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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/9865

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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