Platonic solids investigation

Discover the finite number of possible platonic solids

Key stage: 2
Subjects: mathematics, shapes


Platonic solids are the set of regular 3d shapes. Unlike regular polygons, of which there can be an infinite number, the group of fully regular solids is small. In 3d regularity entails - all faces to be the same; all faces to be a regular polygon (resulting in all edges of the 3d shape being equal in length) and the same number of faces to meet at each vertex).

In this activity pupils undertake a guided investigation, looking for all the regular solids. Cardboard shapes are combined using given rules and pupils are able to discover the small and finite number of possible platonic solids.

Teachers should read through the activity ideas and make their own risk assessment for them before proceeding with them in the classroom.

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