Since it is such a complicated process, I'm just going to copy and paste the instructions from the article:
"The first step in getting this deck running is often the last step in other decks: Make a large amount of mana and cast Genesis Wave. The goal here is to get one of the infinite mana combos on the battlefield, along with Staff of Domination. Metalworker and Voltaic Construct is the main one, and Mycosynth Lattice enables Priest of Titania to work with the Construct as well.
Another Genesis Wave will put your entire deck on the battlefield, and Elixir of Immortality will shuffle all the nonpermanent cards into your deck, where you can draw them with Staff of Domination. The end result should be every permanent in your deck on the battlefield and everything else in your hand.
Cast the Research half of Research & Development, grabbing a few cards from your sideboard. (Mycosynth Lattice means you don't have to worry about the colored mana.) Shuffle everything back in with Elixir of Immortality, and draw it all with Staff of Domination. Repeat this process until all your sideboard cards are in your hand.
Cast Hive Mind, then cast Channel the Suns to add one mana of each color to your mana pool as well as your opponent's. Shuffle it back in with the Elixir and draw it with Staff of Domination, casting it repeatedly until both players have an arbitrarily large amount of mana of each color in their mana pools.
After that, you'll need to cast Vedalken Orrery, Mirror of Fate, Cast Through Time, and Door to Nothingness. Here's where things start to get a bit crazy.
Use Staff of Domination to put its card-draw ability on the stack seven times. Then sacrifice Mirror of Fate, putting its ability on the stack as well. Mirror of Fate doesn't target, so you can worry about what you'll be choosing later.
Now cast Paradigm Shift. Hive Mind will give your opponent a copy of the spell. Cast Through Time will give it rebound, so that the card will be exiled when it resolves instead of being put in the graveyard. You won't be choosing to cast it again on your next upkeep, so you don't need to worry about remembering that bit. Sacrifice Elf Replica, targeting Hive Mind, letting just that ability resolve. Cast Decree of Annihilation, which will also be given rebound for the sole purpose of exiling it.
With all of these things still on the stack, cast Oblivion Ring and let it resolve, exiling Door to Nothingness. Cast the second one and exile Vedalken Orrery. Now it's time to let the stack resolve. It should look something like this:
Decree of Annihilation
Paradigm Shift (opponent's copy)
Paradigm Shift (original)
Mirror of Fate's ability
Seven instances of "Draw a card"
Decree of Annihilation resolves, exiling all cards from all graveyards and hands, and thanks to Mycosynth Lattice, all permanents of any type. Thanks to rebound it will be exiled, so your graveyard will still be empty afterward. Vedalken Orrery and Door to Nothingness return to the battlefield from their Oblivion Ring-induced exile. Now Paradigm Shift resolves for each player, exiling both libraries and leaving no cards in any zone other than exile.
Now Mirror of Fate's ability resolves. In order to continue, get back these seven cards:
Upwelling
Omen Machine
Lich's Mirror
Donate
Twiddle
2 Oblivion Ring
The last thing on the stack is the seven copies of Staff of Domination's "draw a card" ability. Let those resolve, putting the seven cards you just retrieved into your hand.
Cast each permanent save the two Oblivion Rings. Use Donate to give your opponent Door to Nothingness, and Twiddle to untap it. Remember that both players still have an arbitrarily large amount of mana of each color from Channel the Suns, since you haven't changed phases yet.
You opponent now has three choices: activate Door to Nothingness targeting himself or herself, activate Door to Nothingness targeting you, or do nothing. Getting your opponent to effectively concede using the Door is your goal, but it won't always be so easy.
If your opponent targets you with the door, cast the two Oblivion Rings with the ability on the stack, exiling Omen Machine and Vedalken Orrery. Once the Door's ability resolves, Lich's Mirror will shuffle everything into your library, then the draw seven cards bit will put it all back in your hand. Omen Machine and Vedalken Orrery will return to the battlefield. Thanks to the Orrery, you can cast everything at instant speed, essentially resetting the board and giving your opponent the opportunity to make the correct decision.
If your opponent does nothing, you'll eventually need to force the win. Use Oblivion Ring to exile Omen Machine during his or her upkeep. Even if your opponent tries to kill you with the Door in response, Lich's Mirror will prevent you from dying as well as getting rid of Omen Machine itself, clearing the way for your opponent to draw a card and lose the game.
If you're not so into giving your opponent choices, you can also replace Omen Machine or Lich's Mirror with Mindslaver, forcing your opponent to use the door."
Yeah, that's about all.