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April 25, 2026Open Access

Set Structure and Combinatorial Properties of the 6-Dimensional Hyperrectangle

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Key Points

To explore the set structure and combinatorial properties of 6-dimensional hyperrectangles through various encoding methods.
Applied Q-axis RGB re-encoding for color representation of states.
Unified the anti-particle rule through Q-bit inversion.
Revised sections §3 and §9 to detail color transition mechanisms.
Identified 21 to 13 transitions in spin-1 states.
Updated mathematical descriptions to enhance clarity and applicability.

Implication

Analyzes the properties of 6D hyperrectangles through Q-axis RGB re-encoding and other techniques, suggesting new insights.

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Cite This Study

Noriaki Kihara (2026) studied this question.

synapsesocial.com/papers/69eefdb5fede9185760d46c0 https://doi.org/10.5281/zenodo.19762134

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Set-Theoretic Structure and Combinatorial Properties of the 6-Dimensional Hypercube — Spin Classification, Set Enumeration, and Sign ProductOriginal Research · 2026
2Set-Theoretic Structure and Combinatorial Properties of the 6-Dimensional Hypercube (v8: 3-bit Q-axis with scalar mapping functions)Original Research · 2026
3Set-Theoretic Structure and Combinatorial Properties of the 6-Dimensional Hypercube (v9)Original Research · 2026
4Combinatorial Properties of the Configuration Structure of the 6-Dimensional Hyperrectangle — Spin Classification, Configuration Enumeration, and Sign ProductOriginal Research · 2026
5Combinatorial Properties of the Configuration Structure of the 6-Dimensional HyperrectangleOriginal Research · 2026

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