Characterization of the Two-Dimensional Six-Fold Lattice Tiles

Abstract

This paper characterizes all the convex domains which can form six-fold lattice tilings of the Euclidean plane. They are parallelograms, centrally symmetric hexagons, one type of centrally symmetric octagons and two types of decagons.

20 pages, 14 figures. arXiv admin note: substantial text overlap with arXiv:1712.01122

References in corpus (1)

• Exhaustive search of convex pentagons which tile the plane

Cited by in corpus (2)

• Twofold Translative Tiles in Three-Dimensional Space
• The Three and Fourfold Translative Tiles in Three-Dimensional Space