Sections of simplices.
Six lonely runners.
Spherical Complexes and Nonprojective Tone Varieties.
Splitting groups of prime order.
Substitutions, abstract number systems and the space filling property
In this paper we study multi-dimensional words generated by fixed points of substitutions by projecting the integer points on the corresponding broken halfline. We show for a large class of substitutions that the resulting word is the restriction of a linear function modulo and that it can be decided whether the resulting word is space filling or not. The proof uses lattices and the abstract number system associated with the substitution.
Successive Minima, Intrinsic Volumes, and Lattice Determinants.
Successive-Minima-Type Inequalities.