Abstract: A machine for slicing a piece of a foodstuff has a base having front and rear ends and provided with at least one guide extending longitudinally therebetween, a carriage longitudinally displaceable along the guide on the base and formed with a seat adapted to receive the foodstuff piece and with a plurality of longitudinally extending and upwardly open slots at the seat, and a blade frame pivotal about a horizontal transverse axis at the rear end of the base and provided with a plurality of blades extending radially of the axis. This frame is pivotal between an upper position with the blades extending upward clear of the carriage from the axis and a lower position with the blades extending horizontally longitudinally and received in the slots. A link is connected between the carriage and the blade frame for displacing the carriage longitudinally from the rear base end to the front base end on displacement of the blade frame from the upper to the lower position and vice versa.