6.AY.1. O'BEIRNE'S STEPS
This is a cube dissected into 6 pieces which form 6 cuboids, each of which can be 'staircased' in two ways. There is a 6-cycle through the cuboids, with relative sizes: 12 x 12 x 12, 8 x 12 x 18, 8 x 9 x 24, 12 x 6 x 24, 16 x 6 x 18, 16 x 9 x 12. I have a fine example using six different woods, that had been made for Tom O'Beirne, from Mrs. O'Beirne.
Richard K. Guy. Op. cit. in 5.H.2. 1960. Pp. 151-152 describes O'Beirne's invention.
T. H. O'Beirne. Puzzles and paradoxes -- 9: A six-block cycle for six step-cut pieces. New Scientist 9 (No. 224) (2 Mar 1961) 560-561.
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