The cup is simply concentric rings cut at an angle then stacked and sanded to shape
You will need 1/2" Thick wood for the cup and 1/4" Thick wood for the foot and stem ring. I also used 5 inches of 5/16" diameter dowel for the stem.
There are only three rings that require an angle cut so I made all the 90 degree cuts first. I only cut the angles on the interior of the rings because its easy to just sand the exterior of the cup to shape with power sanders.
Drill the interior hole at the angle shown on each piece.
Make the angled interior cuts.
Lay out all the pieces in the correct order.
Stack and glue the cup together.
Don't glue on the bottom until after you have the interior of the cup sanded. This gives you better access to make the interior nice and smooth.
I used an assortment of power and hand sanding equipment to smooth and shape the cup. After the cup is completely sanded glue on the stem assemble and finish.