Boundary parametrization of self-affine tiles
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Publication:548525
DOI10.2969/jmsj/06320525zbMath1226.28006OpenAlexW2047946349MaRDI QIDQ548525
Benoît Loridant, Shigeki Akiyama
Publication date: 29 June 2011
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/06320525
Algebraic theory of languages and automata (68Q70) Fractals (28A80) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)
Related Items (17)
On single-matrix graph-directed iterated function systems ⋮ Boundaries of disk-like self-affine tiles ⋮ Topological properties of self-similar fractals with one parameter ⋮ Self-affine tiles generated by a finite number of matrices ⋮ Path sets in one-sided symbolic dynamics ⋮ Boundary parametrization of planar self-affine tiles with collinear digit set ⋮ Self-affine manifolds ⋮ Space-filling curves and geodesic laminations. II: Symmetries ⋮ Differential tests for plurisubharmonic functions and Koch curves ⋮ Topology of a class of \(p2\)-crystallographic replication tiles ⋮ Topology of planar self-affine tiles with collinear digit set ⋮ Topological properties of a class of cubic Rauzy fractals ⋮ On self-affine tiles whose boundary is a sphere ⋮ Substitutive number systems ⋮ On the symmetric intersection of Rauzy fractals associated with the k-bonacci substitution ⋮ A single fractal pinwheel tile ⋮ BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES
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