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Mathematical Papers

To appear

Proofs by folding of the angle sum of a triangle

The Mathematical Gazette, Volume 102 (March 2018)

“But the pleasure of learning and knowing, though not the keenest, is yet the least perishable of pleasures; the least subject to external things, and the play of chance, and the wear of time. And as a prudent man puts money by to serve as provision for the material wants of his old age, so too he needs to lay up against the end of his days provision for the intellect.”—A E Houseman

Published articles

Generalising an SMC problem

The Mathematical Gazette, Volume 101 (November 2016)

Generalising the arbelos

The Mathematical Gazette, Volume 100 (July 2016)

Where is the centre of a polygon?

The Mathematical Gazette, Volume 99 (March 2015)

Knots in the classroom

Mathematics in School (March 2015)

Shapes with a skew square as boundary

The Mathematical Gazette, Volume 97 (July 2013)

Folding a triangle

The Mathematical Gazette, Volume 97 (July 2013)

Dissecting pentominoes

Mathematics in School (March 2013)

Two semicircles fill half a circle

The Mathematical Gazette, Volume 95 (November 2011)

The Dance of the Foci Morphs into a Strophoid

The College Mathematics Journal, Volume 42 (September 2011)

Proofs by dissection of a dodecagon

The Mathematical Gazette, Volume 95 (March 2011)

Folding paper

The SMC Journal 40 (December 2010)

Sudoku is four-dimensional

The Mathematical Gazette, Volume 94 (July 2010)

Geometry by numbers

The SMC Journal 39 (December 2009)

A surprising relationship?

The Mathematical Gazette, Volume 91 (March 2007)

Dissecting a triangle into a rectangle

The Mathematical Gazette, Volume 89 (November 2005)

Dissections

Maths Challenges News, Issue 9 (May 2001).

Playing with Dice

Maths Challenges News, Issue 8 (February 2001)

Parity

Maths Challenges News, Issue 5 (September 1999).

The volume of the \(n\)-ball

The Mathematical Gazette, Volume 82 (March 1998)

Quadric quadrilaterals

The Mathematical Gazette, Volume 81 (July 1997)

Fair means

The Mathematical Gazette, Volume 81 (July 1997)

Chords, tangents and cubics

The Mathematical Gazette, Volume 79 (July 1995)

A polyhedron and its volume

The Mathematical Gazette, Volume 68 (October 1984)

Miscellany

A collection of resources for teachers, unpublished articles and notes, made freely available.

Three squares.

Enumerating nets.

Rings of regular polygons.

An elementary proof of the converse of Anne’s theorem

How to fold simple shapes from A4 paper

A graph with a unique Hamiltonian circuit

Chords and regions

Trigonometry and the nonagon

The central region of the Mandelbrot set

A derivation of the quadratic formula

BMO 2004/5 Round 1 question 5

Langley’s triangle problem

Newton’s derivation of Kepler’s second law

A generalisation of Pythagoras’ theorem

Times of flight in a resisting medium

Presentations

Resources for teachers, made freely available.

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Spherical geometry

PDF documents

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