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Twills on a given number of harnesses

Part of: Design of experiments Designs and configurations

Published online by Cambridge University Press:  09 April 2009

W. D. Hoskins  and
Anne Penfold Street
W. D. Hoskins
Affiliation:
Department of Computer Science University of ManitobaWinnipeg, ManitobaCanadaR3T 2N2
Anne Penfold Street
Affiliation:
Department of Mathematics University of QueenslandSt. Lucia, Brisbane, Australia
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Abstract

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The simple twills on n harnesses can be classified according to the number of breaks that they possess. An algorithm is detailed for determining these twills and some sample listings given. A formula is derived which evaluates the total number of n-harness twills with a specified number of breaks, and hence also the total possible number of twills on n harnesses. Also the balanced twills on n harnesses are enumerated.

MSC classification

Secondary: 05B30: Other designs, configurations 05B45: Tessellation and tiling problems 62K99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 1 , August 1982 , pp. 1 - 15
Copyright
Copyright © Australian Mathematical Society 1982

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