@article{oai:sucra.repo.nii.ac.jp:00016442,
 author = {山根, 祥悟 and 堀山, 貴史},
 journal = {埼玉大学工学部紀要 第一部 論文集},
 month = {},
 note = {Polyiamonds are the two dimensional shapes made by connecting n equal-sized equilateral triangles, joined along their edges. In this paper, we propose algorithms to generate polyiamonds for p6 tiling, i.e., those covering the plane by only 6-fold rotations around two rotation centers. The conventional methods are basically trial and error, i.e., they repeat generating polyiamonds and checking whether the shapes have been already generated. Our approach is based on the reverse search, in which we design rules to generate the next. This technique has the following two characteristics: (1) No trial and error, which implies that we can reduce the computation time. (2) No need to store already generated polyiamonds. Thus, we can also reduce the space complexity. We also implement the algorithm and generate 26,875 polyiamonds with n = 21 equilateral triangles, while the conventional methods generated 29 polyiamonds with n = 9 equilateral triangles., text, application/pdf},
 pages = {22--28},
 title = {逆探索に基づくp6タイリングの生成＜研究成果報告＞},
 volume = {43},
 year = {2009},
 yomi = {ヤマネ, ショウゴ and ホリヤマ, タカシ}
}