This format is true to its name, giving players the opportunity to be involved with a draft that doesn't necessarily have a specific endpoint. It also accommodates any number of players and allows participants to draft with any type of booster packs.
Each player starts by opening three booster packs and choosing one card to keep out of future drafts. In order to draft, you need to find another player with a 44-card pool. After randomly determining who will pick first, the players shuffle all 88 cards together. Player A reveals the top four cards and then selects one card of those cards. Player B then selects two cards, and Player A gets the last card. The process continues, alternating between Player A and Player B choosing first, until all the cards have been drafted. At that point, players add as many basic lands (Plains, Islands, Swamps, Mountains or Forests) as they'd like, build decks of at least 40 cards, and play.
Players compete in best two-out-of-three matches. When you finish a match, you take out the extra lands you added (getting back down to 44 cards) and repeat the drafting, building, and playing process with another player in the Continuous Draft. Your card pool constantly changes, and there are always new draft decks to play with.
Because you get to pull out one card from the original three boosters you open, that means you have a choice: Do you remove a really powerful card (meaning you won't risk losing it if someone else drafts it, but you won't get to play with it either), or do you remove a low-powered card you'll never miss? That's just the first interesting choice in a format that's chock full of them!