Great little vase. I want to make a larger one soon. I messed with extrusion width on this one and ended up with some gaps on the bottom.
I used Simplify3D to create different settings. The base is a bit denser and I included a certain percent infill to get that honeycomb right in the middle of the base. I set the extrusion width to 0.8mm on a 0.4mm nozzle. The rest of the vase was printed in vase mode.