This activity from Cre8ate maths explores the rotational symmetry of carefully chosen crystals. Initially students work with plain and coloured nets of cubes may use trial and improvement methods to find different possible rotations of symmetry, before exploring ways to be systematic in their investigation. For example, they might find all the rotations of the model which leave a particular face on top. This process is repeated for each of the crystal nets and the investigation then explores Euler’s formula, which is the relationship between the number of vertices, edges and faces for each crystal, before students test their conjecture on other solids. Worksheets are provided to develop and support the process of this activity.

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