I have worked with nets of a shape in a lot of my math classes before. A net is a pattern that you can cut and fold to make a model of a solid shape. In MTH 495 this summer, we started working to form a cube, but with three different shapes. The three shapes that formed together to form the cube were a square pyramid, triangular prism, and triangular pyramid. This is not as easy as it sounds! Take a look at the original nets that make the 3D shape below.
Now, the nets below are the nets for the three shapes that once built, form together to make a cube.
As you can see there is a difference between the "typical" net for the shape, and the net needed to complete this task of having the three shapes form together to make a cube. Nets are fun to work with. I have found a fun website that allows you to move 3D shapes, see their nets, count the number of edges, and just lets you explore the shape. On this website you can even make your own net to see what type of shape it makes.
Illuminations Website
Illuminations Website