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Replicating Tessellations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4612-5648-9_7openalex-snapshot
Geometry of Radix Representations
inferredcites →https://doi.org/10.1007/978-1-4757-2016-7openalex-snapshot
Sphere Packings, Lattices and Groups
inferredcites →https://doi.org/10.1007/978-3-642-61905-2openalex-snapshot
Problems and Theorems in Analysis II
inferredcites →https://doi.org/10.1007/bf03023486openalex-snapshot
Fractal geometry derived from complex bases
inferredcites →https://doi.org/10.1016/0022-247x(81)90262-6openalex-snapshot
Radix representations of quadratic fields
inferredcites →https://doi.org/10.1016/0097-3165(79)90111-0openalex-snapshot
Construction of replicating superfigures
inferredcites →https://doi.org/10.1016/0097-3165(82)90048-6openalex-snapshot
Replicating superfigures and endomorphisms of free groups
inferredcites →https://doi.org/10.1016/0166-218x(92)00186-popenalex-snapshot
An isomorphism between the p-adic integers and a ring associated with a tiling of N-space by permutohedra
inferredcites →https://doi.org/10.1016/0304-3975(84)90126-9openalex-snapshot
Bases and ambiguity of number systems
inferredcites →https://doi.org/10.1016/s0019-9958(83)80001-1openalex-snapshot
Ambiguity and decision problems concerning number systems
inferredcites →https://doi.org/10.1080/00029890.1990.11995616openalex-snapshot
Ambiguous Numbers are Dense
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/plms/s3-37.2.213openalex-snapshot
Non-Negative Digit Sets in Positional Number Systems
inferredcites →https://doi.org/10.1145/322344.322355openalex-snapshot
Basic digit sets for radix representation
inferredcites →https://doi.org/10.1515/crll.1857.53.173openalex-snapshot
Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1006/acha.1999.0268openalex-snapshot
Self-Affine Tilings with Several Tiles, I
inferred← citeshttps://doi.org/10.1007/3-540-28849-x_16openalex-snapshot
Extending Escher’s Recognizable-Motif Tilings to Multiple-Solution Tilings and Fractal Tilings
inferred← citeshttps://doi.org/10.1007/978-3-0348-9096-0_10openalex-snapshot
Rep-tiling Euclidean space
inferred← citeshttps://doi.org/10.1007/bf02249260openalex-snapshot
The construction of self-similar tilings
inferred← citeshttps://doi.org/10.1007/bf02647948openalex-snapshot
Integral self-affine tiles in ℝ n part II: Lattice tilings
inferred← citeshttps://doi.org/10.1007/bf02922173openalex-snapshot
Construction of wavelet sets with certain self-similarity properties
inferred← citeshttps://doi.org/10.1007/pl00009433openalex-snapshot
Self-Replicating Tiles and Their Boundary
inferred← citeshttps://doi.org/10.1007/s00041-001-4007-6openalex-snapshot
Self-Similar Lattice Tilings
inferred← citeshttps://doi.org/10.1007/s00041-001-4019-2openalex-snapshot
Haar Type Orthonormal Wavelet Bases in R2
inferred← citeshttps://doi.org/10.1007/s00283-014-9504-yopenalex-snapshot
On the Eisenstein Packing of the Complex Plane
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/s00454-014-9589-2openalex-snapshot
Fractal Tilings from Iterated Function Systems
inferred← citeshttps://doi.org/10.1007/s10474-013-0303-2openalex-snapshot
Existence and optimality of w-non-adjacent forms with an algebraic integer base
inferred← citeshttps://doi.org/10.1007/s10474-019-00958-xopenalex-snapshot
Number systems over general orders
inferred← citeshttps://doi.org/10.1007/s10476-019-0802-7openalex-snapshot
On the Spectra of Self-Affine Measures with Three Digits
inferred← citeshttps://doi.org/10.1007/s10476-022-0133-yopenalex-snapshot
On the Fourier Orthonormal Bases of a Class of Moran Measures on ℝ2
inferred← citeshttps://doi.org/10.1007/s11425-011-4227-4openalex-snapshot
Analysis of a class of spectral pair conditions
inferred← citeshttps://doi.org/10.1007/s11425-011-4278-6openalex-snapshot
Spectrality of planar self-affine measures with two-element digit set
inferred← citeshttps://doi.org/10.1007/s13373-013-0041-3openalex-snapshot
Developments in fractal geometry
inferred← citeshttps://doi.org/10.1016/0166-218x(92)00186-popenalex-snapshot
An isomorphism between the p-adic integers and a ring associated with a tiling of N-space by permutohedra
