Can be done quickly using circle select. Run it along a line that connects hexagons in face select mode, delete and the sphere has a slice out of it. Select the two edge loops and bridge them: you’ll get a rectangular faced loop. From one of the rectangles, use circle select from hexagon centre to hexagon centre, but across the faces, for each half this will give you a frilly gap. Select the edge loop, unselect the two rectangle edges in it, and bridge again (have to do twice):
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