The Puzzling World of Polyhedral Dissections
By Stewart T. Coffin

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Chapter 5 - The Six-Piece Burr
Burr No. 305

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Cutler's computer analysis told only what was possible, not what was most interesting. Actually it might possibly have done that too if appropriately instructed. For example, from the list of the 314 solid notchable combinations, suppose one first eliminates all those using duplicates (or triplicates) of identical pieces and pieces having an axis of symmetry. Also eliminate combinations with more than one solution. This narrows the field down to 18, of which all but one (and its mirror image) employ a rather common and uninteresting two-piece key arrangement. What emerges from this screening process is a marvelous burr. It is called Burr No. 305 because of its location in Cutler's tabulation. It uses pieces 6, 12, 14, 21, 22, and 23 (Fig. 68).

fig068

Fig. 68

©1990-2005 by Stewart T. Coffin
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