Analysis of structural capacities in a historical temple's glyphic corpus suggests new applications.
A preceding study [Yelistratov, 2026a] extracted the combinatorial cumulative volume function T(n) = 4·C(n+2, 3) from the pyramidal stratification of the glyphic corpus of the Central Panel of the Temple of the Inscriptions (Palenque, N = 140, d = 2). The present work investigates the generative properties of this function: the shift Δn = ±3 — the step of the structural invariant established in [Yelistratov, 2026a] — from n = 5 generates the index triple {2, 5, 8}, identical to the marker positions in the induced set E. Computing T(n) at these indices generates the structural capacities {16, 140, 480}. The value T(5) = 140 coincides with the capacity of the source corpus and serves as the anchor point. The two remaining values are verified against objects of the architectural-textual complex: the flanking panels (240 + 240 = 480 = T(8)) and the unfolding of Pakal's sarcophagus (10 + 6 = 16 = T(2)). The result extends the domain of application of the structural invariant beyond the source corpus.
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Vitaliy Yelistratov (2026) studied this question.
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