Bending 3/4" plywood into right angles with a 4" bend radius
I have an idea for a stylized plywood coffee table that is all made from a single board of 3/4" Baltic Birch plywood. I've attached a .jpg of a coffee table base-design to this email. The bends on either side are 4 inch radius bends. Although I have basically no experience bending plywood, I sincerely doubt 3/4 inch plywood is going to bend into right angles at a 4 inch radius. I may be wrong, but if it is possible, I do not know how to do it, and certainly do not have the equipment.
I've seen on the internet very flexible sheets of plywood, but wouldn't that just get glued into position and then just collapse once un-molded? I can't believe that I am the only person who wants to do something like this. Any input?