Eureka 51

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Eureka 51 (March 1992)

Article title	Authors	Pages
Front matter	Mark Wainwright	front cover-2
Acknowledgements	Mark Wainwright	2
Editorial	Mark Wainwright	3
The Archimedeans, 1990-1991	Michael Aird	4
Near Metric Theory	Paul Nicholls	5
Galois' Group	Amites Sarkar	6-12
Advertisement	Barclays Bank plc	13
Advertisement	The Engineering Council	13
Letter Addition and Doubly Self-Referential Haiku	Anton Cox	14-15
The Prisoner's Dilemma	Kevin P. Murphy	16-33
Tetris	Richard Tucker	34-35
Miss Warren's Profession	Graham Nelson	36-39
Free Market Maths	Paul Norridge	39
Problems Drive 1991	Michael Earnshaw and Tim Wilkins	40-43
Clerihews	A. Nomet	43
Some Unsolved Problems In Geometry, Number Theory and Combinatorics	Paul Erdös	44-48
Cross-Number	Ampenditus	48
What is Mac Lane missing?	A. R. D. Mathias	49-52
Book Reviews	Stephen Turner and Vin de Silva	53-54
More Clerihews	A. Nomet	54
Solutions to Problems Drive	Michael Earnshaw and Tim Wilkins	55-56
Limerick		inside back cover

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Eureka

Eureka is the journal of the Archimedeans, which is the Cambridge University Mathematical Society, and a Junior Branch of the Mathematical Association. Eureka is published approximately annually, but since it, like the Society, is run entirely by student volunteers, it is impossible to guarantee precise publication dates. The Society also publishes QARCH, a problems journal.

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EUREKA

Number 51

Editor: Mark Wainwright

March 1992

TABLE OF CONTENTS

Acknowledgements		2
Editorial		3
The Archimedeans	Michael Aird	4
Near-Metric Theory	Paul Nicholls	5
Galois’ Group	Amites Sarkar	6
On Letter Addition and Doubly Self-Referential Haiku	Anton Cox	14
The Prisoners’ Dilemma	Kevin Murphy	16
Tetris	Richard Tucker	34
Miss Warren’s Profession	Graham Nelson	36
Free Market Maths	Paul Norridge	39
Problems Drive	Michael Earnshaw and Tim Wilkins	40
Clerihews	A. Nomet	43
Some Unsolved Problems in Geometry, Number Theory and Combinatorics
	Paul Erdős	44
Crossnumber	Ampenditus	48
What Is Mac Lane Missing?	A. R. D. Mathias	49
Book Reviews	Stephen Turner, Vin de Silva	53
More Clerihews	A. Nomet	54
Solutions to Problems Drive etc.		55
Limerick		Inside Back Cover

Copyright © The Archimedeans 1992    ISSN 0071-2248

Archimedeans’ Committee 1991-1992

President	Richard Tucker	Christ’s
Vice-President	Michael Aird	Trinity
Secretary	Anton Cox	Clare
Junior Treasurer	Amy Golub	Trinity
Registrar	Paul Hankin	Trinity
Publicity and
Entertainments Manager	Julian Birch	Sidney Sussex
Chronicler	Vin de Silva	Trinity
Business Manager	Stephen Frye	Clare
Senior Treasurer	Dr I. B. Leader	Peterhouse

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Reproduced from Eureka 51.