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A Neuro-Based Optimization Algorithm for Three Dimensional Cylindric Puzzles
Hiroyuki YAMAMOTO Takeshi NAKAYAMA Hiroshi NINOMIYA Hideki ASAI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1997/06/25
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section of Papers Selected from 1996 International Technical Conference on Circuits/Systems, Computers and Communications(ITC-CSCC'96))
cylindrical puzzles, tiling problem, polyomino, analog neural network, omega function heuristic,
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This paper describes a neuro-based optimization algorithm for three dimensional (3-D) cylindric puzzles which are problems to arrange the irregular-shaped slices so that they perfectly fit into a fixed three dimensional cylindric shape. First, the idea to expand the 2-dimensional tiling technique to 3-dimensional puzzles is described. Next, to energy function with the fitting function of each polyomino is introduced, which is available for 3-D cylindric puzzles. Furthermore our algorithm is applied to several examples using the analog neural array. Finally, it is shown that our algorithm is useful for solving 3-D cylindric puzzles.