summary:Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose total area does not exceed $0.175$ times the area of $C$ can be translatively packed in $C$
The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a...
The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a...
In this paper we determine new upper bounds for the maximal density of translative packings of super...
summary:Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose t...
Abstract. Every sequence of positive or negative homothetic copies of a planar convex body C whose t...
summary:Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose t...
We estimate the number and ratio of negative homothetic copies of a d-dimensional convex body C suff...
We estimate the number and ratio of negative homothetic copies of a d-dimensional convex body C suff...
For two planar convex bodies, C and D, consider a packing S of n positive homothets of C contained i...
According to a classical result of Grünbaum, the transversal number τ(F) of any family F of pairwis...
Packing problems are concerned with filling the space with copies of a certain object, so that the l...
Abstract. In this paper we prove a theorem that provides an upper bound for the density of packings ...
We show that every $3$-dimensional convex body can be covered by $14$ smaller homothetic copies. The...
AbstractIn 1950, C.A. Rogers introduced and studied two simultaneous packing and covering constants ...
Abstract. For a convex body K, let us denote by t(K) the largest number for which there exists a pac...
The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a...
The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a...
In this paper we determine new upper bounds for the maximal density of translative packings of super...
summary:Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose t...
Abstract. Every sequence of positive or negative homothetic copies of a planar convex body C whose t...
summary:Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose t...
We estimate the number and ratio of negative homothetic copies of a d-dimensional convex body C suff...
We estimate the number and ratio of negative homothetic copies of a d-dimensional convex body C suff...
For two planar convex bodies, C and D, consider a packing S of n positive homothets of C contained i...
According to a classical result of Grünbaum, the transversal number τ(F) of any family F of pairwis...
Packing problems are concerned with filling the space with copies of a certain object, so that the l...
Abstract. In this paper we prove a theorem that provides an upper bound for the density of packings ...
We show that every $3$-dimensional convex body can be covered by $14$ smaller homothetic copies. The...
AbstractIn 1950, C.A. Rogers introduced and studied two simultaneous packing and covering constants ...
Abstract. For a convex body K, let us denote by t(K) the largest number for which there exists a pac...
The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a...
The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a...
In this paper we determine new upper bounds for the maximal density of translative packings of super...
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