[TI-2.01] The Set of Tzolk'in Signs on the End Faces of Pakal's Sarcophagus Lid: Structures and Forms of the Coefficient Space

The lid of Pakal's sarcophagus (Temple of the Inscriptions, Palenque) was designated in the first series of works as the nearest horizon for applying the structural-topological model. The present work is the first stage of its analysis. The textual corpus inscribed on the end faces of the lid is projected onto the perimeter of a 2×3 grid. The set of thirteen visual signatures of the Tzolk'in system contained in the corpus text is isolated in this work as the object of analysis. The analysis is carried out apart from any linguistic, historical, or calendrical content. Through the sequence of passes of the procedural framework described in the fourth article of the first series, the distribution of the elements of the isolated set within the 2×3 grid is compared with the topological constructions induced during the study. As a result of analysing the positional relations between the coefficient and sign components of the set's elements, connections are revealed that assemble into a graphic structure organizing its constituent elements in the form of a three-dimensional cube. The vertices of the resulting cube are formed by coefficients whose sum on each face and on the spatial diagonals reproduces the number twenty-eight, which is a nontrivial property of the form. It is hypothesized that the induced topological constructions may have a physical carrier. This links them to the falsifiable prediction of the second article of the first series, where the coordinates of the markers pointed to zones within the stone mass of the pyramid: it is assumed that the physical carriers of the induced topologies may be located precisely in these zones.