This item references draft booster packs.
In a booster draft, several players (usually eight) are seated around a table and each player is given three booster packs. Each player opens a pack, selects a card from it, and passes the remaining cards to their left. Each player then selects one of the remaining cards from the pack that was just passed to them, and passes the remaining cards to the left again. This continues until all the cards are depleted. The process is repeated with the second and third packs, except that the cards are passed to the right in the second pack. Players then build decks out of any cards that they selected during the drafting and add as many basic lands as they choose. Each deck built this way must have a minimum of 40 cards, including basic lands.
The sprite is a reference to the Invasion booster, the twenty-first Magic expansion, was released in October 2000 as the first set in the Invasion block.
The gameplay effect of this item also mimics booster drafting, getting 3 cards initially and then 1 for each floor, the floor being a metaphor for a player passing a booster pack after choosing their own card.