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http://hdl.handle.net/10119/9865
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| Title: | Kaboozle Is NP-complete, Even in a Strip |
| Authors: | Asano, Tetsuo
Demaine, Erik
Demaine, Martin
Uehara, Ryuhei |
| Keywords: | Kaboozle
Transposer
silhouette
puzzle
origami |
| Issue Date: | 2010-05-29 |
| Publisher: | Springer |
| Magazine name: | Lecture Notes in Computer Science |
| Volume: | 6099/2010 |
| Start page: | 28 |
| End page: | 36 |
| DOI: | 10.1007/978-3-642-13122-6_5 |
| Abstract: | Kaboozle is a puzzle consisting of several square cards, each annotated with colored paths and dots drawn on both sides and holes drilled. The goal is to join two colored dots with paths of the same color (and fill all holes) by stacking the cards suitably. The freedoms here are to reflect, rotate, and order the cards arbitrarily, so it is not surprising that the problem is NP-complete (as we show). More surprising is that any one of these freedoms—reflection, rotation, and order—is alone enough to make the puzzle NP-complete. Furthermore, we show NP-completeness of a particularly constrained form of Kaboozle related to 1D paper folding. Specifically, we suppose that the cards are glued together into a strip, where each glued edge has a specified folding direction (mountain or valley). This variation removes the ability to rotate and reflect cards, and restricts the order to be a valid folded state of a given 1D mountain-valley pattern. |
| Rights: | This is the author-created version of Springer, Tetsuo Asano, Erik Demaine, Martin Demaine, and Ryuhei Uehara, Lecture Notes in Computer Science, 6099/2010, 2010, 28-36. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-642-13122-6_5 |
| URI: | http://hdl.handle.net/10119/9865 |
| Material Type: | publisher |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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| kaboozle.pdf | | 148Kb | Adobe PDF | View/Open |
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