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In how many ways can you fit all three pieces together to make shapes with line symmetry?

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Rhombicubocts

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?

Shady Symmetry

Age 11 to 14 Challenge Level:

 

Begin by looking at all the patterns that can be made by colouring in just 1 cell, then 2, then 3, and so on...