Networks/graph theory
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articleA personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead? -
articleAn Introduction to Computer Programming and Mathematics
This article explains the concepts involved in scientific mathematical computing. It will be very useful and interesting to anyone interested in computer programming or mathematics. -
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articleThe Four Colour Theorem
The Four Colour Conjecture was first stated just over 150 years ago, and finally proved conclusively in 1976. It is an outstanding example of how old ideas can be combined with new discoveries. prove a mathematical theorem.
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articleA Curious Collection of Bridges
Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!
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articleSymmetric Tangles
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
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articleBehind the Rules of Go
This article explains the use of the idea of connectedness in networks, in two different ways, to bring into focus the basics of the game of Go, namely capture and territory.
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articleSufficient but Not Necessary: Two Eyes and Seki in Go
The game of go has a simple mechanism. This discussion of the principle of two eyes in go has shown that the game does not depend on equally clear-cut concepts.
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articleSome Circuits in Graph or Network Theory
Eulerian and Hamiltonian circuits are defined with some simple examples and a couple of puzzles to illustrate Hamiltonian circuits.
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articleThe Use of Mathematics in Computer Games
An account of how mathematics is used in computer games including geometry, vectors, transformations, 3D graphics, graph theory and simulations.