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For younger learners

  • Early Years Foundation Stage

Platonic and Archimedean Solids

Age 7 to 16
Challenge Level Yellow star

In a recent workshop, students made these solids.
Polyhedra 1

Polyhedra 2

Polyhedra 3

Polyhedra 4


Can you think of reasons why I might have grouped the solids in the way I have before taking the pictures?

If you want to find out more about these solids, their names and how they were made, you might like to read the article on Angle Deficiency.

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Proximity

We are given a regular icosahedron having three red vertices. Show that it has a vertex that has at least two red neighbours.

Platonic Planet

Glarsynost lives on a planet whose shape is that of a perfect regular dodecahedron. Can you describe the shortest journey she can make to ensure that she will see every part of the planet?

Three Cubes

Can you work out the dimensions of the three cubes?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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