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math.MG2025
Neighbors of self-affine tiles and Rauzy Fractals
Benoît Loridant, Jörg M. Thuswaldner, Shu-Qin Zhang
Although the theory of self-affine tiles and the theory of Rauzy fractals are quite different from each other, they have some common features. Both, self-affine tiles and Rauzy fra…
math.MG2024
Intersection the twin dragon with rational lines
Shigeki Akiyama, Paul Grosskopf, Benoît Loridant +1
The Knuth Twin Dragon is a compact subset of the plane with fractal boundary of Hausdorff dimension , . Although the intersection with…