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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Dissections of $p:q$ rectangles


Author: Charles H. Jepsen
Journal: Math. Comp. 65 (1996), 771-778
MSC (1991): Primary 05B99, 68R10
DOI: https://doi.org/10.1090/S0025-5718-96-00711-9
MathSciNet review: 1333316
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Abstract: We determine all simple perfect dissections of $p:q$ rectangles into at most twelve $p:q$ rectangular elements. A computer search shows there are only eight such dissections, two of order 10, three of order 11, and three of order 12.


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Additional Information

Charles H. Jepsen
Affiliation: Department of Mathematics, Grinnell College, Grinnell, Iowa 50112
Email: jepsen@math.grin.edu

DOI: https://doi.org/10.1090/S0025-5718-96-00711-9
Keywords: Simple perfect dissection, $c$-net, $p$-net
Received by editor(s): January 11, 1995
Article copyright: © Copyright 1996 American Mathematical Society