How can plants move without muscles, nerves and technical hinge analogies? Carnivorous bladderworts (Utricularia spp., Lentibulariaceae) perform one of the fastest movements known in the plant kingdom by capturing their prey (mainly small crustaceans) with suction traps. Capture lasts only half a millisecond, and animals are sucked into the trap with an acceleration of 600 g, which leaves no chance of escape. We review the current state of knowledge about these sophisticated trapping devices, highlight their biomechanical, functional-morphological and physiological peculiarities and discuss open questions for possible future studies.