The ability to pattern soft and living matter in three dimensions is of critical importance for several emerging applications. In my first talk, I will describe the fundamental principles that guide the design of printable materials and matrices for direct and embedded 3D printing. I will then introduce new ink designs and multimaterial printheads for patterning soft materials with spatially controlled composition, architecture, and mechanics. In my second talk, I will highlight our recent efforts to create vascularized human tissues through the tight integration of stem cell biology, organoid differentiation, and a bioprinting method known as SWIFT (sacrificial writing in functional tissue). Though broadly applicable, I will focus on our efforts to engineer cardiac and kidney tissues for drug testing, disease modeling, and therapeutic use.