inferred← citeshttps://doi.org/10.1016/j.ecolmodel.2007.03.041openalex-snapshot
Rectangular and hexagonal grids used for observation, experiment and simulation in ecology
inferred← citeshttps://doi.org/10.1016/j.jcta.2023.105828openalex-snapshot
Non-expansive matrix number systems with bases similar to certain Jordan blocks
inferred← citeshttps://doi.org/10.1016/j.jfa.2016.03.006openalex-snapshot
On the spectra of Sierpinski-type self-affine measures
inferred← citeshttps://doi.org/10.1016/j.laa.2018.08.006openalex-snapshot
Characterization of rational matrices that admit finite digit representations
inferred← citeshttps://doi.org/10.1016/j.laa.2021.10.018openalex-snapshot
On positional representation of integer vectors
inferred← citeshttps://doi.org/10.1016/j.tcs.2012.09.017openalex-snapshot
Certain discrete dynamical systems, number systems and related integral self-affine sets
inferred← citeshttps://doi.org/10.1016/s0097-8493(00)00134-5openalex-snapshot
Fractal tilings based on kite- and dart-shaped prototiles
inferred← citeshttps://doi.org/10.1016/s0895-7177(03)90076-8openalex-snapshot
Number expansions in lattices
inferred← citeshttps://doi.org/10.1017/prm.2025.10067openalex-snapshot
Equidistribution in the complex plane and self-similar measures
inferred← citeshttps://doi.org/10.1017/s0143385700008828openalex-snapshot
Measures of full dimension on affine-invariant sets
inferred← citeshttps://doi.org/10.1017/s0143385797084988openalex-snapshot
Dynamics of self-similar tilings
inferred← citeshttps://doi.org/10.1080/03081087.2022.2067813openalex-snapshot
Rational matrix digit systems
inferred← citeshttps://doi.org/10.1080/10586458.1994.10504300openalex-snapshot
Remarks on Self-Affine Tilings
inferred← citeshttps://doi.org/10.1088/1361-6544/acdec1openalex-snapshot
Spectral number of 3-Bernoulli convolutions on R and Sierpinski-type measures on R 2
inferred← citeshttps://doi.org/10.1090/conm/768/15459openalex-snapshot
On diophantine properties of radix representations in algebraic number fields
inferred← citeshttps://doi.org/10.1090/s0002-9947-96-01538-3openalex-snapshot
Nonnegative Radix Representations for the Orthant 𝑅ⁿ₊
inferred← citeshttps://doi.org/10.1109/tools.1998.750043openalex-snapshot
Manifolds: cellular component organizations
inferred← citeshttps://doi.org/10.1112/jlms.12916openalex-snapshot
Valuations, completions, and hyperbolic actions of metabelian groups
inferred← citeshttps://doi.org/10.1112/s0024610706022915openalex-snapshot
NATURAL TILING, LATTICE TILING AND LEBESGUE MEASURE OF INTEGRAL SELF-AFFINE TILES
inferred← citeshttps://doi.org/10.1142/s0129167x2150004xopenalex-snapshot
On the spectrality of self-affine measures with four digits on ℝ2
inferred← citeshttps://doi.org/10.1142/s0218348x21500274openalex-snapshot
FRACTAL REP TILES OF ℝ2 AND ℝ3 USING INTEGER MATRICES
inferred← citeshttps://doi.org/10.1142/s0218348x99000037openalex-snapshot
DISCLIKE LATTICE REPTILES INDUCED BY EXACT POLYOMINOES
inferred← citeshttps://doi.org/10.14232/actacyb.289524openalex-snapshot
Toolset for Supporting the Research of Lattice Based Number Expansions
inferred← citeshttps://doi.org/10.14311/ap.2023.63.0188openalex-snapshot
From positional representation of numbers to positional representation of vectors
inferred← citeshttps://doi.org/10.1515/ms-2025-1135openalex-snapshot
On the structures of canonical radix expansions in different bases
inferred← citeshttps://doi.org/10.2140/pjm.2002.206.465openalex-snapshot
Self-affine tiling via substitution dynamical systems and Rauzy fractals
inferred← citeshttps://doi.org/10.3389/fphy.2026.1699796openalex-snapshot
Fractal rep-tiles of the plane via reflections and integer matrices
inferred← citeshttps://doi.org/10.4064/sm177-2-7openalex-snapshot
Digit sets of integral self-affine tiles with prime determinant
inferred← citeshttps://doi.org/10.4064/sm188-3-3openalex-snapshot
Self-affine measures and vector-valued representations
inferred← citeshttps://doi.org/10.4310/ajm.1999.v3.n2.a7openalex-snapshot
Haar-type multiwavelet bases and self-affine multi-tiles
inferred← citeshttps://doi.org/10.48550/arxiv.1002.0710openalex-snapshot
Combinatorial topology of three-dimensional self-affine tiles
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