You make 3-D! Look...
6 squares in one cube and you can do that with toothpicks too!
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You can arrange them into a cube to make the 6 faces of the cube, and the 12 toothpicks making up the 12 edges of the cube.
You can make 5 triangles out of 9 toothpicks. With 6 toothpicks, make a large triangle with 2 toothpicks for each side. Now, take individual toothpicks, and make a smaller triangle inside the larger one by joining the midpoints of the sides of the previous triangle. (The vertices of the smaller triangle are the midpoints of the sides of the larger one).
Because a triangular pyramid has 6 edges
24 toothpicks.
5 or 6 Depending on what shape you are thinking of