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Combinatorics: Ancient and Modern$
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Robin Wilson and John J. Watkins

Print publication date: 2013

Print ISBN-13: 9780199656592

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199656592.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 16 June 2021

Block designs

Block designs

(p.231) Chapter 10 Block designs
Combinatorics: Ancient and Modern



Oxford University Press

This chapter outlines the origins of design theory, with particular reference to the ‘Steiner triple systems’, the pioneering work of Thomas Kirkman, and early contributions by a number of writers on the ‘fifteen schoolgirls problem’. Connections are also made with finite projective planes and with the design of experiments.

Keywords:   block designs, design theory, Steiner triple systems, Thomas Kirkman, fifteen schoolgirls problem, finite projective planes, design of experiments

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