With apologies to Kingpen, and the hope that he'll correct my errors, here is my best guess at the design of this very cool table. Done on sketchup, using King's comments and stopping the video to catch a detail. I love a good challenge and I hope my stubbornness paid off. Simplicity is the key to all elegant designs, and this table has it in spades.
The base unit is a cart, 18 x 24 x 24 deep. Kingpen used 5" wheels, but the model has 6" wheels because I could not find them in 5". The actual size of the casters affects the dimensions of the folding leg.
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The two wings are 3/4 plywood, 24 x 32, attached to the cart with piano hinges. Kingpen suggested the piano hinges seemed weak, but Rockler has a piano hinge that is more structural.
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The panel supports can be made out of 1 x 6 hardwood (for durability), but plywood will do just fine. The angles for the sliding sections are 15 degrees, and are dadoed for easy replacement of a plywood sacrificial insert.
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The legs are the key, and I hope the illustration shows what I think Kingpen did. I put the locking flaps in their table open position, and if you saw the video, they are attached to the leg with a 175-degree Euro hinge. The triangles are fixed to the top using pocket screws and like Kingpen suggested, they are there to stop the leg from swinging out past 90.
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Corrections and suggestions are welcome. I can send the Sketchup file to whoever asks. Thanks to Kingpen for the inspiration...