Abstract: A fit-together type puzzle comprising a number of ball blocks of varying configurations with each ball block being composed of an equal number of balls joined together. The ball blocks are fitted together with one another to selectably form a planar triangular figure, a planar elongate hexagonal figure, and a solid regular tetrahedral figure. Each ball block is composed of such number of balls that the planar triangular figure is composed of thirty-five balls, the planar elongate hexagonal figure is composed of thirty balls, and the solid regular tetrahedral figure has one side thereof composed of fifteen balls. A board which has recesses or a set of semi-spherical depressions thereon corresponding to the figures is provided to receive the balls blocks.