Abstract: Puzzle games, comprised of two-sided component puzzle pieces assembled in a tray having a transparent base for viewing both sides of the assembly. The assembly bears a pattern or design which depicts one or more morphologic or other objects exhibiting inter-object or intra-object symmetries. The puzzle pieces have perimetric shapes conforming to symmetric boundaries within the overall pattern or design. Each pattern or design is variegated and some of the pieces may be themselves variegated. At least some of the puzzle pieces are interchangeable with other puzzle pieces in front-to-front, back-to-front, and/or back-to-back relationship to produce a kaleidosymmetric effect. Some morphologic objects bear realistic markings; and some consist of two or more components which may be interchanged with like pieces in other like morphologic objects bearing different realistic markings to create morphologic objects with fanciful markings.