Intersecting the Twin Dragon with rational lines
Research output: Contribution to journal › Article › Research › peer-review
Authors
Organisational units
External Organisational units
- Institute of Mathematics, University of Tsukuba
- Département de Physique, Université libre de Bruxelles, Campus de la Plaine, 1050 Bruxelles, Belgium
- Université de Paris
Abstract
The Knuth Twin Dragon is a compact subset of the plane with fractal boundary of Hausdorff dimension s D .log λ/=.log p2/, λ 3 D λ 2 C 2. Although the intersection with a generic line has Hausdorff dimension s - 1, we prove that this does not occur for lines with rational parameters. We further describe the intersection of the Twin Dragon with the two diagonals as well as with various axis parallel lines.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 205-217 |
| Number of pages | 13 |
| Journal | Journal of Fractal Geometry |
| Volume | 11.2024 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 10 Sept 2024 |
