Petal projections provide a way to describe knots in the 3-sphere using combinatorial information. In this talk we will discuss a generalization of this notion to knots in arbitrary three-dimensional spaces. In order to do this we will equip our spaces with open book decompositions, which are a way of decomposing a 3-dimensional space into a collection of 2-dimensional pages and a 1-dimensional binding. We will outline a proof showing that all knots can be represented in this way, and discuss further research directions.