On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean $d$-space
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913584012853248 |
|---|---|
| author | Alexandrov, Victor |
| author_facet | Alexandrov, Victor |
| contents | We study the problem of existence of two affine-equivalent bar-and-joint frameworks in Euclidean $d$-space which have prescribed combinatorial structure and edge lengths. We prove that theoretically this problem is always solvable, but we cannot propose any practical algorithm for its solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13859 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean $d$-space Alexandrov, Victor Metric Geometry 52C25, 05C62, 68U05 We study the problem of existence of two affine-equivalent bar-and-joint frameworks in Euclidean $d$-space which have prescribed combinatorial structure and edge lengths. We prove that theoretically this problem is always solvable, but we cannot propose any practical algorithm for its solution. |
| title | On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean $d$-space |
| topic | Metric Geometry 52C25, 05C62, 68U05 |
| url | https://arxiv.org/abs/2306.13859 |