First make 6 paper sticks, all the same length, by rolling paper tightly round pieces of string and securing with sticky tape. Then make a rhombus by tying together 5 sticks to make 2 equilateral triangles. Use the rhombus and the one remaining stick to make a shape with 4 triangles. What do you notice about the shape that you have made?
For the second puzzle make 12 paper sticks and tie them together making 3 squares, preferably in 3 colours. Make the 3 squares into the skeleton of a solid shape that has 8 triangular faces (an octahedron).