They propagate well here. Wife harvests an overloaded wheelbarrow full each fall. Gives dozens away and we still have pots full blooming during winter months. Provide the postage and I will mail you, or anyone, a few choice bulbs.
Perhaps the easiest construction is to attach the stone to the seat of a 3 legged stool.
But where's the fun in that?
Many years ago now, Woodwork Magazine had a three legged side table where the legs attached to the top using blind tenons. In your case you could use a ply false top and wedged through tenons -- round through tenons are perhaps the easiest to make.
But back to the Woodwork Magazine table, the legs were stiffened with laminated curved stretchers forming a triangle with curved sides.
Bill, I recall sending you some tracings of a modern cabriole coffee table of mine that you had admired. That leg design might work for this table, and it would be strong enough without a bottom rail if you use heavy duty rails mortised soundly into the legs. I used double loose tenons on those tables of mine and they're plenty solid yet delicate looking (IMO, of course). Here's a rough idea of the concept...
One thing that concerned me with your initial post was the notion that you might be doing some cutting and/or serving on it. I think that a height of 20" off the floor is too low to do either of these things handily, and that the sideways racking forces of carving a turkey or ham would either rack the structure of the base or create tipping forces, a worry in a design that is taller than it is wide. In any event, I'd go for legs that splay out at least slightly where they meet the floor, creating a footprint that's a little wider than at the top. It has always seemed to me that this makes it harder to tip.
Round table tops on square bases have always bothered me a bit. Another alternative might be to make curved rails that echo the shape of the top. you could either laminate them or brick lay them like traditional demi-lune rails and veneer them. On a table this size you could probably get away with bandsawing them from heavy stock.
Probably not right for your dining room, but this one takes care of Ellis' concerns. The splayed legs make for a very stable structure, and it was fun to build.
[url=https://flic.kr/p/FozdU5][/url][url=https://flic.kr/p/FozdU5]IMG_0087[/url] by [url=https://www.flickr.com/photos/158680038@N03/]Hank Knight[/url], on Flickr
I was able to find 4 orthogonal points on the top that came close to a square.
I probably misled with the carving/serving function. This rare function is currently served adequately with a 20" high wicker table from the porch. Maybe not a traditional carving station for a carving presentation but it gets the job done. (I set and table is beside chair) Carved pieces get "served" onto a platter that gets passed around. 99.999% of the table life will be as a plant stand or other low table function.
Maybe consider a "regular shaped" bottom with a field routed out that would accommodate the petrified wood and still leave an inch or so gap between the stone and the rest of the bottom piece.
The gap could serve as a drainage channel for carving juices or plant overwatering. Maybe even a cork for easy drainage and cleaning.
Of course, the bottom would need to be made from a waterproof material such as corian or something like that.