Here’s a pizza modeled after a variant of the Koch snowflake, and it’s perhaps a bit more aesthetically appealing than the previously posted pie. Sadly, an examination of the pepperoni distribution (not to mention the ever-so-cute tiny pepperoni themselves) will reveal that this is a ‘Shop job, so it seems that the three-recursion/edibility barrier has not yet been broken. Even were it to be real, you’ll notice that the fourth and fifth levels are incomplete, so we’d have to count it out in any case. [Edit: miscounted due to tiny WordPress editing window; there are four legitimate (if PhotoShopped) fully complete levels.)
(Via proofmathisbeautiful.)
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.
Edible Fractals: Evil Mad Scientist Labratories' Sierpinski Cookies
Recipes are often cited as an example of algorithms encountered in everyday life, but Evil Mad Scientist Laboratories have taken this a step further with their iterative process for producing these tasty-seeming cookies in the pattern of a Sierpiński carpet.
Sadly, they only take the process to the third iteration. I have to assume this is a limitation of the floury medium as they have another post with some stupendous seven-iteration Fimo Sierpiński triangles.