### Sponge Sections

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.

### Paper Folding - Models of the Platonic Solids

A description of how to make the five Platonic solids out of paper.

# Three Sets of Cubes, Two Surfaces

## Three Sets of Cubes, Two Surfaces

This activity has been particularly created for the most able. (The pupils that you come across in many classrooms just once every few years.)
It can be used as a follow-on from Two on Five.

You have interlocking cubes of three different colours - $2$ of one colour, $3$ of another colour and $4$ of the third colour.
It could look like this;

This is slightly different from Two on Five but is seen as an extension for the highest attaining. You might like to go there first!

The nine cubes are to be connected in the usual way with the following rules being applied.

THE TWO YELLOW CUBES ARE NOT ALLOWED TO TOUCH WALL OR FLOOR SURFACES.

THE THREE BLUE CUBES MUST TOUCH ONE SURFACE ONLY, NOT TWO.

THE FOUR RED CUBES MUST TOUCH BOTH SURFACES.

Here are two examples that obey the rules;

See what others you can find.
How many will there be?
At some point ask yourself "I wonder what would happen if I ...?"

### Possible approach

As this is designed for the highest attaining, it might be presented as on the website or in a one-to-one situation, encouraging discussion between adult and pupil. The pupils may need access to a computer program for drawing solutions.

### Key questions

Tell me about what you have found.
Can you describe the ways that you arrived at these shape arrangements?
How did you construct these on the computer?