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Self-Replicating Tiles and Their Boundary

https://doi.org/10.1007/pl00009433
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/aima.1996.0045openalex-snapshot
Self-Affine Tiles in Rn
inferredcites →https://doi.org/10.1007/978-3-0348-9096-0_10openalex-snapshot
Rep-tiling Euclidean space
inferredcites →https://doi.org/10.1007/bf01198010openalex-snapshot
Wavelets and self-affine tilings
inferredcites →https://doi.org/10.1007/bf01831118openalex-snapshot
Rep-tiling Euclidean space
inferredcites →https://doi.org/10.1007/bf03023486openalex-snapshot
Fractal geometry derived from complex bases
inferredcites →https://doi.org/10.1007/s00041-001-4007-6openalex-snapshot
Self-Similar Lattice Tilings
inferredcites →https://doi.org/10.1007/s002220050056openalex-snapshot
Tiling the line with translates of one tile
inferredcites →https://doi.org/10.1016/0097-3165(82)90048-6openalex-snapshot
Replicating superfigures and endomorphisms of free groups
inferredcites →https://doi.org/10.1017/s0143385700003527openalex-snapshot
Generating special Markov partitions for hyperbolic toral automorphisms using fractals
inferredcites →https://doi.org/10.1090/conm/135/1185093openalex-snapshot
Self-replicating tilings
inferredcites →https://doi.org/10.1090/s0002-9939-1991-1036982-1openalex-snapshot
Self-similar sets. V. Integer matrices and fractal tilings of 𝑅ⁿ
inferredcites →https://doi.org/10.1090/s0002-9939-1994-1191872-1openalex-snapshot
Separation Properties for Self-Similar Sets
inferredcites →https://doi.org/10.1109/18.119723openalex-snapshot
Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
inferredcites →https://doi.org/10.1112/jlms/54.1.161openalex-snapshot
Integral Self-Affine Tiles in ℝ n I. Standard and Nonstandard Digit Sets
inferredcites →https://doi.org/10.1112/s0024610700008711openalex-snapshot
The Hausdorff Dimension of the Boundary of a Self-Similar Tile
inferredcites →https://doi.org/10.1137/0406040openalex-snapshot
Replicating Tessellations
inferredcites →https://doi.org/10.2307/2323457openalex-snapshot
Tilings and Patterns.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-0348-8014-5_10openalex-snapshot
Neighbours of Self-affine Tiles in Lattice Tilings
inferred← citeshttps://doi.org/10.1007/978-3-319-08105-2_2openalex-snapshot
Geometry of Self-similar Sets
inferred← citeshttps://doi.org/10.1007/s00454-001-0034-yopenalex-snapshot
Disk-Like Self-Affine Tiles in R 2
inferred← citeshttps://doi.org/10.1007/s00454-009-9219-6openalex-snapshot
A Framework for the Construction of Self-replicating Tilings
inferred← citeshttps://doi.org/10.1007/s00454-016-9849-4openalex-snapshot
Invariant Measure of Rotational Beta Expansion and Tarski’s Plank Problem
inferred← citeshttps://doi.org/10.1007/s10711-004-1774-7openalex-snapshot
A Survey on Topological Properties of Tiles Related to Number Systems
inferred← citeshttps://doi.org/10.1007/s11854-011-0031-xopenalex-snapshot
Invariant measures for non-primitive tiling substitutions
inferred← citeshttps://doi.org/10.1109/smi.2002.1003523openalex-snapshot
A corner-cutting scheme for hexagonal subdivision surfaces
inferred← citeshttps://doi.org/10.1112/s0024610700008711openalex-snapshot
The Hausdorff Dimension of the Boundary of a Self-Similar Tile
inferred← citeshttps://doi.org/10.1142/s0218348x0200077xopenalex-snapshot
THE BOUNDARY OF THE ATTRACTOR OF A RECURRENT ITERATED FUNCTION SYSTEM
inferred← citeshttps://doi.org/10.1142/s0218348x20500656openalex-snapshot
CONNECTEDNESS OF A CLASS OF SELF-AFFINE CARPETS
inferred← citeshttps://doi.org/10.2969/jmsj/06320525openalex-snapshot
Boundary parametrization of self-affine tiles
inferred← citeshttps://doi.org/10.48550/arxiv.1002.0710openalex-snapshot
Combinatorial topology of three-dimensional self-affine tiles
inferred← citeshttps://doi.org/10.48550/arxiv.1007.1686openalex-snapshot
Invariant measures for non-primitive tiling substitutions
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