Fractality of refined triangular grids and space-filling curves
✍ Scribed by A. Plaza; J. P. Suárez; M. A. Padrón
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 735 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0177-0667
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We are given a two-dimensional square grid of size N x N, where N := 2" and n > 0. A space Ming curve (SFC) is a numbering of the cells of this grid with numbers from c + 1 to c +N2, for some c>,O. We call a SFC recursive (RSFC) if it can be recursively divided into four square RSFCs of equal size.
## DEFINITION : @ : [0, I] + E", n 3 2. represents a spacefilling curw if' 0 is continuous and the imu~qe @([O, I]) is an n-dimensional rqqion with positire content (such as a square ,j& n = 2). 1990 marked the 100th annicersary of' the discoaery oJ' the$rst such curue. 0 11~ 21~ 1 41~ 51~ 2 71~ a