Layered Dips

There is a seven-layer dip and a five-layer dip, but no other layers of dip are mentioned, and there isn't a generic term in common parlance for N-layered dip.

Last night, I got a buddy who's in cooking school good and drunk off sweet sherry, and he explained it all to me:

1-Layer Dip: Salsa
2-Layer Dip: Salsa and Sour Cream.
3-Layer Dip: Salsa, Guacamole, and Sour Cream.
4-Layer Dip: Salsa, Guacamole, Sour Cream and Ants.
5-Layer Dip: Salsa, Sour Cream, Guacamole, Refried Beans and Cheese.
6-Layer Dip: Salsa, Cement, Tangerines, Strawberry Jam, Fire and Sour Cream.
7-Layer Dip: Salsa, Refried Beans, Guacamole, Sour Cream, Tomatoes, Olives and Cheese.
8-Layer Dip: Salsa, Detroit, Leprosy, Guacamole, Cement, Orreries, Biscuits and Cheese.
9-Layer Dip: Salsa, Turnips, Ants, Ice Cream, Orchichalcum, Spiders, Sour Cream, Skin Cream, and Voodoo.
10-Layer Dip: Salsa, Meta-Salsa, Refried Beans, Guacamole, Sour Cream, Tomatoes, Cheese, Orichalcum, Lemons and Voodoo.
11-Layer Dip: Salsa, Heavy Water, Young Adult Novel by Daniel Pinkwater, Refried Beans, Guacamole, Poison, Kennings, Heroin, Pterodactyl Gizzards and Sour Cream.

5-layer dip and 7-layer dip happen to resolve to tasty combinations. Most of the others are either too trivial, or contain ingredients that are difficult,inedible, or both.

Then he sketched out a simple yet elegant inductive proof that for all N above 10, the N-layer dip would contain either heroin or leprosy.

"But," I complained to him, "Couldn't you just take a five-layer-dip and add olives, to get a six-layer-dip that doesn't have to contain cement and fire and stuff?"

And that, my friends, is why I'm spending this morning nursing a black eye and three bruised ribs.