Hamiltonian Cube
Find the length along the shortest path passing through certain points on the cube.
We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
Are these statements always true, sometimes true or never true?
Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?
Can you find out which 3D shape your partner has chosen before they work out your shape?
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?