A modular construction toy kit includes components to construct a modular construction toy. The toy kit includes at least three contoured body sections operable to be interconnected in series with one another to cooperatively form a continuous toy body. The body sections include at least one transition body section and a pair of end body sections. Each end body section is truncated to present a contoured outer end surface that is intersected by an end joining face. The end joining faces have different marginal shapes and/or sizes. The at least one transition section presents a contoured outer transition surface and opposite, endmost transition joining faces that intersect the outer transition surface. Each endmost transition joining face marginally matches a respective one of the end joining faces to define a connection interface.