perfect thermals

.... don't exist in the real world.. most (all) of the time, ya I know.

But I'm trying to get a "picture" in my mind of what is happening in
the sky.

So, a hypothetical situation : Pretend you are designing an "ideal
thermal generation field" that's 100 square miles in size. The terrain
is perfectly flat (because that's where I'm flying right now ). You
can cover it with any kind of surface that you want ! Or you can
create "gaps" / areas, if that will make it more efficient.

You can also specify any kind of atmospheric conditions that you'd
like, but they have to be possible in real life.

The objective is to create as many strong / high / wide thermals as
possible in the area.

With "perfect" terrain and atmosphere, how high would the thermals be?

How wide would they be?

How far apart would they be?

Mike