Contents
Editorial		1
Articles
1936: Post, Turing and 'a kind of miracle'	G. T. Q. Hoare	2
From integer Lorentz transformations to Pythagoras	C. J. Bradley	16
Concerning a sequence of Gaussian Integrals	H. C. Rae	22
Formulae for the convergents to some irrationals	Martin Griffiths	28
World order from chaotic beginnings	Gerald Newth	39
Parity Lights	Dennis Epple and Martin Kutz	46
A long game - Racing random walkers	T. G. Dankel and J. L. Brown	57
Irrational thoughts	Marty Ross	68
Matter for Debate
Reply to Hugh Thurston	A. Robert Pargeter	79
44th International Mathematical Olympiad	Geoff Smith	81
Notes 88.01 to 88.30
Solutions of	Roy Barbara	84
Some properties of odd terms of the Fibonacci sequence	V. Rajesh and Gerry Leversha	85
A curious identity which is not so curious	Henry W. Gould	87
More on solving non-linear matrix equations	Douglas W. Mitchell	87
Cylinders, cones and centres of gravity	P. Glaister	90
One hump or two	Anthony C. Robin	91
How can we tackle	Stuart Simons	96
Very curious numbers indeed!	Timothy G. Feeman and Osvaldo Marrero	98
On a generalisation of the limit definition of the Euler constant	P. M. Radmore and G. Stephenson	102
A series considered by Srinivasa Ramanujan	V. Ravichandran	105
On monotone subsequences	Lajos PintÉr	110
Rationally approximating square roots	Philip Maynard Yinghui Zhou	112
Another cotangent identity for the triangle	J. A. Scott	114
A round table problem	Dirk Segers	115
The return of the cotangent rule	Robert J. Clarke	116
On the family of subsets of a finite set	Thomas Koshy	118
Factorial factors	John R. Silvester	119
Cycles in graphs and derangements	Mehdi Hassani	123
Latin squares and their inverses	Emanuel Emanouilidis and Robert A. Bell	127
Pythagoras' theorem for quadrilaterals	Philip Maynard and Gerry Leversha	128
Pythagorean fish	Paul Stephenson	130
A remark on Steiner-Lehmus and the automedian triangle	Servettin Bilir and Neºe ÖmÜr	134
Some simple geometric inequalities	John Melville	136
Truncated polyhedra and Euler's formula	Gordon Haigh	138
An algebraic proof of Pascal's theorem	Peter Trier	139
Spread and product: some further thoughts	Douglas Quadling	140
More on spreads and non-arithmetic means	Douglas W. Mitchell	142
Traversing a windy circuit	Stuart Simons	144
Flight path of an elastically tethered projectile	Stuart Simons	147
The invariance of the moment of inertia of magic squares	Peter Loly	151
Obituary
Francis William Kellaway (1913-2003)	Douglas Quadling	154
Feedback		156
Correspondence		159
Problem Corner	Nick Lord	160
Student Problems	Tim Cross	166
Reviews		169

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