The purpose of this paper is to show that an effort to construct functions known not to exist may on occasion produce interesting frauds. Our method produces a family of Harald Bohr\u27s quasiperiodic functions, which may well remind readers of the quasicrystals that have been much in the news since Daniel Shechtman won the Nobel Prize in Chemistry in 2011
Symmetry is a crucial concept in physics. Many of the great revolutions in physics since the time of...
Journal ArticleResearch Support, Non-U.S. Gov'tThe presence of pseudo-symmetry in a macromolecular c...
AbstractA symmetry appears in modern geometry and its numerous applications both in explicit form (v...
The emergence of quasi-periodic tiling theories in mathematics and material science is revealing a n...
Quasicrystals are orientationally-ordered structures with classically forbidden rotation symmetries ...
AbstractRereading Hermann Weyl's now-classic 1952 monograph Symmetry, one is struck both by its beau...
I use the theory of Lie groups/algebras to discuss the symmetries of crystals with uniform distribut...
We find the geometrical symmetries of discrete structures which generalize the perfect lattices of c...
I use the theory of Lie groups/algebras to discuss the symmetries of crystals with uniform distribut...
Crystal graphs are powerful combinatorial tools for working with the plactic monoid and symmetric fu...
Symmetry and antisymmetry are resources used by humans since pre-historic times in their artistic cr...
Group theory is the study of symmetry, and has many applications both within and outside mathematics...
AbstractInstead of making wallpaper by repeating copies of a motif, we construct wallpaper functions...
Three common symmetries exist in the natural visual world: (i) mirror symmetry, i.e., reflections ar...
In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting im...
Symmetry is a crucial concept in physics. Many of the great revolutions in physics since the time of...
Journal ArticleResearch Support, Non-U.S. Gov'tThe presence of pseudo-symmetry in a macromolecular c...
AbstractA symmetry appears in modern geometry and its numerous applications both in explicit form (v...
The emergence of quasi-periodic tiling theories in mathematics and material science is revealing a n...
Quasicrystals are orientationally-ordered structures with classically forbidden rotation symmetries ...
AbstractRereading Hermann Weyl's now-classic 1952 monograph Symmetry, one is struck both by its beau...
I use the theory of Lie groups/algebras to discuss the symmetries of crystals with uniform distribut...
We find the geometrical symmetries of discrete structures which generalize the perfect lattices of c...
I use the theory of Lie groups/algebras to discuss the symmetries of crystals with uniform distribut...
Crystal graphs are powerful combinatorial tools for working with the plactic monoid and symmetric fu...
Symmetry and antisymmetry are resources used by humans since pre-historic times in their artistic cr...
Group theory is the study of symmetry, and has many applications both within and outside mathematics...
AbstractInstead of making wallpaper by repeating copies of a motif, we construct wallpaper functions...
Three common symmetries exist in the natural visual world: (i) mirror symmetry, i.e., reflections ar...
In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting im...
Symmetry is a crucial concept in physics. Many of the great revolutions in physics since the time of...
Journal ArticleResearch Support, Non-U.S. Gov'tThe presence of pseudo-symmetry in a macromolecular c...
AbstractA symmetry appears in modern geometry and its numerous applications both in explicit form (v...