Is three the magic number of iterations for fractal foodstuffs? While perhaps slightly less elegant than the Sierpiński cookies, this recursively-constructed pizza makes a valiant effort:
The bottom layer is a conventional pizza crust topped with sauce, cheese, pepperoni, olives and smaller pizzas. These smaller pizzas use English muffins as crusts, a similar array of toppings, and smaller pizzas built on corn chips. While I admire the creators’ stated desire to achieve a 10-iteration pizza, I think they will have some serious logistical challenges making it past five or six.