The geometry the forms this vase is surprisingly simple - it's just 4 ellipses stacked vertically, but turned 90 degrees to each other. The bottom ellipse is actually a circle. These 4 curves are the control curves for a Loft surface - similar to my TwistedFlutes designs. Here's a 36 sec. video that gives a better view of the overall shape: https://www.youtube.com/watch?v=_QLVEs7F_1A

This part printed in just over 11 1/2 hours using a print speed of 80 mm/sec and a layer heght of 0.200 mm.