The TwistyPuzzles museum currently has [at least
] the following totals:
- 165 Cubic Shape Preserving
- 208 Cubic Shapeshifting
- 72 Octahedra
- 122 Dodecahedra
- 67 Icosahedra
My question to designers is: why the low numbers for octahedral puzzles? I can understand the numbers for icosahedral puzzles, since they are the most complicated geometry and are kind of the "last frontier" for platonic geometry, with the series of face-turning puzzles only recently being completed [Jason's Radiolarian
series]. Octahedral puzzles have been around since Bandelow's jewel [albeit, with trivial tips removed]. Why are there not more octahedral puzzles? It could be that since the cube and octahedron are duals, many of the octahedral puzzles already have cubic counterparts. But is this all? Or are designers just not interested in octahedral puzzles? Is it something about the geometry that makes them more difficult to work with?
This post is partly motivated by my recent reorganization of my collection. I sorted by shape, but I found that I have only 3 octahedral puzzles, 12ish dodecahedral, 7 tetrahedral, and dozens of cubic.