Abstract: A movable block geometrical puzzle having eight core pieces and having rotatable pyramid pieces connected to plane surfaces formed by surfaces of at least two of the core pieces. The block puzzle employs the 2.times.2.times.2 configuration for the core blocks and exhibits the same movements of the 2.times.2.times.2 puzzle, i.e., movement of any one block along with three other blocks about any of three mutually perpendicular axes passing through the center of the device. In addition, the present puzzle device provides rotatable movement of pyramid blocks about an axis which is perpendicular to the plane surface to which the pyramid blocks are secured and provides for movement of the pyramid blocks along with the supporting core block or blocks when the core blocks are moved relative to other core blocks. Connection means for core blocks of 2.times.2.times.2 puzzle are provided along with connection means for pyramid blocks of the present puzzle.