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The Scrambled Scorpius Puzzle, with its six dissimilar nonsymmetrical pieces and one solution, suggests by analogy a triacontahedral version with 12 pieces. No such design has yet been found and may not exist. If it did, it would probably be too difficult to assemble without instructions. The compromise version shown in Fig. 160 has two identical halves of six pieces each. The six pairs of puzzle pieces are all dissimilar and non-symmetrical. The puzzle has multiple solutions. It is possible to use multicolored pieces such that there is only one solution with color symmetry.
Fig. 160
The triangular sticks used in the Jupiter family of puzzles are of 36-54-90-degree cross-section. For the puzzle to be satisfactory, they must be glued together very accurately using a gluing jig with the same angles as the vertex of a triacontahedron. Probably the only practical way to make the base for such a jig is on a milling machine. The ends of the sticks should not be any longer than shown (Fig. 161) or there will be interference and the puzzle cannot easily be assembled.
Fig. 161
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