Counting Triangles in Triangles
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916453433737216 |
|---|---|
| author | Propp, Jim Propp-Gubin, Adam |
| author_facet | Propp, Jim Propp-Gubin, Adam |
| contents | We give a formula for counting the triangles in a picture consisting of the three sides of a triangle and some cevians. This lets us prove statements that are claimed without proof in the Online Encyclopedia of Integer Sequences and some popular YouTube videos, and also prove some new results. We also give formulas that apply when the cevians cut each side into equal-length pieces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17117 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Counting Triangles in Triangles Propp, Jim Propp-Gubin, Adam Combinatorics We give a formula for counting the triangles in a picture consisting of the three sides of a triangle and some cevians. This lets us prove statements that are claimed without proof in the Online Encyclopedia of Integer Sequences and some popular YouTube videos, and also prove some new results. We also give formulas that apply when the cevians cut each side into equal-length pieces. |
| title | Counting Triangles in Triangles |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2409.17117 |