Filling a box with translates of two bricks.
Four series of hyperbolic space groups with simplicial domains, and their supergroups
Fractal Penrose tiles II: Tiles with fractal boundary as duals of Penrose triangles.
Haar Type Orthonomal Wavelet Bases in R2.
Hajós' theorem and the partition lemma.
Integral Self-Affine Tiles in ... Part II: Lattice Tilings.
Lattice tilings by cubes: Whole, notched and extended.
Notions of denseness.
On the algebraic form of Keller's conjecture
On the boundary of an extremal body.
On the existence of wavelets for non-expansive dilation matrices.
Sets which simultaneously tile Rn by applying powers of an invertible matrix and translations by a lattice are studied. Diagonal matrices A for which there exist sets that tile by powers of A and by integer translations are characterized. A sufficient condition and a necessary condition on the dilations and translations for the existence of such sets are also given. These conditions depend in an essential way on the interplay between the eigenvectors of the dilation matrix and the translation lattice...
Perfect Delaunay polytopes in low dimensions.
Periodic factorization of a finite Abelian 2-group.
Pseudo-self-affine tilings in .
Quasicrystals and almost periodic functions
We consider analogies between the "cut-and-project" method of constructing quasicrystals and the theory of almost periodic functions. In particular an analytic method of constructing almost periodic functions by means of convolution is presented. A geometric approach to critical points of such functions is also shown and illustrated with examples.
Remarks on self-affine tilings.
Rep-tiling Euclidean space.
Rigidity of planar tilings.
Self-Similar Lattice Tillings.
Simulated factorizations II.