Pyramorphix

The Pyramorphix is a three-dimensional mechanical patience game for one player, which arose in the wake of the popularity of the cube and with which it has to do far more than just follow a similar gameplay. Although at first glance, acting as a smaller version of Pyraminx, the rotation mechanism is different, whereby the Pyramorphix can change its shape.

Description

In the initial position the Pyramorphix is a two-inch large regular tetrahedron. Each of its four side surfaces has a different color and each divided into four equilateral triangles. If one went from a small version of the magic pyramid, so you could turn each of the tips for themselves and the puzzle would be very easy to solve. In fact, the rotating mechanism is the same as that of the pocket cube. Pyramorphix the three mutually perpendicular axes of rotation which lie in the transversely tetrahedra and are square. Any rotation has to be carried out by a multiple of 90 ° and always moves one half of the puzzle. Thus, it consists of eight moving parts, four are the three colored peaks, four are the solid colored center panels. Because of the two different-shaped varieties of parts, the Pyramorphix changed its external shape while rotating. The aim of the game is to get to the starting position again from a twisted state.

Solution ( number of moves and shapes)

The Pyramorphix assumes six different forms, including pyramid, Ufo, turtle or tortoise. The surfaces of revolution can be with those of associate Pocket Cube, and so you can choose any of there known solution strategy also apply to the Pyramorphix. The exact number of all possible positions results from this point of view. While the Pocket Cube all eight parts carry three colors and thus their orientations may be wrong, which is possible with Pyramorphix only half of the parts. In the solid colors it does not matter whether they are twisted or not.

The Pocket Cube has (Faculty ) 7! × 36 = 3.67416 million different positions. The lack of orientation of the middle parts when Pyramophix leads to a reduction factor of 33 He thus 7! × 33 = 136 080 different positions, spread differently to the six forms.