Make a cube out of straws and have a go at this practical
Reasoning about the number of matches needed to build squares that
share their sides.
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
Here is a picture of the five Platonic solids:
Imagine you want to make each of the five Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.
Can you find the least number of colours for which this is possible for each polyhedron.
How did you go about finding your solutions?
If you'd like to make these solids out of paper, have a look at Ian Short's article.