Contents
|
Editorial |
|
193 |
Articles |
|
|
| Fractal tilings derived from complex bases |
Sara Hagey and Judith Palagallo |
194 |
| How to buy a winning ticket on the National Lottery |
J. Brinkman, D. E. Hodgkinson and
J. F. Humphreys |
202 |
| The curious rectangles of Rollett and Rees |
P. N. Ruane |
208 |
| A proof of Lester's Theorem |
Ron Shail |
226 |
| Tumugu Sakuma's problem |
Fuzuko Suzuki |
233 |
| Critical sets in latin squares: an intriguing problem |
A. Donald Keedwell |
239 |
| S-P numbers in bases other than 10 |
Ezra Bussmann |
245 |
| The high jump ? the neglected straddle style |
Maurice N. Brearley and
Neville J. de Mestre |
249 |
Matters for Debate |
|
|
| Logic, language and life |
Bill Brakes |
255 |
Notes 85.23 to 85.48 |
|
|
| A Fibonacci query |
Robert J. Clarke |
267 |
| Numbers and their Digits ? III |
S. Parameswaran |
268 |
| Square-triangular numbers revisited |
Peter A. Braza and Jingcheng Tong |
270 |
| Another method for Pythagorean triples |
Hassan A. Shah Ali |
273 |
| An alternative characterisation of all primitive Pythagorean
triples |
Douglas W. Mitchell |
273 |
| More properties of Pythagorean triples |
Alfred and Dominic Vella |
275 |
| Cutting your fax bill |
S. Simons |
278 |
| The four number game and Pascal's triangle |
Jun Ji and Charles Kicey |
280 |
| On the order of a finite field |
Neville Robbins |
285 |
| Another proof of the arithmetic-geometric mean inequality |
J. Rooin |
285 |
| A geometrical representation of the classical means of two
quantities |
I. Grattan-Guinness |
286 |
| A maximum without calculus |
Desmond MacHale |
288 |
| Tangents revisited |
Mike Cooper |
288 |
| On identities following from trigonometric formulae of multiple
angles |
Grzegorz Rzadkowski |
289 |
| A trigonometric identity that G. S. Carr missed and a trigonometrical
proof of a theorem of Bang |
Mowaffaq Hajja |
293 |
| A curious identity |
S. Simons |
296 |
| A modification of the 'nesting' algorithm |
S. Simons |
298 |
| Even more series for pi |
J. A. Scott |
299 |
| Sharper bounds for the factorial of n |
Phillip Edwards and Munir Mahmood |
301 |
| On the Hermite-Hadamard inequality |
Constantin P. Niculescu |
304 |
| The return of Secret Santa |
A. V. Boyd and J. N. Ridley |
307 |
| Circle theorems and a property of the (2,3,4) triangle |
Tony Barnard and John Silvester |
312 |
| Comment on Note 83.51 |
A. Robert Pargeter |
316 |
| Note 83.51 revisited |
Cyril F. Parry |
316 |
| A Euclidean proof of Aubel's theorem |
Michael Fox |
318 |
| More on times of flight |
Michael A. B.Deakin and G. J. Troup |
321 |
Correspondence |
|
325 |
Notices |
|
329 |
Problem Corner |
G. T. Q. Hoare |
330 |
Students Problems |
Tim Cross |
336 |
Reviews |
|
339 |
