Using Mutate in The Foundry is not in itself a novel idea, but I don't think most decks quite use it correctly.
The basic concept(s) of the deck:
Put out early game cheap ice such as Eli, NEXT, and Quandary. Rez it either through runs or Executive Boot Camp, pulling the other copy out of the deck. Once you've done this two or three times you can basically Mutate with impunity, since all that should be left is big ice.
Two copies of each cheap ice because it means you only have to fire The Foundry once for each type. If you want more cheap ice I would highly suggest picking new cards rather than increasing card counts to 3.
Put in the event/draw econ to help see the cards you want to see (Mutate and cheap ice) as soon as possible.
Don't be afraid to trash big ice from hand to Jackson them back into the deck later.
It isn't unfeasible to have a majority of all the ice in your deck out later in the game if you see some Mutates/Reclamation Order early, be sure to prioritize defending R&D because agenda density will be high. On a related note, this deck has difficulty against Noise Mill decks because it naturally thins itself. This is my reason for including Hades Fragment.
I include enough econ so that you hopefully also have enough money to threaten hard-rezzing things like Janus or Heimdall, which is obviously much more of a threat to the runner.
9 Dec 2014 Four_Leaf
10 Dec 2014 arthoron