It looks as though you could get much of the benefit of a fractal antenna by simply weaving a thin wire through the holes of a square of pegboard.
For this exercise, it won’t matter which side of the board you’re on as you do your dance. It’s pretty much flat anyway.
The fractal antenna looks as though it could also benefit from stacking, as long as each layer is insulated or spaced apart from the next.
Another idea would be to use “baby chicken wire”, which has hexagonal cells. You would have to be careful to not destroy the integrity of the whole as you cut away the sections not needed.
We can all experiment with these concepts, harkening back to the days of tin foil on the rabbit ears, and their requisite attendant, the youngest child in the household.
Don't know about stacking -- RF is NOT my field. And my brief tests with reflectors indicated there wasn't much to gain from such,and definitely loss in terms on omnidirectional capability. It's cheap and it works fairly well -- what could be dearer to a Scottish heart?
Besides, I'm not the one watching teevee. *\;-)