I covered cardboard with the Wilton foil and then cover it in Red fondant for the bubble gum machine cake that is in my pictures. It's the piece that is right under the gumballs. I don't see why you couldn't do it for a grad cap, but I've only been doing this for a year so I'm no expert. HTH
for the top part, make it out of gumpaste and let it dry, no need to use a board
for the top part, make it out of gumpaste and let it dry, no need to use a board
I agree, I just made one this way (in my photos) it worked extremely well. I made 2 just in case 
I rolled it about 1/4 thick and let it dry for about 4 days.
HTH
You can cover it in fondant without covering it with foil also. If you have tylose, just add a little tylose to the fondant work it in, let it rest a couple of minutes. Then roll it out. Let it harden for about 20 minutes then then cut it with an xacto or pizza cutter. When you cut it use the cardboard as your template. Cut the fondant just a little larger than the cardboard so you have a small lip to moisten on one side and a lip on the other side to to stick to the moistened side.
Use another piece of cardboard to support the pieces of fondant when you flip it to stick on the cardboard.....
I hope that made sense....
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