If the style has a specific name, I am unaware of what it could be.
I do not believe the large cake is actually resting on the small cakes circling the base tier. It is supported by something slightly smaller than the first large tier (like a 8" styrofoam cake dummy supporting a 10" base tier) and slighly taller than the small cakes so the small cakes can slide right underneath the edge of the large tier making it appear that they are supporting the rest of the cake.
I think the style is so elegant and lovely, like Kate's and Harry's. It would be perfect for someome who needed to serve a lot of people or wanted several different flavors. Congratulations on your daughter's up comping wedding. Good luck with her cake. Can't wait to see pictures!
Or this: 
Or this: 
there really isn't a name for that that I know of. Just do it :) I have done several but don't have access to the pix anymore. You just have to put either the 12" on the bottom and place you round around it then add the 10,8,6 OR put something like a box or dummy in the center, stacking the other tiers on top of that. For the one here, I used 1 layer of round cake cut in 1/2 & stacked, placing them against a lg sq tier.
i think it was called lady windermere or something like that?
Back in the 1970s-80s, Wilton called that a "Lady Windermere" .
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