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   Vol.E80-A   No.6   pp.1049-1054
Publication Date: 1997/06/25
Online ISSN: 
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.