Name
Abstract | ||
|---|---|---|
Tantrix (Tantrix (R) is a registered trademark of Colour of Strategy Ltd. in New Zealand, and of TANTRIX JAPAN in Japan, respectively, under the license of M. McManaway, the inventor.) is a puzzle to make a loop by connecting lines drawn on hexagonal tiles, and the objective of this research is to solve it by a computer. For this purpose, we first give a problem setting of solving Tantrix as making a loop on a given fixed board. We then formulate it as an integer program by describing the rules of Tantrix as its constraints, and solve it by a mathematical programming solver to have a solution. As a result, we establish a formulation that can solve Tantrix of moderate size, and even when the solutions are invalid only by elementary constraints, we achieved it by introducing additional constraints and re-solve it. By this approach we succeeded to solve Tantrix of size up to 60. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.3390/a5010158 | ALGORITHMS |
Keywords | Field | DocType |
combinatorial game theory, integer programming, mathematical programming solver, recreational mathematics, subloop elimination | Integer,Combinatorial game theory,Mathematical optimization,Computer science,Hexagonal crystal system,Recreational mathematics,Integer programming,Artificial intelligence,Solver,Machine learning | Journal |
Volume | Issue | ISSN |
5 | 1 | 1999-4893 |
Citations | PageRank | References |
1 | 0.38 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fumika Kino | 1 | 1 | 0.72 |
| yushi uno | 2 | 222 | 28.80 |