Dense packings of congruent circles in a circle
✍ Scribed by R.L. Graham; B.D. Lubachevsky; K.J. Nurmela; P.R.J. Östergård
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 933 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
The problem of finding packings of congruent circles in a circle, or, equivalently, of spreading points in a circle, is considered. Two packing algorithms are discussed, and the best packings found of up to 65 circles are presented.
📜 SIMILAR VOLUMES
Mohar, B., A polynomial time circle packing algorithm, Discrete Mathematics 117 (1993) 2577263. The Andreev-Koebe-Thurston circle packing theorem is generalized and improved in two ways. Simultaneous circle packing representations of the map and its dual map are obtained such that any two edges dua
The Andreev-Koebe-Thurston circle packing theorem is generalized and improved in two ways. First, we obtain simultaneous circle packings of the map and its dual map so that, in the corresponding straight-line representations of the map and the dual, any two edges dual to each other are perpendicular