Twofold Translative Tilings with Convex Bodies

2016/01/17 by Kirati Sriamorn, Sriamorn, Kirati · 1 citation
Computer Science · Materials Science · Mathematics · #Cellular Automata and Applications #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.1601.04312

openalex publication_date 2016/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let K be a convex body. It is known that, in general, if K is a k-fold translative tile (for some positive integer k), then K may not be a (onefold) translative tile. However, in this paper I will show that for every convex body K, K is a twofold translative tile if and only if K is a translative tile.

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