In terms of its gameplay, Qwirkle Rummy plays somewhat like Rummikub, with players laying down cards/tiles from their hand onto the table and possibly moving things around to create new sets.
On a turn, a player must add at least one card to the table, they can play as many cards as they like as long as they share a color or symbol. Players can create a new set if they play at least three cards or they can add her cards to existing sets (as long as there are no duplicates of color or symbol) or they can do both. On their turn, players can move cards from one set to another, possibly using these cards with cards that she plays in order to create a new set
The point of this gameplay is to create qwirkles, that is, a set of six cards that contains either each symbol in a single color or each color in a single symbol. When a player creates a qwirkle, she claims this set from the table. After a player's turn, she refills her hand to nine cards.
The game continues until the deck runs out of cards then whoever has claimed the most qwirkles wins!