A three-dimensional platform comprising a tessellated surface of pieces, each piece comprising a top and sides. The pieces comprise a fixed square piece having at least two opposing sides orientated acutely relative to the top to define a fixed square retention surface. The remaining surfaces orientate substantially perpendicular relative to the top. There is a mobile square piece having at least two opposing sides orientated obtusely relative to the top to define a mobile square retention surface. The remaining surfaces are oriented substantially perpendicular relative to the top. A mobile triangular piece having all sides orientated obtusely relative to the top. The fixed square retention surface indexes only with either the mobile square retention surface or the triangular piece surface to effect retention of the pieces to define the three-dimensional platform.

A three-dimensional platform comprising a tessellated surface of pieces, each piece comprising a top and sides. The pieces comprise a fixed square piece having at least two opposing sides orientated acutely relative to the top to define a fixed square retention surface. The remaining surfaces orientate substantially perpendicular relative to the top. There is a mobile square piece having at least two opposing sides orientated obtusely relative to the top to define a mobile square retention surface. The remaining surfaces are oriented substantially perpendicular relative to the top. A mobile triangular piece having all sides orientated obtusely relative to the top. The fixed square retention surface indexes only with either the mobile square retention surface or the triangular piece surface to effect retention of the pieces to define the three-dimensional platform.

A sliding puzzle toy is provided, including a main body and sliders slidably connected to the main body. The main body includes two bottom walls and a side wall, wherein at least one of the two bottom walls is provided with a recessed slot and a separable block, one side of the recessed slot is connected to the side wall, an arc transition is provided at a connection between the recessed slot and the side wall, and the separable block is movably or detachably connected to the recessed slot. The outer surface of the side wall is provided with sliding grooves that intersects with each other along circumferential and longitudinal directions, the sliding grooves are movably connected to the sliders, and one of the longitudinal sliding grooves passes through a connection between the recessed slot and the side wall and extends towards a bottom wall of the recessed slot.