4 citations · 18 across the 22 of their papers we have counts for
5 papers · 1 filter
Solving Rep-tile by Computers: Performance of Solvers and Analyses of Solutions
Mutsunori Banbara, Kenji Hashimoto, Takashi Horiyama +7
A rep-tile is a polygon that can be dissected into smaller copies (of the same size) of the original polygon. A polyomino is a polygon that is formed by joining one or more unit sq…
Any Regular Polyhedron Can Transform to Another by O(1) Refoldings
Erik D. Demaine, Martin L. Demaine, Jenny Diomidova +3
We show that several classes of polyhedra are joined by a sequence of O(1) refolding steps, where each refolding step unfolds the current polyhedron (allowing cuts anywhere on the…
Computational Complexity of Jumping Block Puzzles
Masaaki Kanzaki, Yota Otachi, Ryuhei Uehara
In combinatorial reconfiguration, the reconfiguration problems on a vertex subset (e.g., an independent set) are well investigated. In these problems, some tokens are placed on a s…
Efficient Folding Algorithms for Regular Polyhedra
Tonan Kamata, Akira Kadoguchi, Takashi Horiyama +1
We investigate the folding problem that asks if a polygon P can be folded to a polyhedron Q for given P and Q. Recently, an efficient algorithm for this problem has been developed…
Compacting Squares: Input-Sensitive In-Place Reconfiguration of Sliding Squares
Hugo A. Akitaya, Erik D. Demaine, Matias Korman +6
A well-established theoretical model for modular robots in two dimensions are edge-connected configurations of square modules, which can reconfigure through so-called sliding moves…