Also known as a Halpern-Meier Pyramid, Trajber's Octahedron is a geometric puzzle similar to Rubik's Cube. Instead of simpler octahedral versions, which have triangular face sections, Trajber's Octahedron has three different kinds of face sections: triangles, trapezoids, and rhombuses.

One face of the octahedron looks like this:


                        /\
                       /  \
                      /    \
                     /\    /\
                    /  \  /  \
                   /    \/    \
                  /     /\     \
                 /     /  \     \
                /     /    \     \
               /_ _ _/_ _ _ \_ _ _\
              /     /        \     \
             /     /          \     \
            /_ _ _/_ _ _ _ _ _ \_ _ _\


It has six axes of rotation, and was first mentioned in Joseph Trajber's 1981 book, Der Werfül (The Cube). The optimal solution has at most twelve moves.

Trajber's Octahedron is patented under US patents US04558866 and US04453715, but I have been unable to find one for sale anywhere.
sources Joshua Bell. The Magic Polyhedra Patent Page. http://www.calormen.com/TwistyPuzzles/twisty.htm The Magic Plyhedra Patent Page 7/29/02
Jaap Scherphuis Pyraminx/Tetraminx. http://www.org2.com/jaap/puzzles/pyraminx.htm Jaap's Puzzle Page 7/29/02

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