My talk will be on geometric spaces called orbifolds. These are, roughly speaking, smooth objects with cone points or folded edges. I will use these to depict how various classes of objects, such as triangles or musical chords, can be given a natural geometry. This will be a very hands-on talk with plenty of models, pictures and maybe even sounds! There will also be free (edible) models of orbifolds with corner reflectors at the half time interlude for all audience members.