Dataset for: Multivascular networks and functional intravascular topologies within biocompatible hydrogels Bagrat Grigoryan1,∗, Samantha J. Paulsen1,∗, Daniel C. Corbett2,∗, Daniel W. Sazer1, Chelsea L. Fortin2, Alexander J. Zaita1, Paul T. Greenfield1, Nicholas J. Calafat1, John P. Gounley3, Anderson H. Ta1, Fredrik Johansson2, Amanda Randles3, Jessica E. Rosenkrantz4, Jesse D. Louis-Rosenberg4, Peter A. Galie5, Kelly R. Stevens2,†, Jordan S. Miller1,† 1Department of Bioengineering, Rice University, Houston, TX 77005, USA 2Department of Bioengineering, University of Washington, Seattle, WA 98195, USA 3Department of Biomedical Engineering, Duke University, Durham, NC 27708, USA 4Nervous System, Somerville, MA 02143, USA 5Department of Biomedical Engineering, Rowan University, Glassboro, NJ 08028, USA ∗Equal contribution. †Corresponding authors. Email: ksteve@uw.edu (K.R.S.) and jmil@rice.edu (J.S.M.). Solid organs transport fluids through distinct vascular networks that are biophysically and biochemically entangled, creating complex 3D transport regimes that have remained difficult to produce and study. We establish intravascular and multivascular design freedoms with photopolymerizable hydrogels using food dye additives as biocompatible yet potent photoabsorbers for projection stereolithography. We demonstrate monolithic transparent hydrogels produced in minutes comprising efficient intravascular 3D fluid mixers and functional bicuspid valves. We further elaborate entangled vascular networks from space-filling mathematical topologies and explore the oxygenation and flow of human red blood cells during tidal ventilation and distension of a proximate airway. In addition, we deployed structured biodegradable hydrogel carriers in a rodent model of hepatic disease to highlight the potential translational utility of this materials innovation.