Graphs and Combinatorics

, Volume 32, Issue 2, pp 785–799

Convex Pentagons for Edge-to-Edge Tiling, III

Original Paper

DOI: 10.1007/s00373-015-1599-1

Cite this article as:
Sugimoto, T. Graphs and Combinatorics (2016) 32: 785. doi:10.1007/s00373-015-1599-1
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Abstract

In previous papers, the cases in which there is a possibility that a convex pentagon generates an edge-to-edge tiling were sorted, and the remaining 42 cases in which there is uncertainty about whether a convex pentagon can generate an edge-to-edge tiling were shown. In this paper, the latter 42 cases are investigated using a computer. As a result, we find that convex pentagons that can generate edge-to-edge monohedral tiling of the plane can be sorted into eight types.

Keywords

Convex pentagon Tiling Tile Monohedral tiling Edge-to-edge tiling 

Copyright information

© Springer Japan 2015

Authors and Affiliations

  1. 1.The Interdisciplinary Institute of Science, Technology and ArtSaitamaJapan

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