AbstractWe prove that there does not exist a tiling with Lee spheres of radius at least 2 in the 3-dimensional Euclidean space. In particular, this result verifies a conjecture of Golomb and Welch forn=3
© 1982 Dr. Francis Robert SmithIn this thesis, we will prove that in the 3-dimensional sphere endowe...
The kissing number problem asks for the maximal number of non-overlapping unit balls in R^n that tou...
AbstractThe order of a polyomino is the minimum number of congruent copies that can tile a rectangle...
AbstractWe prove that there does not exist a tiling of R3 with Lee spheres of radius greater than 0 ...
AbstractGravier et al. proved [S. Gravier, M. Mollard, Ch. Payan, On the existence of three-dimensio...
AbstractWe prove that there does not exist a tiling with Lee spheres of radius at least 2 in the 3-d...
The paper addresses the problem if the n-dimensional Euclidean space can be tiled with translated co...
AbstractA family of n-dimensional Lee spheres L is a tiling of Rn, if ∪L=Rn and for every Lu,Lv∈L, t...
A family of ▫$n$▫-dimensional Lee spheres ▫$mathcal{L}$▫ is a tiling of ▫${mathbb{R}}^n$▫ if ▫$cupma...
We define a family of generalizations of SL2-tilings to higher dimensions called epsilon-SL2-tilings...
We define a family of generalizations of SL_2 -tilings to higher dimensions called e-SL2 -tilings. ...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
We show that there exist infinitely many metrics on S3 which provide a discrete family of non congru...
AbstractIn this note we shall prove a geometric Ramsey theorem. Let T be a triangle with angles 30, ...
Let Rn be the n-dimensional Euclidean space. Let L denote a lattice in Rn of determinant 1 such that...
© 1982 Dr. Francis Robert SmithIn this thesis, we will prove that in the 3-dimensional sphere endowe...
The kissing number problem asks for the maximal number of non-overlapping unit balls in R^n that tou...
AbstractThe order of a polyomino is the minimum number of congruent copies that can tile a rectangle...
AbstractWe prove that there does not exist a tiling of R3 with Lee spheres of radius greater than 0 ...
AbstractGravier et al. proved [S. Gravier, M. Mollard, Ch. Payan, On the existence of three-dimensio...
AbstractWe prove that there does not exist a tiling with Lee spheres of radius at least 2 in the 3-d...
The paper addresses the problem if the n-dimensional Euclidean space can be tiled with translated co...
AbstractA family of n-dimensional Lee spheres L is a tiling of Rn, if ∪L=Rn and for every Lu,Lv∈L, t...
A family of ▫$n$▫-dimensional Lee spheres ▫$mathcal{L}$▫ is a tiling of ▫${mathbb{R}}^n$▫ if ▫$cupma...
We define a family of generalizations of SL2-tilings to higher dimensions called epsilon-SL2-tilings...
We define a family of generalizations of SL_2 -tilings to higher dimensions called e-SL2 -tilings. ...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
We show that there exist infinitely many metrics on S3 which provide a discrete family of non congru...
AbstractIn this note we shall prove a geometric Ramsey theorem. Let T be a triangle with angles 30, ...
Let Rn be the n-dimensional Euclidean space. Let L denote a lattice in Rn of determinant 1 such that...
© 1982 Dr. Francis Robert SmithIn this thesis, we will prove that in the 3-dimensional sphere endowe...
The kissing number problem asks for the maximal number of non-overlapping unit balls in R^n that tou...
AbstractThe order of a polyomino is the minimum number of congruent copies that can tile a rectangle...
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