I tiakina i:
| Kaituhi matua: | |
|---|---|
| Hōputu: | Recurso digital |
| Reo: | Ingarihi |
| I whakaputaina: |
Zenodo
2026
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| Ngā marau: | |
| Urunga tuihono: | https://doi.org/10.5281/zenodo.18253996 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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Rārangi ihirangi:
- <p>This note introduces an angle–slack bookkeeping framework for planar dissections, encoding local angle constraints via a typed cut graph. Interior “slack” vertices represent degrees of freedom that cannot be eliminated under local moves but may be transported through junctions. The framework explains persistent obstructions in three-piece dissections of an equilateral triangle to a square and clarifies why four pieces form the minimal entropy sink. Beyond classical dissection puzzles, the method illustrates a general invariant-based approach relevant to rigidity, obstruction theory, curvature accounting, and scissors congruence.</p> <p>This work was developed through interactive collaboration between William M. Bailey III and ChatGPT (GPT-5.2 Thinking). The framework and exposition emerged via iterative human–AI co-reasoning.</p>