Geodesic
Polyiamonds and polyhexes with minimum site-perimeter and achievement games
The electronic journal of combinatorics, Tome 17 (2010)
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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.
DOI : 10.37236/337
Classification : 05B50, 91A46 
@article{10_37236_337,
     author = {G\'abor F\"ulep and N\'andor Sieben},
     title = {Polyiamonds and polyhexes with minimum site-perimeter and achievement games},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/337},
     zbl = {1207.05033},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/337/}
}
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Gábor Fülep; Nándor Sieben. Polyiamonds and polyhexes with minimum site-perimeter and achievement games. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/337

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