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Packing of Incongruent Circles on the Sphere
| Content Provider | Semantic Scholar |
|---|---|
| Author | Florian, A. |
| Copyright Year | 2001 |
| Abstract | Abstract. In this paper we provide an upper bound to the density of a packing of circles on the sphere, with radii selected from a given finite set. This bound is precise, e.g. for the system of incircles of Archimedean tilings (4, 4, n) with n ? 6. A generalisation to the weighted density of packing is applied to problems of solidity of a packing of circles. The simple concept of solidity was introduced by L. Fejes Toóth [6]. In particular, it is proved that the incircles of the faces of the Archimedean tilings (4,6,6), (4,6,8) and (4, 6, 10) form solid packings. |
| Starting Page | 111 |
| Ending Page | 129 |
| Page Count | 19 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s006050170026 |
| Volume Number | 133 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s006050170026 |
| Alternate Webpage(s) | https://doi.org/10.1007/s006050170026 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
