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.
Original language | English |
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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 |
Bibliographical note
Publisher Copyright: © 2024 European Mathematical Society.Keywords
- Hausdorff dimension
- number system