Buy the glass top. It will be very difficult to get anything close to Noguchi’s original design unless you are a professional glass cutter. The shape is a triangle with sides of 30 inches, 40 inches and 50 inches. The corners are rounded so the triangle appears to be bulbous and the edges are beveled.
Find two pieces of high-quality hardwood without flaws. Start with two pieces that are 16 inches by 36 inches. You only need an arch that uses about half of the wood, so flaws or missing pieces in the middle on one side are acceptable. The two pieces need to be shaped and sanded into the Noguchi shapes.
Look at the Noguchi shapes in the museum of modern art, almost any good furniture design book or hundreds of places online. There is no name for the shape – it has to be seen. Both pieces should be identical. It is worth your time to build a small model only a few inches big, just to get a feeling for the shape of the two wooden parts. It is better to waste a dozen tiny models than one or two full-sized models.
Assemble the table. At the point where the two wooden pieces meet, drill a 2-inch hole in each piece and insert a 4-inch dowel to hold the pieces together. Do not glue the dowel in place – it will make the table easier to disassemble and move. Position the glass so that the “corner” between the 30-inch side and the 40-inch side is over the point where the wooden legs meet at a 90-degree angle.