Abstract: The present invention discloses a spherical puzzle whose visible segments are delimited by seven planar sections through the center of said sphere and may be permuted by rotations of hemispherical groups of visible segments with respect to any planar section of the puzzle about an axis perpendicular to said section through the center of said sphere. Three planar sections are parallel to the faces of a cube inscribed in said sphere, and the remaining planar sections are perpendicular to the diagonals of said cube. The visible segments comprise eight arcuate equilateral triangles and twenty-four arcuate right triangular triangles. As a novelty, this invention integrates an interlocking mechanism of the arcuate right triangular outer segments to a spherical center support with four axes of rotation, with a slidable spring activated interlocking mechanism of the arcuate equilateral triangular outer segments to their side neighbors.