Abstract: A machine for cutting a block of soft material has a machine frame, a table adapted to support the soft-material block adjacent the machine frame, a center support shiftable transversely on the machine frame relative to the table, and a cutting tool carried on and transversely shiftable with the center support and engageable with the block on the table for longitudinally cutting the block. A hold-down device has a hold-down frame vertically displaceable on the machine frame above the table and a plurality of longitudinally shiftable hold-down plates longitudinally shiftable on the hold-down frame and separated by longitudinally extending gaps at least one which is transversely wider than the center support. The center support projects vertically through the one gap.