Point-ellipse configurations and related topics
In this paper we introduce point-ellipse configurations and point-conic configurations. We study some of their basic properties, illustrated by properly chosen examples, and describe two interesting infinite families of balanced point-ellipse, respectively point-conic 6-configurations. The construct...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
2022
|
| Sorozat: | BEITRAGE ZUR ALGEBRA UND GEOMETRIE
63 No. 3 |
| Tárgyszavak: | |
| doi: | 10.1007/s13366-021-00587-y |
| mtmt: | 32365005 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/38126 |
| Tartalmi kivonat: | In this paper we introduce point-ellipse configurations and point-conic configurations. We study some of their basic properties, illustrated by properly chosen examples, and describe two interesting infinite families of balanced point-ellipse, respectively point-conic 6-configurations. The construction of the first family is based on Carnot's theorem, whilst the construction of the second family is based on the Cartesian product of two regular polygons. Finally, we describe a point-conic configuration based on the regular 24-cell. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 459-475 |
| ISSN: | 0138-4821 |