mommamia22; No the succah roof stays flat as well as the schach.
there is just a frame of wood built to sit atop the schach.
like four pieces for the frame.
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then four pieces like the legs of a table going up on each corner.
first two shorter back two longer
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then a frame above them, leaving you with a frame work that allows
to place a tarp above it that can be rolled down above succah and schach! hard to draw here.
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now that looks like a 5yo drawing, sorry.