Collected here is any of my published writing that comes under the 'straight mathematics' banner.

(My 'mathematics education' writing can be found here.)

Equation Solving
*(introducing Triples)
Mathematical Spectrum, *Volume 35 Number 3, June 2002/3

The Box Problem Extended* (presented as a problem)
Mathematical Spectrum,* Volume 35 Number 3, June 2002/3

with solution in Volume 36 Number 2, Jan 2003/4

Periodic Recurrence Relations of the form y^{k}/x

* Mathematical Spectrum, * Volume 37 Number 2, 2004/5

(with a related letter from Nick Lord in a subsequent issue

reprinted HERE with his kind permisson.)

Totally Perfect Siders

* Mathematics in School,* Volume 34 Number 3, May 2005

Could Pi be Three?

* Mathematical Gazette,* Volume 90, Number 517, March 2006

Square Tessellations

* Mathematics in School, * Volume 35 Number 4, Sept 2006

Pearl Tilings

* Infinity* Issue 5, October 2007, published by Tarquin

For this and related Tarquin products and special offers

see www.tarquingroup.com

Sumlines

* Mathematical Spectrum, * Volume 41 Number 2, 2008/9

(with a related letter from Nick Lord in a subsequent issue

reprinted HERE with his kind permisson.)

Pineapple Triangles

with Derek Ball

Published in *MTi*, the interactive online magazine of the ATM, Jan 2010

Lopsided Numbers

with Pete Brayne and students from Paston College

* Mathematical Spectrum, * Volume 43 Number 2, 2010/11

Dual Rectangles

with Graham Everest

Preprint at arXiv, http://arxiv.org/abs/0906.3096

* Mathematical Spectrum, * Volume 43, Number 3, 2010/2011

JG MSc at UEA, Lyness Cycles, Elliptic Curves and Hikorski Triples

with Graham Everest, Tom Ward and Shaun Stevens, 2009-2012

r = a + 1/a problem

*Mathematical Spectrum, * Volume 41, Number 3, 2008/2009

The Friendly Circle Theorem

*Mathematics Teaching Interactive,* No 1, Jan 2011

Fibonacci-related sequences via iterated QRT Maps

with Martin Griffiths

*Fibonacci Quarterly, Volume 51, Number 3, August 2013*

Nomo Triples

* Mathematical Spectrum, * Volume 46 Number 1, 2013/14

Finding Arbitrarily Many Integer Solutions to the Equation k^{2}-5=t^{2}-5u^{2}

* Mathematical Spectrum, * Volume 46 Number 3, 2013/14

Triangle Centre of Mass Problem

* Mathematical Spectrum*

2014 thoughts

* Mathematical Spectrum*

A pair of Fibonacci-like polynomials arising from a special mapping

with Martin Griffiths

Lyness Cycles and their Invariant Curves

with Martin Griffiths

* Mathematical Spectrum*

Hikorski Triples

* Mathematical Spectrum*

The Fiddlehead Tile

* Mathematics in School*

The Not-On-The-Line Transformation

* Mathematical Gazette*

Identities connecting the Chebyshev Polynomials

*Mathematical Gazette*

Making Averages Whole

*Mathematical Spectrum*

When the Coefficients are the Roots

*Mathematical Spectrum*

OEIS sequences authored by me (or where I am mentioned);

A001045, A001654, A061646, A228161, A180870, A228565, A228637, A007698, A228356.

These are mainly to do with the Chebyshev Polynomials of the second, third and fourth kinds.

__Journal Addresses__

Mathematics Teaching Interactive

A Journal of the Association of Teachers of Mathematics

Mathematical Spectrum

A magazine for students and teachers of mathematics in schools, colleges and universities

and for everyone interested in mathematics (ceased Summer 2016).

The Mathematical Gazette

A Journal of The Mathematical Association

Mathematics in School

A Journal of The Mathematical Association

Infinity

Mathematical Puzzles and Diversions, Tarquin Publications (ceased )

Fibonacci Quarterly

The focus for worldwide interest in the Fibonacci number sequence and related mathematics

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