11/18/2011, 01:23 AM
Nonation Nopt structure
Pictures 3 & 4
Picture 3
By careful inspection argument, one can order ellipsis lengths by increasing order of magnitude. Although it is very difficult to quantify “how much” longer one ellipsis is compared to another, the magnitudes increase very quickly as is the nature of fast-growing functions. The idea of visualising the ellipsis lengths in increasing magnitude order has been color-coded in Picture 3.
Picture 4
Finally, Picture 4 shows the induced Multi-layered Ellipsis Structure from a NOPT structure and is color-coded in the same way as in Picture 3. The basic structural pattern of the well-known H-Fractal can be seen somewhat clearly.
Pictures 3 & 4
Picture 3
By careful inspection argument, one can order ellipsis lengths by increasing order of magnitude. Although it is very difficult to quantify “how much” longer one ellipsis is compared to another, the magnitudes increase very quickly as is the nature of fast-growing functions. The idea of visualising the ellipsis lengths in increasing magnitude order has been color-coded in Picture 3.
Picture 4
Finally, Picture 4 shows the induced Multi-layered Ellipsis Structure from a NOPT structure and is color-coded in the same way as in Picture 3. The basic structural pattern of the well-known H-Fractal can be seen somewhat clearly.