Search by Topic

Filter by: Content type:
Age range:
Challenge level:

There are 10 results

Broad Topics > 3D Geometry, Shape and Space > Regular polyhedra

problem icon

Next Size Up

Age 7 to 11 Challenge Level:

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

problem icon

Shadow Play

Age 5 to 7 Challenge Level:

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

problem icon

More Dicey Decisions

Age 16 to 18 Challenge Level:

The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?

problem icon

Platonic and Archimedean Solids

Age 7 to 16 Challenge Level:

In a recent workshop, students made these solids. Can you think of reasons why I might have grouped the solids in the way I have before taking the pictures?

problem icon

Investigating Solids with Face-transitivity

Age 14 to 18

In this article, we look at solids constructed using symmetries of their faces.

problem icon

Paper Folding - Models of the Platonic Solids

Age 7 to 16

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

problem icon

Making Maths: Triangular Ball

Age 7 to 11 Challenge Level:

Make a ball from triangles!

problem icon

Child's Play

Age 7 to 11 Challenge Level:

A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?

problem icon

Redblue

Age 7 to 11 Challenge Level:

Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?

problem icon

Face Painting

Age 7 to 11 Challenge Level:

You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.