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Tangles
A personal investigation of Conway's Rational Tangles. What were
the interesting questions that needed to be asked, and where did
they lead?
Class 2YP from Madras College was inspired by the problem in NRICH to work out in how many ways the number 1999 could be expressed as the sum of 3 odd numbers, and this is their solution.
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
Suppose A always beats B and B always beats C, then would you expect A to beat C? Not always! What seems obvious is not always true. Results always need to be proved in mathematics.