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The Mathematical Gazette Jul 2006

Mathematical Gazette
July 2006



Contents

Editorial   193

Articles
  
The tercentenary of π Ll. G. Chambers194
Viète, Descartes and the cubic equationR.W.D. Nickalls203
The arithmetic of cuckoldry in family treesRoger Voles209
On generalised Fibonaccian and Lucasian numbers Peter Hilton & Jean Pedersen215
Counting zeros of generalised polynomialsG. J. O. Jameson223
Magic Hexagons - Magic MomentsJohn Baker & David King235
Interlinked loopsG.C. Shephard249
Facetting diagramsGuy Inchbald253

Notes 90.32 to 90.58

  
Powerful numbersPaul Belcher262
The r-subsequences of the Fibonacci sequenceJohn R. Silvester263
On triples of integers having the same sum and the same productJuan Pla267
More on the family of subsets of a finite set Nick Lord273
Bernoulli's power-sum formulas revisitedTom M. Apostol276
Different aspects of the cosine ruleRobert J. Clarke279
Another approach to the trisection problemJosé Carlos de Sousa Oliveira Santos280
On a family of polynomialsGrzegorz Rzqdkowski 283
A new version of Stirling's formulaMichael D. Hirschhorn286
Introducing the Dirac delta functionStuart Simons292
Extension of an inequality of H. AlzerChao-Ping Chen & Fenq Qi293
On Euler's constantMichael D. Hirschhorn 295
A triangle formulaRoy Barbara298
On integer-sided triangles containing angles of 120° or 60°Emrys Read 299
Fuss' theoremJuan Carlos Salazar 306
A cyclic property of equilateral polygonsLarry Hoehn308
On the Adams circleJ. A. Scott309
An attenuation formula for the Neuberg sequence J. A. Scott311
Lattice points in a family of hyperbolasThomas Koshy314
A theorem about rectangular hyperbolaVladimir Volenec316
Tetrahedra and vectorsAdam Korányi 317
An inequality associated with the equifacial tetrahedron J. A. Scott320
The new neighbours problem: a solutionMichael D. Hirschhorn321
The 'derangements' relation visualisedPaul stephenson324
A lack of memoryMartin Griffiths 326
Speeding things upStuart Simons330
Som Surprising results associated with permutations Kavita Laghate and M. N. Deshpande333
Obituary  
Peter Brian Coaker (1928-2005)Michael H. Price 337

Feedback
 
340

Correspondence

350

Mathematical Humour Corner

Des McHale

352

Problem Corner

Nick Lord

354

Student Problems

Tim Cross

361

Reviews

365

Acknowlegements

384


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