## 2 Citations

### Integral Powers of Numbers in Small Intervals Modulo 1: The Cardinality Gap Phenomenon

- Mathematics
- 2015

Abstract This paper deals with the distribution of αζn mod 1, where α ≠ 0, ζ > 1 are fixed real numbers and n runs through the positive integers. Denote by ‖·‖ the distance to the nearest integer. We…

## References

SHOWING 1-6 OF 6 REFERENCES

### Tiling the Plane with Congruent Pentagons

- Mathematics
- 1978

The importance of recreational mathematics and the involvement of amateur mathematicians has been dramatically demonstrated recently in connection with the prob/ lem of tiling the plane with…

### The eighty-one types of isohedral tilings in the plane

- MathematicsMathematical Proceedings of the Cambridge Philosophical Society
- 1977

1. A tiling is a collection = {Ti|i = 1, 2, …} of closed topological discs which covers the Euclidean plane E2, and of which the individual tiles Ti have disjoint interiors. We shall assume…

### On the densest packing of convex discs

- Mathematics
- 1983

We shall give a simple new proof of the following known theorem [1, 2]. Theorem. The upper density of a packing of translates of a convex disc cannot exceed the density of the densest lattice-packing…