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Symmetric Tangles
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
Rolling Around
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
AP Train
An arithmetic progression is shifted and shortened, but its sum remains the same...
Calendar Patterns
Magic Squares
An account of some magic squares and their properties and and how to construct them for yourself.
Bundles of Cubes
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Hexy-Metry
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?