y¡-yeah! That’s a super nice idea to make as a math project. It’s a Geometrical String Art made with thumbtacks and tights threads. Very easy! After making it you can decorate the classrom with them.
Here tou have a link to learn what a polytope is: http://en.wikipedia.org/wiki/Polytope_families and you can use these images as a pattern to make your own string art. And even more: that’s a nice craft to make with your math class.