The micellization and morphology of spherical telechelic micelles formed by triblock copolymers with short solvophobic end blocks at low concentrations are discussed within scaling arguments and Single Chain Mean Field Theory (SCMFT). In an ultradilute regime, individual telechelic polymer chains can exist in solution in two distinct states: an open linear chain conformation with two free ends and a closed loop conformation in which two ends are connected by the effective attraction between two solvophobic ends. At concentrations below the gelation point, closed loops tend to form micelles comprised mostly of loops in flower-like micelles, while linear polymers in open conformations tend to form star-shaped aggregates with one hydrophobic dangling end. The resulting two kinds of micelles have remarkably different topologies and dimensions, while the transition between them can be driven by the entropy, namely conformation changes between domination of the looped and linear conformations. The transition between two types of micelles lies in a narrow interaction parameters range. Thus, these topological micelles are very sensitive to the changes in the external environment, and they can serve as very sensitive stimuli responsive smart materials.