In my case, I managed to print the Dodecathleon flower pot from the second attempt, after I added the improvements I mentioned in the model description and rotated the model a bit so there were no strictly horizontal planes. See the photo of the first attempt on the left.
The author remixed this model.
There are only two changes - 1) I made a bit thicker the transverse suspended ribs (I'm sorry for probably awkward names on these), because they were too weak in my print; 2) spheres were added on the corner of them to hide the ugliness of the modification made.
Use this model ONLY if you have concerns about the mechanical strength of the original one.