Explore the lattice and vector structure of this crystal.
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
Can you make a tetrahedron whose faces all have the same perimeter?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.