The Puzzling World of Polyhedral Dissections
By Stewart T. Coffin

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

Chapter 8 - The Rhombic Dodecahedron and Its Stellations
The Second Stellation in Four Colors

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

Continuing in the same vein, shown in Fig. 105 are the six puzzle pieces for a four-color version of the Second Stellation Puzzle. Can you discover the logic of this coloring scheme? Hint: compare with the previous puzzle. Also note that the coloring produces reflexive pairs, as indicated by the broken line.

fig105

Fig. 105

There are several ways of assembling these pieces in color symmetry, as shown in Fig. 106. The simplest and most obvious is with each of the eight hexagonal dimples a solid color, with like colors opposite. Another way is with four triangles of solid color. The most elegant is with four hexagonal rings of solid color intersecting each other around the outside. The other ways are left for the curious reader to discover. Trying to solve all of these fascinating color patterns and being able to switch from one to another can be quite confusing arid entertaining.

fig106

Fig. 106

©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]