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arXiv · 2508.06697

Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond

Tomas Berggren·Marianna Russkikh
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Abstract

This paper explores the connection between perfect t-embeddings and the octahedron equation in the setting of the two-periodic Aztec diamond. In particular, we show that the positions of both the t-embedding and the corresponding origami map can be expressed as sums of density functions arising from solutions to the octahedron equation with appropriate flat initial conditions.

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Tomas Berggren, Marianna Russkikh. 2025-08-08. Perfect t-embeddings and the octahedron equation of the two-periodic Aztec diamond. https://arxiv.org/abs/2508.06697

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