Polyiamonds and Polyhexes with Minimum Site-Perimeter and Achievement Games
An animal is an edge connected set of finitely many cells of a regular tiling of the plane. The site-perimeter of an animal is the number of empty cells connected to the animal by an edge. The minimum site-perimeter with a given cell size is found for animals on the triangular and hexagonal grid. Th...
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| Veröffentlicht in: | The Electronic journal of combinatorics 2010-04, Vol.17 (1) |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | An animal is an edge connected set of finitely many cells of a regular tiling of the plane. The site-perimeter of an animal is the number of empty cells connected to the animal by an edge. The minimum site-perimeter with a given cell size is found for animals on the triangular and hexagonal grid. The formulas are used to show the effectiveness of a simple random strategy in full set animal achievement games. |
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| ISSN: | 1077-8926 1077-8926 |
| DOI: | 10.37236/337 |