The Puzzling World of Polyhedral Dissections
By Stewart T. Coffin

[Home] [Contents] [Figures] [Search] [Help]

Chapter 15 - Dissected Rhombic Dodecahedra
Two-Tiered Puzzles

[Next Page] [Prev Page] [ Next Chapter] [Prev Chapter]

The 24-piece dissections of the rhombic dodecahedron and the Scorpius family of puzzles have many characteristics in common, including the fact that one fits exactly inside the hollow center of the other. This suggests the intriguing possibility of a two-tiered puzzle construction. With 48 individual blocks or sticks to work with, the possible puzzle pieces and combinations are practically limitless. Just one example is shown in Figs 144a and 144b. It is made of 48 identical blocks and has the assembled shape of the first stellation of the rhombic dodecahedron, slightly truncated. It may violate the rule that the simplest designs are usually the best, but it does so in such glorious fashion, who cares? Perhaps someone will now be encouraged to try a three-tiered design!

Editor's Note: Stewart named this puzzle The Split Star.

fig144a

Fig. 144a

fig144b

Fig. 144b

©1990-2005 by Stewart T. Coffin
For questions or comments regarding this site, contact the chief metagrobologist:

[Next Page] [Prev Page] [ Next Chapter] [Prev Chapter]