As mentioned in the episode,
Bill Cutler analyzed the classic solid burr puzzle in 1978. Other
compilations are given in
The Puzzling World of Polyhedral Dissections by Stewart Coffin.
Burr puzzles with interior holes allow for more complex solutions
with one example being
Bill's Baffling Burr, which requires 5 moves for the first
piece to be removed. An extreme example in simple 6-piece burrs is
Gordian's Knot
by Frans de Vreudg, which requires 28 moves to remove one piece. A variety of different burrs are compiled at the site
Puzzle will be played by Ishino Keiichiro. Many of these puzzles can be solved and
analyzed by the free program
Burr Tools.