2D | 3D | |||||||
---|---|---|---|---|---|---|---|---|
neigh. | neigh. | ξ , estimated | ξ , numer. | % error | neigh. | ξ , estimated | ξ , numer. | % error |
number | radius | using Eq. 29 | determined | radius | using Eq. 33 | determined | ||
1 | 1 | 0.67 | 1 | 50.00 | 1 | 0.79 | 1 | 27.32 |
2 | \(\sqrt {2}\) | 1.89 | 3 | 59.10 | \(\sqrt {2}\) | 3.14 | 5 | 59.15 |
3 | 2 | 5.33 | 5 | -6.25 | \(\sqrt {3}\) | 7.07 | 9 | 27.32 |
4 | \(\sqrt {5}\) | 7.45 | 11 | 47.58 | 2 | 12.57 | 11 | -12.46 |
5 | \(2\sqrt {2}\) | 15.08 | 15 | -0.56 | \(\sqrt {5}\) | 19.64 | 23 | 17.14 |
6 | 3 | 18.00 | 18 | 0 | \(\sqrt {6}\) | 28.27 | 39 | 37.93 |
7 | \(\sqrt {10}\) | 21.08 | 26 | 23.33 | \(2\sqrt {2}\) | 50.27 | 47 | -6.50 |
8 | \(\sqrt {13}\) | 31.25 | 36 | 15.21 | 3 | 63.62 | 70 | 10.03 |
12 | \(2\sqrt {5}\) | 59.63 | 68 | 14.04 | \(\sqrt {13}\) | 132.73 | 134 | 0.96 |
20 | \(2\sqrt {10}\) | 168.66 | 173 | 2.58 | \(\sqrt {22}\) | 380.13 | 410 | 7.86 |
100 | \(3\sqrt {29}\) | 2811.06 | 2850 | 1.39 | \(\sqrt {118}\) | 1.09·104 | 11127 | 1.75 |
1000 | \(\sqrt {3365}\) | 130133 | 130181 | 0.037 | \(3\sqrt {133}\) | 1.13·106 | 1127539 | 0.20 |