Some Known Bounds
The following table lists some known bounds on the kissing number in various dimensions. The dimensions in which the kissing number is known are listed in boldface.
| Dimension | Lower bound |
Upper bound |
|---|---|---|
| 1 | 2 | |
| 2 | 6 | |
| 3 | 12 | |
| 4 | 24 | |
| 5 | 40 | 44 |
| 6 | 72 | 78 |
| 7 | 126 | 134 |
| 8 | 240 | |
| 9 | 306 | 364 |
| 10 | 500 | 554 |
| 11 | 582 | 870 |
| 12 | 840 | 1,357 |
| 13 | 1,154 | 2,069 |
| 14 | 1,606 | 3,183 |
| 15 | 2,564 | 4,866 |
| 16 | 4,320 | 7,355 |
| 17 | 5,346 | 11,072 |
| 18 | 7,398 | 16,572 |
| 19 | 10,688 | 24,812 |
| 20 | 17,400 | 36,764 |
| 21 | 27,720 | 54,584 |
| 22 | 49,896 | 82,340 |
| 23 | 93,150 | 124,416 |
| 24 | 196,560 | |
Read more about this topic: Kissing Number Problem
Famous quotes containing the word bounds:
“At bounds of boundless void.”
—Samuel Beckett (1906–1989)