Vases, pots and cups from a plain-English description, with the height, the diameters and the wall measured — and said plainly when it will not print.
A vase 100mm tall with 0.5mm walls.
A plant pot 120mm tall, 110mm across the top tapering to 80mm at the base, 2.5mm walls, with four 6mm drainage holes in the floor.
A pen cup 90mm tall, 70mm square, 2mm walls, open top, 3mm floor, with the corners rounded 8mm.
A container is a surface of revolution with a floor, which makes it the easiest family to describe and the easiest to specify into something that cannot be made. Two numbers do all the work: the wall, and the floor.
On a bracket, the wall thickness is a detail. On an open vessel it is the only material in the part, so it decides the strength, the weight, the print time and whether the thing stands up at all. An FDM printer with a 0.4 mm nozzle lays a bead about 0.4–0.45 mm wide; a wall of 0.8 mm is two beads that fuse, 1.6 mm is four, and anything under about 0.8 mm is a single bead with nothing to bond to on either side. The check on this site uses 0.8 mm as the floor and it is a floor, not a target.
"2 mm walls" almost never means "and a 2 mm floor". The floor carries the weight, it is the first thing printed and it is what leaks, so it usually wants to be thicker than the wall — 3 mm under a 100 mm vase is a reasonable starting point. If you do not say it, it is being decided for you.
The example below asked for a 0.5 mm wall. The chat said, before anything was generated, that 0.5 mm is below the FDM minimum and offered to make it 1.6 mm. The answer was to keep 0.5 mm. So the part was built at 0.5 mm, measured at 0.496 mm, and the report says plainly that it fails the print check — rather than quietly building a different vase that would have passed. That is the arrangement: you are told before you spend anything, you decide, and the report describes what you actually asked for. It is also why that example's badge reads best effort while every dimension on it is correct.
A slicer printing in vase mode runs one continuous bead in a spiral and never tries to make a solid wall, so a single-bead wall is the point rather than a defect. The geometry check here does not know which way you will slice it, so it measures the solid and reports against the general floor. A thin-walled vessel that fails the check can still be the right file — if you knew that when you asked for it.
The bounding box, the height, the volume, and the thinnest wall the print-readiness sampler can find, measured perpendicular to the surface rather than horizontally — which is why a 0.5 mm wall on a cone that leans 5.7° reads as 0.496 mm. What is not measured is whether it holds water, which is a question about your printer and your settings, not about the solid.