Create the Platform Framework
Find the midpoint along one of the long edges of the 36" x 16" x 3/4" piece of MDO. Make a small pencil mark 3/4" from the edge at that midpoint. This will be the pivot point for the carriage. Using a pencil and ruler, draw a radius from the midpoint you marked across the front of the MDO. Measure from the back edge out 10", and draw a line parallel with the back edge. This gives you the basic outline for the table. Using a jigsaw, cut along the 10" line you just drew until you get to the radius, then cut around the radius line and back down the 10" line on the other side. This will create the shape of the table. Turn the table over onto its back side. Nail six strips of 1" by 2" lumber to all edges of the table except the circular edge. These will act as supports for the table.