These vases are derived from six types of minimal surfaces: Schoen’s Batwing, Fischer-Koch C(Y), Fischer-Koch S, Schoen’s Gyroid, Schoen’s I-WP and Schwarz P.
See here for video: https://youtu.be/DHfah_F1H-k
The center hole is 26mm in diameter, designed to fit a 1 inch or 25mm decorative “test tube” found in hobby and dollar stores.
These vases are best printed without supports. There are areas of overhang and bridging in which you will get small areas of print failure on the bottom, but it is generally easier to just clean these up afterward than worry about supports. You will want to have your printer well calibrated for bridging.
A minimal surface can be thought of as a surface that is stretched as tightly as possible within the edges that hold it in place. The shape of a soap bubble that forms within a wire frame is an example of a minimal surface. These vases are derived from a special kind of minimal surface known as a “triply periodic minimal surface (TPMS),” a minimal surface that can be tiled infinitely in all three directions.
See here for more information about these and other TPMS: http://facstaff.susqu.edu/brakke/evolver/examples/periodic/periodic.html
These models where designed and printed as part of a review and test of the Snapmaker A350 3-in-1 Modular Printer. Learn more about this product here: https://shop.snapmaker.com/?rfsn=6248618.7afd7b