Polyhedra

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Here are shadows of some 3D shapes. What shapes could have made them?

Can you find out which 3D shape your partner has chosen before they work out your shape?

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

The challenge for you is to make a string of six (or more!) graded cubes.

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

Can you work out the dimensions of the three cubes?

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?