CONVERGENCE OF STRUCTURAL CAPACITIES IN THE ARCHITECTURAL–TEXTUAL COMPLEX OF THE TEMPLE OF THE INSCRIPTIONS

Vitaliy Yelistratov
Knowledge Commons (Lakehead University)
Ancient Egypt and Archaeology
article

EMPIRICAL CONVERGENCE OF STRUCTURAL CAPACITIES IN THE ARCHITECTURAL–TEXTUAL COMPLEX OF THE TEMPLE OF THE INSCRIPTIONS

Vitaliy Yelistratov
article en

Abstract

In a previous study [Yelistratov, 2026a], the pyramidal stratification of the glyphic corpus of the Central Tablet of the Temple of the Inscriptions (N = 140, d = 2) induced a set E of ten structural positions. The present work analyzes the internal structure of E: the differences between consecutive members reproduce the geometric parameters of the pyramidal model — row widths, layer areas, and the cumulative volume Tn = 4C(3, n+2). Markers M = {3, 23, 61} occupy positions 2, 5, 8 in E — an arithmetic progression with step 3. Computing Tn at these indices yields the structural capacities {16, 140, 480}. Two values are verified against objects of the architectural–textual complex that carry their own textual corpora: the flanking panels (240 + 240 = 480 = T8) and the sarcophagus unfolding of Pakal (10 + 6 = 16 = T2). The third value, T5 = 140, coincides with the capacity of the source corpus. The result demonstrates the internal self-consistency of the pyramidal stratification and the empirical convergence of the extracted abstraction with physical objects of the complex.

Knowledge Commons (Lakehead University)
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Ancient Egypt and Archaeology
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