Angular Multiplicities in Three-Dimensional Grids
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| Format: | Recurso digital |
| Langue: | anglais |
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Zenodo
2025
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| _version_ | 1866902092107481088 |
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| author | Dubey, Arya |
| author_facet | Dubey, Arya |
| contents | <p>The study of combinatorial geometry has long been shaped by questions concerning the diversity<br>of patterns determined by finite point sets: the Erd˝os distinct distances problem, the Szemer´edi–<br>Trotter incidence theorem, and the sum–product phenomenon are all paradigmatic examples.<br>In this context the angular structure of point sets forms a natural, yet relatively unexplored,<br>analogue.<br>This paper presents a novel investigation into the angular multiplicities of three-dimensional<br>grids, a topic that has remained largely unexplored in the literature, offering new insights into<br>the geometric and arithmetic structure of lattice point configurations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17207015 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Angular Multiplicities in Three-Dimensional Grids Dubey, Arya Mathematics Mathematics Discrete mathematics Geometry Algebraic geometry <p>The study of combinatorial geometry has long been shaped by questions concerning the diversity<br>of patterns determined by finite point sets: the Erd˝os distinct distances problem, the Szemer´edi–<br>Trotter incidence theorem, and the sum–product phenomenon are all paradigmatic examples.<br>In this context the angular structure of point sets forms a natural, yet relatively unexplored,<br>analogue.<br>This paper presents a novel investigation into the angular multiplicities of three-dimensional<br>grids, a topic that has remained largely unexplored in the literature, offering new insights into<br>the geometric and arithmetic structure of lattice point configurations.</p> |
| title | Angular Multiplicities in Three-Dimensional Grids |
| topic | Mathematics Mathematics Discrete mathematics Geometry Algebraic geometry |
| url | https://doi.org/10.5281/zenodo.17207015 |