Generalization of Haberdasher’s Puzzle

In this paper, we scrutinize the Haberdasher’s puzzle by Dudeney to produce equi-rotational pairs of figures systematically. We also generalize the puzzle by considering the tessellability condition (strong tessellability) for a pair of figures. As a result of it, it is shown that all pairs of stron...

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Bibliographic Details
Published in:Discrete & computational geometry 2017-07, Vol.58 (1), p.30-50
Main Authors: Akiyama, Jin, Matsunaga, Kiyoko
Format: Article
Language:English
Subjects:
Combinatorics
Computational Mathematics and Numerical Analysis
Criteria
Mathematics
Mathematics and Statistics
Tessellation
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Summary:In this paper, we scrutinize the Haberdasher’s puzzle by Dudeney to produce equi-rotational pairs of figures systematically. We also generalize the puzzle by considering the tessellability condition (strong tessellability) for a pair of figures. As a result of it, it is shown that all pairs of strong tessellative and equi-rotational figures satisfy Conway criterion.
ISSN:0179-5376
1432-0444
DOI:10.1007/s00454-017-9876-9