A packing with smallest density is called a clumsy packing. We give an example of a set D such that any clumsy packing is aperiodic.

Mar 13, 2022 · In this paper we consider clumsy packing of polyominoes in a finite spaces which must consider boundary conditions.

In this paper, we consider the clumsy packing of polyominoes in a finite space, which must consider boundary conditions. We examine rectangle, L, T, and plus.

Polyominoes. Theorem. There exists a set of 14 polyominoes such that every clumsy packing is aperiodic. Theorem. For some q ∈ Q it is undecidable whether a ...

Feb 9, 2024 · Clumsy packing is considered an inefficient packing, meaning we find the minimum number of objects we can pack into a space so that we can not ...

Packing polyominoes clumsily · Stefan Walzer, M. Axenovich, T. Ueckerdt · Published in Computational geometry 2014 · Mathematics.

Oct 22, 2024 · For a set D of polyominoes, a packing of the plane with D is a maximal set of copies of polyominoes from D that are not overlapping.

Mar 13, 2022 · Tiling and packing of polyominoes has particular importance for topology and geometry with applications in physics and chemistry. In this paper, ...

Jan 1, 2014 · For a set D of polyominoes, a packing of the plane with D is a maximal set of copies of polyominoes from D that are not overlapping.

Jan 8, 2013 · They called a set of disjoint polyominoes a clumsy packing if no other polyomino can be added without an overlap and the total density is as ...